id	sid	eid	entity	type
ejpam-854	1	1	7_854_xu.dvi	CARDINAL
ejpam-854	1	2	european	NORP
ejpam-854	2	1	3	CARDINAL
ejpam-854	2	2	6, 2010	DATE
ejpam-854	2	3	1032-1047	CARDINAL
ejpam-854	2	4	hari m. srivastava	PERSON
ejpam-854	2	5	70th	ORDINAL
ejpam-854	2	6	generalized ulam-hyers	PERSON
ejpam-854	3	1	tian zhou xu1,∗	PERSON
ejpam-854	3	2	john michael	PERSON
ejpam-854	3	3	2	DATE
ejpam-854	3	4	wan xin xu	PERSON
ejpam-854	4	1	3 1	CARDINAL
ejpam-854	4	2	beijing institute of technology	ORG
ejpam-854	4	3	beijing	GPE
ejpam-854	4	4	100081	DATE
ejpam-854	4	5	peoples republic of china 2	ORG
ejpam-854	4	6	capodistrian university of athens	ORG
ejpam-854	4	7	4	DATE
ejpam-854	4	8	athens	GPE
ejpam-854	4	9	15342	DATE
ejpam-854	4	10	greece 3	ORG
ejpam-854	4	11	china	GPE
ejpam-854	4	12	peoples republic of china	ORG
ejpam-854	8	1	2y	CARDINAL
ejpam-854	9	1	4	CARDINAL
ejpam-854	10	1	2000	CARDINAL
ejpam-854	10	2	39b82	CARDINAL
ejpam-854	10	3	39b52	CARDINAL
ejpam-854	10	4	46b99	CARDINAL
ejpam-854	11	1	xutianzhou�bit.edu	CARDINAL
ejpam-854	13	1	t. xu	PERSON
ejpam-854	13	2	ioannis.rassias	PERSON
ejpam-854	13	3	j. rassias	PERSON
ejpam-854	13	4	wxbit0930	PERSON
ejpam-854	15	1	om	PERSON
ejpam-854	15	2	w. xu	PERSON
ejpam-854	16	1	2010	DATE
ejpam-854	17	1	t. xu	PERSON
ejpam-854	17	2	j. rassias	PERSON
ejpam-854	17	3	w. xu	PERSON
ejpam-854	18	1	j. pure	PERSON
ejpam-854	18	2	3	CARDINAL
ejpam-854	18	3	2010	DATE
ejpam-854	18	4	1032-1047 1033 1	CARDINAL
ejpam-854	18	5	one	CARDINAL
ejpam-854	19	1	first	ORDINAL
ejpam-854	19	2	35	CARDINAL
ejpam-854	19	3	1940	DATE
ejpam-854	19	4	17	CARDINAL
ejpam-854	21	1	28	CARDINAL
ejpam-854	23	1	1994	DATE
ejpam-854	24	1	11	CARDINAL
ejpam-854	24	2	ϕ(x	LOC
ejpam-854	25	1	j. m. rassias et al.([29]-[32	PERSON
ejpam-854	25	2	37]-[39	CARDINAL
ejpam-854	25	3	two	CARDINAL
ejpam-854	26	1	2]-[3	CARDINAL
ejpam-854	26	2	6	CARDINAL
ejpam-854	27	1	8]-[16	CARDINAL
ejpam-854	27	2	18	CARDINAL
ejpam-854	28	1	20]-[27	CARDINAL
ejpam-854	29	1	33	CARDINAL
ejpam-854	30	1	36]-[42	CARDINAL
ejpam-854	31	1	4	CARDINAL
ejpam-854	31	2	19	CARDINAL
ejpam-854	32	1	1	CARDINAL
ejpam-854	32	2	4	DATE
ejpam-854	32	3	19	CARDINAL
ejpam-854	34	1	34	CARDINAL
ejpam-854	34	2	40	CARDINAL
ejpam-854	36	1	2	CARDINAL
ejpam-854	36	2	1	CARDINAL
ejpam-854	37	1	1	CARDINAL
ejpam-854	40	1	2001	DATE
ejpam-854	40	2	j. m. rassias	PERSON
ejpam-854	41	1	29	CARDINAL
ejpam-854	42	1	6	CARDINAL
ejpam-854	42	2	2	CARDINAL
ejpam-854	43	1	2	CARDINAL
ejpam-854	45	1	2y	CARDINAL
ejpam-854	45	2	4	CARDINAL
ejpam-854	45	3	3	CARDINAL
ejpam-854	45	4	j. m. rassias	PERSON
ejpam-854	46	1	31	CARDINAL
ejpam-854	47	1	x4	PERSON
ejpam-854	47	2	3	CARDINAL
ejpam-854	50	1	25	CARDINAL
ejpam-854	52	1	4	CARDINAL
ejpam-854	52	2	y)+4	DATE
ejpam-854	52	3	2y)+	CARDINAL
ejpam-854	52	4	4	CARDINAL
ejpam-854	52	5	t. xu	PERSON
ejpam-854	52	6	j. rassias	PERSON
ejpam-854	52	7	w. xu	PERSON
ejpam-854	53	1	j. pure	PERSON
ejpam-854	53	2	3	CARDINAL
ejpam-854	53	3	2010	DATE
ejpam-854	53	4	1032-1047 1034	CARDINAL
ejpam-854	53	5	non-archimedean	NORP
ejpam-854	53	6	normed	ORG
ejpam-854	54	1	9	CARDINAL
ejpam-854	54	2	33	DATE
ejpam-854	57	1	2y	CARDINAL
ejpam-854	58	1	4	CARDINAL
ejpam-854	58	2	5	CARDINAL
ejpam-854	58	3	4	CARDINAL
ejpam-854	59	1	h. g. dales	PERSON
ejpam-854	59	2	m. e. polyakov	PERSON
ejpam-854	59	3	5	CARDINAL
ejpam-854	61	1	5	CARDINAL
ejpam-854	63	1	6	CARDINAL
ejpam-854	63	2	moslehian et al	PERSON
ejpam-854	64	1	wang et al	PERSON
ejpam-854	65	1	36	CARDINAL
ejpam-854	66	1	1996	DATE
ejpam-854	66	2	isac	PERSON
ejpam-854	67	1	18	CARDINAL
ejpam-854	67	2	first	ORDINAL
ejpam-854	68	1	2]-[3	CARDINAL
ejpam-854	69	1	6]-[7	CARDINAL
ejpam-854	69	2	20	CARDINAL
ejpam-854	71	1	36	CARDINAL
ejpam-854	72	1	38	CARDINAL
ejpam-854	73	1	5	CARDINAL
ejpam-854	74	1	2	CARDINAL
ejpam-854	74	2	5]-[6	CARDINAL
ejpam-854	76	1	k ∈ n.	PERSON
ejpam-854	76	2	⊕	GPE
ejpam-854	77	1	⊕	PERSON
ejpam-854	84	1	0	DATE
ejpam-854	85	1	0	DATE
ejpam-854	86	1	0	DATE
ejpam-854	87	1	zero	CARDINAL
ejpam-854	87	2	0	CARDINAL
ejpam-854	88	1	nk	ORG
ejpam-854	88	2	1,2	CARDINAL
ejpam-854	89	1	1	CARDINAL
ejpam-854	90	1	k ∈ n	PERSON
ejpam-854	90	2	k ∈ n	PERSON
ejpam-854	90	3	k ∈ n	ORG
ejpam-854	90	4	k ∈ n	ORG
ejpam-854	90	5	2	CARDINAL
ejpam-854	94	1	xk ∈	PERSON
ejpam-854	96	1	|αi|)‖(x1	PRODUCT
ejpam-854	99	1	∈	ORG
ejpam-854	100	1	1	CARDINAL
ejpam-854	101	1	k	PERSON
ejpam-854	101	2	‖(x1	DATE
ejpam-854	103	1	xk−1	ORG
ejpam-854	104	1	xk−1)‖k−1	ORG
ejpam-854	106	1	xk−1 ∈	ORG
ejpam-854	108	1	xk−1	GPE
ejpam-854	110	1	xk−1)‖k−1	ORG
ejpam-854	112	1	xk−1 ∈	ORG
ejpam-854	113	1	t. xu	PERSON
ejpam-854	113	2	j. rassias	PERSON
ejpam-854	113	3	w. xu	PERSON
ejpam-854	114	1	j. pure	PERSON
ejpam-854	114	2	3	CARDINAL
ejpam-854	114	3	2010	DATE
ejpam-854	114	4	1032-1047 1035	CARDINAL
ejpam-854	115	1	k ∈ n	PERSON
ejpam-854	116	1	k ∈ n	PERSON
ejpam-854	116	2	k ∈ n.	PERSON
ejpam-854	118	1	x)‖k = ‖x‖	PERSON
ejpam-854	118	2	max	PERSON
ejpam-854	118	3	i∈nk ‖x	PERSON
ejpam-854	121	1	≤ k max	PERSON
ejpam-854	123	1	k ∈ n	ORG
ejpam-854	124	1	k ∈ n	PERSON
ejpam-854	125	1	two	CARDINAL
ejpam-854	125	2	5]-[6	CARDINAL
ejpam-854	127	1	1	CARDINAL
ejpam-854	129	1	k ∈ n	PERSON
ejpam-854	129	2	k ∈ n	PERSON
ejpam-854	129	3	‖(x1	DATE
ejpam-854	131	1	max	PERSON
ejpam-854	131	2	i∈nk ‖x	PERSON
ejpam-854	132	1	xk ∈	PERSON
ejpam-854	135	1	2	CARDINAL
ejpam-854	136	1	‖α k : k ∈ n	PERSON
ejpam-854	137	1	k ∈ n	PERSON
ejpam-854	138	1	k ∈ n	ORG
ejpam-854	140	1	xk)‖|k	PERSON
ejpam-854	143	1	xk)‖ α k	PERSON
ejpam-854	145	1	k ∈ n	PERSON
ejpam-854	145	2	k ∈ n	PERSON
ejpam-854	146	1	2	CARDINAL
ejpam-854	148	1	k ∈ n	PERSON
ejpam-854	149	1	0	CARDINAL
ejpam-854	149	2	n0 ∈ n	ORG
ejpam-854	149	3	sup k∈n ‖(xn	ORG
ejpam-854	150	1	n0	GPE
ejpam-854	151	1	xn−	DATE
ejpam-854	152	1	lim n→∞	PERSON
ejpam-854	155	1	1	CARDINAL
ejpam-854	155	2	d(x	ORG
ejpam-854	156	1	2	CARDINAL
ejpam-854	156	2	d(x	ORG
ejpam-854	156	3	3	CARDINAL
ejpam-854	156	4	d(x	ORG
ejpam-854	156	5	d(x	ORG
ejpam-854	158	1	1	CARDINAL
ejpam-854	158	2	2	CARDINAL
ejpam-854	158	3	7	DATE
ejpam-854	158	4	20	DATE
ejpam-854	158	5	25	DATE
ejpam-854	158	6	38	DATE
ejpam-854	159	1	ω	ORDINAL
ejpam-854	160	1	0≤ l < 1	DATE
ejpam-854	160	2	d(j	PERSON
ejpam-854	160	3	j y)≤	PERSON
ejpam-854	160	4	∈	ORG
ejpam-854	161	1	t. xu	PERSON
ejpam-854	161	2	j. rassias	PERSON
ejpam-854	161	3	w. xu	PERSON
ejpam-854	162	1	j. pure	PERSON
ejpam-854	162	2	3	CARDINAL
ejpam-854	162	3	2010	DATE
ejpam-854	162	4	1032-1047 1036	CARDINAL
ejpam-854	162	5	∈ ω	ORG
ejpam-854	162	6	d(j mx	PERSON
ejpam-854	162	7	j m+1x	PERSON
ejpam-854	163	1	d(j mx	PERSON
ejpam-854	165	1	second	ORDINAL
ejpam-854	165	2	3	CARDINAL
ejpam-854	165	3	generalized hyers	PERSON
ejpam-854	165	4	5	CARDINAL
ejpam-854	169	1	2(1−	PRODUCT
ejpam-854	169	2	2y	CARDINAL
ejpam-854	170	1	4	CARDINAL
ejpam-854	171	1	2	CARDINAL
ejpam-854	173	1	k ∈ n	PERSON
ejpam-854	174	1	k∈n	GPE
ejpam-854	177	1	6	CARDINAL
ejpam-854	179	1	yk ∈ e.	PERSON
ejpam-854	181	1	2xk)− 8 f	QUANTITY
ejpam-854	181	2	7	CARDINAL
ejpam-854	182	1	e. proof	PERSON
ejpam-854	186	1	yk ∈	PERSON
ejpam-854	186	2	6	CARDINAL
ejpam-854	187	1	x1− ny1)− n2	QUANTITY
ejpam-854	190	1	2(1− n2	QUANTITY
ejpam-854	191	1	∈	ORG
ejpam-854	192	1	1− n)x1)− n2	LAW
ejpam-854	192	2	2x1)− 2(1− n2	TIME
ejpam-854	194	1	1+	DATE
ejpam-854	195	1	1−	ORDINAL
ejpam-854	195	2	2xk)− 2(1− n2	QUANTITY
ejpam-854	196	1	9	CARDINAL
ejpam-854	196	2	t. xu	PERSON
ejpam-854	196	3	j. rassias	PERSON
ejpam-854	196	4	w. xu	PERSON
ejpam-854	197	1	j. pure	PERSON
ejpam-854	197	2	3	CARDINAL
ejpam-854	197	3	2010	DATE
ejpam-854	197	4	1032-1047 1037	CARDINAL
ejpam-854	197	5	2x	CARDINAL
ejpam-854	197	6	∈	ORG
ejpam-854	197	7	9	CARDINAL
ejpam-854	197	8	2(1	CARDINAL
ejpam-854	198	1	2(1− n)x1)− n2 f	QUANTITY
ejpam-854	198	2	2(1− n2	PRODUCT
ejpam-854	198	3	2x1	CARDINAL
ejpam-854	198	4	2(1+ n)xk	DATE
ejpam-854	199	1	2(1−	CARDINAL
ejpam-854	199	2	4xk)− 2(1− n2	QUANTITY
ejpam-854	199	3	2xk))‖k ≤ ǫ	DATE
ejpam-854	200	1	10	CARDINAL
ejpam-854	200	2	2x	CARDINAL
ejpam-854	200	3	∈	ORG
ejpam-854	201	1	2+ n)x1	DATE
ejpam-854	202	1	3x1)−	FAC
ejpam-854	202	2	2x1	CARDINAL
ejpam-854	204	1	2+ n)xk	DATE
ejpam-854	205	1	3xk)− n2 f	QUANTITY
ejpam-854	205	2	2xk))‖k ≤ ǫ	DATE
ejpam-854	206	1	11	CARDINAL
ejpam-854	206	2	2x	CARDINAL
ejpam-854	206	3	∈	ORG
ejpam-854	208	1	1− 2n)x1)− n2 f	QUANTITY
ejpam-854	208	2	3x1	CARDINAL
ejpam-854	208	3	2(1−	PRODUCT
ejpam-854	209	1	1+ 2n)xk	DATE
ejpam-854	210	1	1− 2n)xk)− n2 f	PRODUCT
ejpam-854	210	2	3xk	ORDINAL
ejpam-854	211	1	12	CARDINAL
ejpam-854	211	2	3x	CARDINAL
ejpam-854	211	3	∈	ORG
ejpam-854	213	1	1− 3n)x1)− n2 f	QUANTITY
ejpam-854	213	2	4x1	CARDINAL
ejpam-854	213	3	2x1)− 2(1− n2	TIME
ejpam-854	214	1	1+ 3n)xk	DATE
ejpam-854	215	1	1− 3n)xk)− n2 f	QUANTITY
ejpam-854	215	2	4xk	ORDINAL
ejpam-854	215	3	2xk)− 2(1− n2	QUANTITY
ejpam-854	216	1	13	CARDINAL
ejpam-854	217	1	∈	ORG
ejpam-854	218	1	2+ n)x1)−	DATE
ejpam-854	219	1	1+ 2n)xk	DATE
ejpam-854	220	1	2+	DATE
ejpam-854	220	2	n2 f	PRODUCT
ejpam-854	221	1	14	CARDINAL
ejpam-854	222	1	∈	ORG
ejpam-854	223	1	1− 2n)x1)− n2 f	QUANTITY
ejpam-854	226	1	−n2	ORG
ejpam-854	226	2	15	CARDINAL
ejpam-854	226	3	14	CARDINAL
ejpam-854	226	4	15	CARDINAL
ejpam-854	227	1	1− 2n)x1	CARDINAL
ejpam-854	227	2	2+ n)x1	DATE
ejpam-854	227	3	1+ n)x1)−	DATE
ejpam-854	227	4	2− n)x1)− 2(1−	TIME
ejpam-854	228	1	1+ 2n)xk	DATE
ejpam-854	229	1	1−	ORDINAL
ejpam-854	229	2	2+	DATE
ejpam-854	229	3	2− n)xk)−	TIME
ejpam-854	229	4	2(1− n2	PERSON
ejpam-854	229	5	1+	DATE
ejpam-854	229	6	2(1− n2	PRODUCT
ejpam-854	230	1	16	CARDINAL
ejpam-854	230	2	∈	ORG
ejpam-854	231	1	1+ n)x1)−	DATE
ejpam-854	231	2	2(1	CARDINAL
ejpam-854	231	3	2nx1	CARDINAL
ejpam-854	232	1	1+ 3n)xk	DATE
ejpam-854	233	1	1+	DATE
ejpam-854	233	2	2(1	CARDINAL
ejpam-854	233	3	n2 f	PRODUCT
ejpam-854	233	4	2nxk)−	CARDINAL
ejpam-854	233	5	2(1−	PRODUCT
ejpam-854	233	6	1+ 2n)xk))‖k ≤ ǫ	DATE
ejpam-854	234	1	17	CARDINAL
ejpam-854	234	2	t. xu	PERSON
ejpam-854	234	3	j. rassias	PERSON
ejpam-854	234	4	w. xu	PERSON
ejpam-854	235	1	j. pure	PERSON
ejpam-854	235	2	3	CARDINAL
ejpam-854	235	3	2010	DATE
ejpam-854	235	4	1032-1047 1038	CARDINAL
ejpam-854	235	5	1− 2n)x	CARDINAL
ejpam-854	235	6	∈	ORG
ejpam-854	236	1	1− 3n)x1)	TIME
ejpam-854	237	1	1− n)x1)− n2	LAW
ejpam-854	237	2	2(1−	CARDINAL
ejpam-854	237	3	2nx1	CARDINAL
ejpam-854	237	4	1− 2n)x1	CARDINAL
ejpam-854	238	1	1− 3n)xk	DATE
ejpam-854	239	1	1− n)xk	DATE
ejpam-854	239	2	2(1−	CARDINAL
ejpam-854	239	3	2nxk)−	CARDINAL
ejpam-854	239	4	2(1−	PRODUCT
ejpam-854	239	5	18	CARDINAL
ejpam-854	239	6	17	CARDINAL
ejpam-854	239	7	18	CARDINAL
ejpam-854	240	1	1− 3n)x1)	TIME
ejpam-854	242	1	2(1	CARDINAL
ejpam-854	242	2	2(1− n)x1)− 2(1−	PRODUCT
ejpam-854	242	3	1− 2n)x1	CARDINAL
ejpam-854	243	1	1+ 3n)xk	DATE
ejpam-854	244	1	1− 3n)xk	DATE
ejpam-854	245	1	1+	DATE
ejpam-854	246	1	1−	ORDINAL
ejpam-854	246	2	2(1	CARDINAL
ejpam-854	246	3	2(1−	CARDINAL
ejpam-854	247	1	19	CARDINAL
ejpam-854	247	2	9	CARDINAL
ejpam-854	247	3	11	CARDINAL
ejpam-854	247	4	12	CARDINAL
ejpam-854	247	5	16	CARDINAL
ejpam-854	247	6	2x1	CARDINAL
ejpam-854	249	1	2xk	ORDINAL
ejpam-854	250	1	20	CARDINAL
ejpam-854	250	2	9	CARDINAL
ejpam-854	250	3	10	CARDINAL
ejpam-854	250	4	12	CARDINAL
ejpam-854	250	5	13	CARDINAL
ejpam-854	250	6	19	CARDINAL
ejpam-854	250	7	2x1	CARDINAL
ejpam-854	252	1	3xk	ORDINAL
ejpam-854	252	2	2xk	ORDINAL
ejpam-854	254	1	21	CARDINAL
ejpam-854	254	2	20	CARDINAL
ejpam-854	254	3	21	CARDINAL
ejpam-854	255	1	2xk)+ 16	DATE
ejpam-854	256	1	22	CARDINAL
ejpam-854	256	2	ω	ORG
ejpam-854	256	3	d(g	ORG
ejpam-854	257	1	k∈n	GPE
ejpam-854	260	1	xk ∈	PERSON
ejpam-854	260	2	k ∈ n	PERSON
ejpam-854	261	1	ω	ORDINAL
ejpam-854	261	2	20	CARDINAL
ejpam-854	261	3	2.1	CARDINAL
ejpam-854	262	1	j : ω → ω	ORG
ejpam-854	262	2	j g(x	PERSON
ejpam-854	263	1	g(2x)/2	PRODUCT
ejpam-854	263	2	∈ ω	ORG
ejpam-854	263	3	d(g	ORG
ejpam-854	265	1	xk ∈	PERSON
ejpam-854	265	2	k ∈ n.	PERSON
ejpam-854	266	1	j g(xk)−	PERSON
ejpam-854	266	2	k∈n ‖(g(2x1)−	ORG
ejpam-854	269	1	2	CARDINAL
ejpam-854	269	2	t. xu	PERSON
ejpam-854	269	3	j. rassias	PERSON
ejpam-854	269	4	w. xu	PERSON
ejpam-854	270	1	j. pure	PERSON
ejpam-854	270	2	3	CARDINAL
ejpam-854	270	3	2010	DATE
ejpam-854	270	4	1032-1047 1039	CARDINAL
ejpam-854	271	1	xk ∈	PERSON
ejpam-854	271	2	k ∈ n.	PERSON
ejpam-854	271	3	d(j g	PERSON
ejpam-854	271	4	jh	PERSON
ejpam-854	272	1	d(j g	PERSON
ejpam-854	272	2	∈ ω	ORG
ejpam-854	273	1	1/2	CARDINAL
ejpam-854	274	1	f̃	PERSON
ejpam-854	274	2	f̃	PERSON
ejpam-854	275	1	22	CARDINAL
ejpam-854	275	2	f̃	PRODUCT
ejpam-854	275	3	f̃	PERSON
ejpam-854	275	4	2xk)− 2 f̃	QUANTITY
ejpam-854	276	1	23	CARDINAL
ejpam-854	276	2	23	CARDINAL
ejpam-854	276	3	1/2	CARDINAL
ejpam-854	280	1	j f̃	PERSON
ejpam-854	280	2	+ 4 2(n4−	DATE
ejpam-854	281	1	24	CARDINAL
ejpam-854	281	2	d(j f̃	PERSON
ejpam-854	281	3	1	CARDINAL
ejpam-854	281	4	f̃	PRODUCT
ejpam-854	282	1	a(2x	NORP
ejpam-854	282	2	2a(x	CARDINAL
ejpam-854	282	3	j m f̃	PERSON
ejpam-854	282	4	1 2m	QUANTITY
ejpam-854	282	5	f̃	PRODUCT
ejpam-854	282	6	2mx	ORDINAL
ejpam-854	282	7	25	CARDINAL
ejpam-854	282	8	f̃	PRODUCT
ejpam-854	283	1	f̃	PRODUCT
ejpam-854	284	1	f̃	PRODUCT
ejpam-854	284	2	j f̃	PERSON
ejpam-854	284	3	+ 4	DATE
ejpam-854	285	1	7	CARDINAL
ejpam-854	286	1	‖da(x	GPE
ejpam-854	286	2	y)‖= lim	PERSON
ejpam-854	287	1	2m+1 x	QUANTITY
ejpam-854	287	2	2m+1	CARDINAL
ejpam-854	287	3	8d	CARDINAL
ejpam-854	288	1	2mx	ORDINAL
ejpam-854	288	2	2	CARDINAL
ejpam-854	288	3	y)‖ ≤ lim	FAC
ejpam-854	288	4	2	CARDINAL
ejpam-854	288	5	5	CARDINAL
ejpam-854	289	1	2.2	CARDINAL
ejpam-854	289	2	33	CARDINAL
ejpam-854	289	3	a(2x)−8a(x	PERSON
ejpam-854	290	1	a(2x	NORP
ejpam-854	290	2	2a(x	CARDINAL
ejpam-854	291	1	7	CARDINAL
ejpam-854	292	1	1	CARDINAL
ejpam-854	292	2	only one	CARDINAL
ejpam-854	294	1	3	CARDINAL
ejpam-854	296	1	k ∈ n	PERSON
ejpam-854	297	1	k∈n	GPE
ejpam-854	302	1	yk ∈ e.	PERSON
ejpam-854	303	1	x1)− c(x1	ORG
ejpam-854	304	1	2xk)− 2 f	QUANTITY
ejpam-854	304	2	+ 4	DATE
ejpam-854	306	1	e. t. xu	PERSON
ejpam-854	306	2	j. rassias	PERSON
ejpam-854	306	3	w. xu	PERSON
ejpam-854	307	1	j. pure	PERSON
ejpam-854	307	2	3	CARDINAL
ejpam-854	307	3	2010	DATE
ejpam-854	307	4	1032-1047	CARDINAL
ejpam-854	308	1	2	CARDINAL
ejpam-854	308	2	4	CARDINAL
ejpam-854	310	1	k ∈ n	PERSON
ejpam-854	311	1	0	CARDINAL
ejpam-854	311	2	k∈n	GPE
ejpam-854	314	1	26	CARDINAL
ejpam-854	316	1	yk ∈ e.	PERSON
ejpam-854	317	1	x1)− b(x1	GPE
ejpam-854	318	1	2xk)− 16 f	QUANTITY
ejpam-854	318	2	27	CARDINAL
ejpam-854	320	1	e. proof	PERSON
ejpam-854	324	1	yk ∈	PERSON
ejpam-854	324	2	26	CARDINAL
ejpam-854	325	1	x1− ny1)− n2	QUANTITY
ejpam-854	325	2	2(1−	PRODUCT
ejpam-854	326	1	2	CARDINAL
ejpam-854	326	2	2y1)−	CARDINAL
ejpam-854	327	1	xk+ nyk	PERSON
ejpam-854	329	1	2(1− n2	PERSON
ejpam-854	329	2	2	CARDINAL
ejpam-854	329	3	2yk)− 8	CARDINAL
ejpam-854	330	1	28	CARDINAL
ejpam-854	331	1	28	CARDINAL
ejpam-854	332	1	2(1−	PRODUCT
ejpam-854	333	1	2	CARDINAL
ejpam-854	335	1	xk+ yk	PERSON
ejpam-854	336	1	2(1− n2	PERSON
ejpam-854	336	2	2	CARDINAL
ejpam-854	336	3	2xk)− 8	CARDINAL
ejpam-854	337	1	29	CARDINAL
ejpam-854	337	2	∈	ORG
ejpam-854	337	3	29	CARDINAL
ejpam-854	340	1	2	CARDINAL
ejpam-854	341	1	2	CARDINAL
ejpam-854	341	2	2	CARDINAL
ejpam-854	341	3	2xk)− 8	CARDINAL
ejpam-854	342	1	30	CARDINAL
ejpam-854	342	2	∈	ORG
ejpam-854	342	3	29	CARDINAL
ejpam-854	342	4	1)x1	CARDINAL
ejpam-854	343	1	1)x1)− n2 f	QUANTITY
ejpam-854	343	2	2x1)− 2(1− n2	TIME
ejpam-854	344	1	2	CARDINAL
ejpam-854	347	1	2xk)− 2(1− n2	QUANTITY
ejpam-854	348	1	2	CARDINAL
ejpam-854	348	2	2xk)− 8	CARDINAL
ejpam-854	349	1	31	CARDINAL
ejpam-854	349	2	2x	CARDINAL
ejpam-854	349	3	∈	ORG
ejpam-854	349	4	30	CARDINAL
ejpam-854	350	1	2nx1)−	CARDINAL
ejpam-854	350	2	2	CARDINAL
ejpam-854	350	3	2x1	CARDINAL
ejpam-854	352	1	2	CARDINAL
ejpam-854	352	2	2nxk)−	CARDINAL
ejpam-854	352	3	2xk)−	CARDINAL
ejpam-854	352	4	2	CARDINAL
ejpam-854	352	5	2xk)])‖k ≤	QUANTITY
ejpam-854	353	1	32	CARDINAL
ejpam-854	353	2	t. xu	PERSON
ejpam-854	353	3	j. rassias	PERSON
ejpam-854	353	4	w. xu	PERSON
ejpam-854	354	1	j. pure	PERSON
ejpam-854	354	2	3	CARDINAL
ejpam-854	354	3	2010	DATE
ejpam-854	354	4	1032-1047 1041	CARDINAL
ejpam-854	354	5	∈	ORG
ejpam-854	354	6	29	CARDINAL
ejpam-854	355	1	2nx1)− n2 f	QUANTITY
ejpam-854	355	2	1+ n)x1)−	DATE
ejpam-854	355	3	1− n)x1)− 2(1−	LAW
ejpam-854	356	1	2	CARDINAL
ejpam-854	357	1	2nxk)− n2	QUANTITY
ejpam-854	357	2	1+	DATE
ejpam-854	357	3	1−	ORDINAL
ejpam-854	357	4	2(1− n2	PERSON
ejpam-854	357	5	2	CARDINAL
ejpam-854	357	6	2xk)− 8	CARDINAL
ejpam-854	358	1	33	CARDINAL
ejpam-854	358	2	30)-(33	CARDINAL
ejpam-854	358	3	4x1)−20	DATE
ejpam-854	358	4	2x1)+64	CARDINAL
ejpam-854	359	1	4x1)−20	DATE
ejpam-854	359	2	2x1)+64	CARDINAL
ejpam-854	360	1	34	CARDINAL
ejpam-854	360	2	ω	ORG
ejpam-854	360	3	d(g	ORG
ejpam-854	361	1	k∈n	GPE
ejpam-854	364	1	xk ∈	PERSON
ejpam-854	364	2	k ∈ n	PERSON
ejpam-854	365	1	ω	ORDINAL
ejpam-854	365	2	20	CARDINAL
ejpam-854	365	3	2.1	CARDINAL
ejpam-854	366	1	j : ω → ω	ORG
ejpam-854	366	2	j g(x	PERSON
ejpam-854	367	1	g(2x)/4	NORP
ejpam-854	367	2	∈ ω	ORG
ejpam-854	367	3	d(g	ORG
ejpam-854	369	1	xk ∈	PERSON
ejpam-854	369	2	k ∈ n.	PERSON
ejpam-854	370	1	j g(xk)−	PERSON
ejpam-854	375	1	xk ∈	PERSON
ejpam-854	375	2	k ∈ n.	PERSON
ejpam-854	375	3	d(j g	PERSON
ejpam-854	375	4	jh	PERSON
ejpam-854	376	1	d(j g	PERSON
ejpam-854	376	2	d(g	ORG
ejpam-854	376	3	∈ ω	ORG
ejpam-854	377	1	1/4	CARDINAL
ejpam-854	378	1	f̃	PERSON
ejpam-854	378	2	f̃	PERSON
ejpam-854	379	1	2x)−16	CARDINAL
ejpam-854	379	2	34	CARDINAL
ejpam-854	379	3	f̃	PRODUCT
ejpam-854	379	4	f̃	PERSON
ejpam-854	379	5	2xk)− 4 f̃	QUANTITY
ejpam-854	379	6	35	CARDINAL
ejpam-854	379	7	35	CARDINAL
ejpam-854	379	8	1/4	CARDINAL
ejpam-854	383	1	j f̃	PERSON
ejpam-854	384	1	36	CARDINAL
ejpam-854	384	2	d(j f̃	PERSON
ejpam-854	387	1	1	CARDINAL
ejpam-854	388	1	f̃	PRODUCT
ejpam-854	389	1	b(2x	ORG
ejpam-854	389	2	j m f̃	PERSON
ejpam-854	389	3	2mx	ORDINAL
ejpam-854	389	4	37	CARDINAL
ejpam-854	389	5	t. xu	PERSON
ejpam-854	389	6	j. rassias	PERSON
ejpam-854	389	7	w. xu	PERSON
ejpam-854	390	1	j. pure	PERSON
ejpam-854	390	2	3	CARDINAL
ejpam-854	390	3	2010	DATE
ejpam-854	390	4	1032-1047 1042	CARDINAL
ejpam-854	390	5	f̃	PRODUCT
ejpam-854	391	1	f̃	PRODUCT
ejpam-854	391	2	f̃	PRODUCT
ejpam-854	391	3	j f̃	PERSON
ejpam-854	392	1	27	CARDINAL
ejpam-854	393	1	2m+1 x	QUANTITY
ejpam-854	393	2	2m+1	CARDINAL
ejpam-854	393	3	16d	CARDINAL
ejpam-854	393	4	2mx	ORDINAL
ejpam-854	393	5	2	CARDINAL
ejpam-854	393	6	y)‖ ≤ lim	FAC
ejpam-854	393	7	17ǫ	DATE
ejpam-854	393	8	4	CARDINAL
ejpam-854	393	9	5	CARDINAL
ejpam-854	394	1	2.1	CARDINAL
ejpam-854	394	2	33	CARDINAL
ejpam-854	394	3	16b(x	CARDINAL
ejpam-854	395	1	b(2x	ORG
ejpam-854	396	1	2	CARDINAL
ejpam-854	396	2	5	CARDINAL
ejpam-854	398	1	k ∈ n	PERSON
ejpam-854	399	1	0	CARDINAL
ejpam-854	399	2	k∈n	GPE
ejpam-854	404	1	yk ∈ e.	PERSON
ejpam-854	404	2	x1)−q(x1	NORP
ejpam-854	406	1	2xk)− 4	CARDINAL
ejpam-854	407	1	e. proof	PERSON
ejpam-854	408	1	4	CARDINAL
ejpam-854	408	2	6	CARDINAL
ejpam-854	410	1	k ∈ n	PERSON
ejpam-854	411	1	k∈n	GPE
ejpam-854	414	1	38	CARDINAL
ejpam-854	416	1	yk ∈ e.	PERSON
ejpam-854	417	1	a(x1)− c(x1	PERSON
ejpam-854	418	1	+ 4	DATE
ejpam-854	418	2	21(n4− n2	QUANTITY
ejpam-854	418	3	39	CARDINAL
ejpam-854	419	1	e. proof	PERSON
ejpam-854	420	1	theorems 2 and	ORG
ejpam-854	420	2	3	CARDINAL
ejpam-854	422	1	2xk)− 8 f	QUANTITY
ejpam-854	423	1	t. xu	PERSON
ejpam-854	423	2	j. rassias	PERSON
ejpam-854	423	3	w. xu	PERSON
ejpam-854	424	1	j. pure	PERSON
ejpam-854	424	2	3	CARDINAL
ejpam-854	424	3	2010	DATE
ejpam-854	424	4	1032-1047 1043	CARDINAL
ejpam-854	426	1	2xk)− 2 f	QUANTITY
ejpam-854	426	2	+ 4	DATE
ejpam-854	426	3	41	CARDINAL
ejpam-854	428	1	40	CARDINAL
ejpam-854	428	2	41	CARDINAL
ejpam-854	429	1	6	CARDINAL
ejpam-854	429	2	7(n4−	CARDINAL
ejpam-854	431	1	39	CARDINAL
ejpam-854	431	2	a(x	PERSON
ejpam-854	431	3	c(x	ORG
ejpam-854	435	1	k ∈ n	PERSON
ejpam-854	436	1	0	CARDINAL
ejpam-854	436	2	k∈n	GPE
ejpam-854	439	1	42	CARDINAL
ejpam-854	441	1	yk ∈ e.	PERSON
ejpam-854	446	1	e. proof	PERSON
ejpam-854	447	1	theorems 4 and	ORG
ejpam-854	447	2	5	DATE
ejpam-854	449	1	2xk)− 16 f	QUANTITY
ejpam-854	449	2	44	CARDINAL
ejpam-854	451	1	2xk)− 4	CARDINAL
ejpam-854	451	2	45	CARDINAL
ejpam-854	452	1	44	CARDINAL
ejpam-854	452	2	45	CARDINAL
ejpam-854	455	1	12	CARDINAL
ejpam-854	455	2	5(n4− n2	QUANTITY
ejpam-854	457	1	q(x	PERSON
ejpam-854	458	1	q0(x)/12	PERSON
ejpam-854	460	1	t. xu	PERSON
ejpam-854	460	2	j. rassias	PERSON
ejpam-854	460	3	w. xu	PERSON
ejpam-854	461	1	j. pure	PERSON
ejpam-854	461	2	3	CARDINAL
ejpam-854	461	3	2010	DATE
ejpam-854	461	4	1032-1047 1044	CARDINAL
ejpam-854	461	5	8	CARDINAL
ejpam-854	463	1	k ∈ n	PERSON
ejpam-854	464	1	0	CARDINAL
ejpam-854	464	2	k∈n	GPE
ejpam-854	467	1	46	CARDINAL
ejpam-854	469	1	yk ∈ e.	PERSON
ejpam-854	473	1	47	CARDINAL
ejpam-854	475	1	e. proof	PERSON
ejpam-854	476	1	1 2	CARDINAL
ejpam-854	477	1	sup k∈n ‖(d fo(x1	ORG
ejpam-854	481	1	yk ∈ e.	PERSON
ejpam-854	481	2	6	CARDINAL
ejpam-854	482	1	a(x1)− c(x1	PERSON
ejpam-854	483	1	+ 4	DATE
ejpam-854	483	2	21(n4− n2	QUANTITY
ejpam-854	483	3	48	CARDINAL
ejpam-854	484	1	1 2	CARDINAL
ejpam-854	484	2	0	CARDINAL
ejpam-854	484	3	sup k∈n ‖(d	ORG
ejpam-854	488	1	yk ∈ e.	PERSON
ejpam-854	491	1	49	CARDINAL
ejpam-854	493	1	48	CARDINAL
ejpam-854	493	2	49	CARDINAL
ejpam-854	493	3	47	CARDINAL
ejpam-854	495	1	first	ORDINAL
ejpam-854	495	2	the national natural science foundation of china	ORG
ejpam-854	495	3	10671013	DATE
ejpam-854	495	4	60972089	DATE
ejpam-854	496	1	1045	CARDINAL
ejpam-854	496	2	1	CARDINAL
ejpam-854	496	3	j aczél	PERSON
ejpam-854	499	1	japonica	PERSON
ejpam-854	499	2	52	CARDINAL
ejpam-854	499	3	469-512	CARDINAL
ejpam-854	500	1	2	CARDINAL
ejpam-854	500	2	v radu	PERSON
ejpam-854	501	1	jensen	PERSON
ejpam-854	502	1	4(1	DATE
ejpam-854	502	2	pp7	GPE
ejpam-854	502	3	2003	DATE
ejpam-854	503	1	3	CARDINAL
ejpam-854	503	2	v radu	PERSON
ejpam-854	504	1	ecit’02	NORP
ejpam-854	504	2	346	CARDINAL
ejpam-854	504	3	mathematischen berichte	PERSON
ejpam-854	505	1	43-52	CARDINAL
ejpam-854	505	2	karl-franzens	PERSON
ejpam-854	505	3	graz	GPE
ejpam-854	505	4	graz	GPE
ejpam-854	505	5	austria	GPE
ejpam-854	505	6	2004	DATE
ejpam-854	506	1	4	CARDINAL
ejpam-854	508	1	hadronic press, inc.	ORG
ejpam-854	508	2	2003	DATE
ejpam-854	509	1	5	CARDINAL
ejpam-854	512	1	6	CARDINAL
ejpam-854	514	1	glasgow mathematical journal	ORG
ejpam-854	514	2	49	CARDINAL
ejpam-854	514	3	321	CARDINAL
ejpam-854	514	4	2007	DATE
ejpam-854	515	1	7	CARDINAL
ejpam-854	518	1	amer	PERSON
ejpam-854	519	1	74	CARDINAL
ejpam-854	519	2	305	CARDINAL
ejpam-854	519	3	1968	DATE
ejpam-854	520	1	8	CARDINAL
ejpam-854	520	2	s k gharetapeh	PERSON
ejpam-854	520	3	j m	PERSON
ejpam-854	521	1	2009	DATE
ejpam-854	521	2	1-17	CARDINAL
ejpam-854	521	3	2009	DATE
ejpam-854	522	1	9	CARDINAL
ejpam-854	525	1	24	CARDINAL
ejpam-854	525	2	2009	DATE
ejpam-854	526	1	10	CARDINAL
ejpam-854	527	1	normed	ORG
ejpam-854	528	1	2009	DATE
ejpam-854	528	2	pp9	PERSON
ejpam-854	528	3	2009	DATE
ejpam-854	529	1	11	CARDINAL
ejpam-854	531	1	184	CARDINAL
ejpam-854	531	2	431	CARDINAL
ejpam-854	531	3	1994	DATE
ejpam-854	532	1	12	CARDINAL
ejpam-854	535	1	430	CARDINAL
ejpam-854	536	1	465-469	QUANTITY
ejpam-854	536	2	kluwer	ORG
ejpam-854	536	3	dordrecht	ORG
ejpam-854	536	4	netherlands	GPE
ejpam-854	536	5	1998	DATE
ejpam-854	537	1	13	CARDINAL
ejpam-854	538	1	john m. rassias	PERSON
ejpam-854	538	2	hadronic mathematics series	PRODUCT
ejpam-854	539	1	67	CARDINAL
ejpam-854	540	1	14	CARDINAL
ejpam-854	541	1	g. isac	PERSON
ejpam-854	541	2	m. rassias	PERSON
ejpam-854	542	1	261	CARDINAL
ejpam-854	542	2	543	CARDINAL
ejpam-854	542	3	2001	DATE
ejpam-854	543	1	1046	CARDINAL
ejpam-854	544	1	15	CARDINAL
ejpam-854	546	1	9	CARDINAL
ejpam-854	546	2	415	CARDINAL
ejpam-854	546	3	2004	DATE
ejpam-854	547	1	16	CARDINAL
ejpam-854	548	1	john m. rassias	PERSON
ejpam-854	548	2	euler-lagrange	ORG
ejpam-854	549	1	47	CARDINAL
ejpam-854	549	2	nova	NORP
ejpam-854	549	3	2010	DATE
ejpam-854	550	1	17	CARDINAL
ejpam-854	553	1	nat	PERSON
ejpam-854	554	1	acad	ORG
ejpam-854	555	1	sci. usa	ORG
ejpam-854	555	2	27	CARDINAL
ejpam-854	555	3	222	CARDINAL
ejpam-854	556	1	18	CARDINAL
ejpam-854	558	1	19	CARDINAL
ejpam-854	558	2	219228, 1996	DATE
ejpam-854	559	1	19	CARDINAL
ejpam-854	561	1	hadronic press.	ORG
ejpam-854	562	1	inc.	ORG
ejpam-854	562	2	florida	GPE
ejpam-854	562	3	2000	DATE
ejpam-854	563	1	20	CARDINAL
ejpam-854	563	2	v radu	PERSON
ejpam-854	564	1	normed	ORG
ejpam-854	565	1	343	CARDINAL
ejpam-854	565	2	567572, 2008	DATE
ejpam-854	566	1	21	CARDINAL
ejpam-854	566	2	k nikodem	PERSON
ejpam-854	568	1	355	CARDINAL
ejpam-854	568	2	717	CARDINAL
ejpam-854	568	3	2009	DATE
ejpam-854	569	1	22	CARDINAL
ejpam-854	569	2	algebras	ORG
ejpam-854	570	1	oxford journal	ORG
ejpam-854	570	2	24	CARDINAL
ejpam-854	570	3	417-427	CARDINAL
ejpam-854	571	1	23	CARDINAL
ejpam-854	571	2	srivastava	PERSON
ejpam-854	572	1	jensen	PERSON
ejpam-854	573	1	taiwanese	NORP
ejpam-854	573	2	14	CARDINAL
ejpam-854	573	3	453	CARDINAL
ejpam-854	573	4	2010	DATE
ejpam-854	574	1	24	CARDINAL
ejpam-854	576	1	j. math	PERSON
ejpam-854	577	1	1	CARDINAL
ejpam-854	577	2	56-65, 2007	DATE
ejpam-854	578	1	25	CARDINAL
ejpam-854	579	1	normed	ORG
ejpam-854	580	1	2010	DATE
ejpam-854	580	2	15, 2010	DATE
ejpam-854	581	1	26	CARDINAL
ejpam-854	581	2	j m	PERSON
ejpam-854	582	1	jensen	PERSON
ejpam-854	582	2	c∗-algebras	ORG
ejpam-854	583	1	2009	DATE
ejpam-854	583	2	pp17	PRODUCT
ejpam-854	583	3	2009	DATE
ejpam-854	584	1	27	CARDINAL
ejpam-854	585	1	cluj-napoca	ORG
ejpam-854	585	2	4, 2003	DATE
ejpam-854	586	1	28	CARDINAL
ejpam-854	589	1	amer	PERSON
ejpam-854	590	1	72	CARDINAL
ejpam-854	590	2	297-300	CARDINAL
ejpam-854	591	1	29	CARDINAL
ejpam-854	593	1	glasnik mathematicki	PERSON
ejpam-854	593	2	36	CARDINAL
ejpam-854	593	3	63-72, 2001	DATE
ejpam-854	594	1	1047	CARDINAL
ejpam-854	594	2	30	CARDINAL
ejpam-854	596	1	j. approx	PERSON
ejpam-854	597	1	57	CARDINAL
ejpam-854	597	2	268	CARDINAL
ejpam-854	597	3	1989	DATE
ejpam-854	598	1	31	CARDINAL
ejpam-854	600	1	glasnik matematicki	PERSON
ejpam-854	600	2	34	CARDINAL
ejpam-854	600	3	243	CARDINAL
ejpam-854	600	4	1999	DATE
ejpam-854	601	1	32	CARDINAL
ejpam-854	602	1	linear	ORG
ejpam-854	603	1	j. funct	PERSON
ejpam-854	604	1	46	CARDINAL
ejpam-854	604	2	126-130	CARDINAL
ejpam-854	605	1	33	CARDINAL
ejpam-854	605	2	j m	PERSON
ejpam-854	605	3	arunkumar	PERSON
ejpam-854	607	1	114	CARDINAL
ejpam-854	607	2	2009	DATE
ejpam-854	608	1	34	CARDINAL
ejpam-854	610	1	j. comput	PERSON
ejpam-854	610	2	28	CARDINAL
ejpam-854	610	3	19721997, 1999	DATE
ejpam-854	611	1	35	CARDINAL
ejpam-854	612	1	new york	GPE
ejpam-854	612	2	1960	DATE
ejpam-854	613	1	36	CARDINAL
ejpam-854	613	2	l wang	PERSON
ejpam-854	613	3	b liu	PERSON
ejpam-854	615	1	2010	DATE
ejpam-854	616	1	pp9	PERSON
ejpam-854	616	2	2010	DATE
ejpam-854	617	1	37	CARDINAL
ejpam-854	617	2	j m	PERSON
ejpam-854	617	3	w x xu	PERSON
ejpam-854	618	1	non-archimedean	NORP
ejpam-854	618	2	normed spaces	ORG
ejpam-854	619	1	journal of mathematical physics	ORG
ejpam-854	619	2	51	CARDINAL
ejpam-854	620	1	pp19	ORG
ejpam-854	620	2	2010	DATE
ejpam-854	621	1	38	CARDINAL
ejpam-854	621	2	j m	PERSON
ejpam-854	621	3	w x xu	PERSON
ejpam-854	622	1	normed	ORG
ejpam-854	624	1	39	CARDINAL
ejpam-854	624	2	j m	PERSON
ejpam-854	626	1	51	CARDINAL
ejpam-854	626	2	pp21	PRODUCT
ejpam-854	626	3	2010	DATE
ejpam-854	627	1	40	CARDINAL
ejpam-854	627	2	j m	PERSON
ejpam-854	627	3	w x xu	PERSON
ejpam-854	629	1	malaysian	NORP
ejpam-854	630	1	41	CARDINAL
ejpam-854	630	2	j m	PERSON
ejpam-854	630	3	w x xu	PERSON
ejpam-854	631	1	normed	ORG
ejpam-854	632	1	2010	DATE
ejpam-854	633	1	pp16	ORG
ejpam-854	633	2	2010	DATE
ejpam-854	634	1	42	CARDINAL
ejpam-854	634	2	j m	PERSON
ejpam-854	634	3	w x xu	PERSON
ejpam-854	635	1	non-archimedean	NORP
ejpam-854	635	2	normed	ORG
ejpam-854	636	1	2010	DATE
ejpam-854	637	1	pp24	PRODUCT
ejpam-854	637	2	2010	DATE
