id sid tid token lemma pos ejpam-1244 1 1 0_xxx_geetaerratum.dvi 0_xxx_geetaerratum.dvi PROPN ejpam-1244 1 2 european european PROPN ejpam-1244 1 3 journal journal PROPN ejpam-1244 1 4 of of ADP ejpam-1244 1 5 pure pure ADJ ejpam-1244 1 6 and and CCONJ ejpam-1244 1 7 applied apply VERB ejpam-1244 1 8 mathematics mathematic NOUN ejpam-1244 1 9 vol vol NOUN ejpam-1244 1 10 . . PROPN ejpam-1244 1 11 4 4 NUM ejpam-1244 1 12 , , PUNCT ejpam-1244 1 13 no no INTJ ejpam-1244 1 14 . . NOUN ejpam-1244 1 15 3 3 NUM ejpam-1244 1 16 , , PUNCT ejpam-1244 1 17 2011 2011 NUM ejpam-1244 1 18 , , PUNCT ejpam-1244 1 19 209 209 NUM ejpam-1244 1 20 - - SYM ejpam-1244 1 21 209 209 NUM ejpam-1244 1 22 issn issn PROPN ejpam-1244 1 23 1307 1307 NUM ejpam-1244 1 24 - - SYM ejpam-1244 1 25 5543 5543 NUM ejpam-1244 1 26 – – PUNCT ejpam-1244 1 27 www.ejpam.com www.ejpam.com X ejpam-1244 1 28 erratum erratum PROPN ejpam-1244 1 29 to to ADP ejpam-1244 1 30 “ " PUNCT ejpam-1244 1 31 optimality optimality NOUN ejpam-1244 1 32 and and CCONJ ejpam-1244 1 33 duality duality NOUN ejpam-1244 1 34 for for ADP ejpam-1244 1 35 second second ADJ ejpam-1244 1 36 - - PUNCT ejpam-1244 1 37 order order NOUN ejpam-1244 1 38 multiobjective multiobjective ADJ ejpam-1244 1 39 variational variational ADJ ejpam-1244 1 40 problems problem NOUN ejpam-1244 1 41 ” " PUNCT ejpam-1244 2 1 [ [ X ejpam-1244 2 2 1 1 X ejpam-1244 2 3 ] ] PUNCT ejpam-1244 2 4 t. t. PROPN ejpam-1244 2 5 r. r. PROPN ejpam-1244 2 6 gulati gulati PROPN ejpam-1244 2 7 and and CCONJ ejpam-1244 2 8 geeta geeta PROPN ejpam-1244 2 9 mehndiratta∗ mehndiratta∗ PROPN ejpam-1244 2 10 department department PROPN ejpam-1244 2 11 of of ADP ejpam-1244 2 12 mathematics mathematics PROPN ejpam-1244 2 13 , , PUNCT ejpam-1244 2 14 indian indian PROPN ejpam-1244 2 15 institute institute PROPN ejpam-1244 2 16 of of ADP ejpam-1244 2 17 technology technology PROPN ejpam-1244 2 18 roorkee roorkee NOUN ejpam-1244 2 19 , , PUNCT ejpam-1244 2 20 roorkee-247 roorkee-247 NOUN ejpam-1244 2 21 667 667 NUM ejpam-1244 2 22 , , PUNCT ejpam-1244 2 23 india india PROPN ejpam-1244 2 24 in in ADP ejpam-1244 2 25 the the DET ejpam-1244 2 26 proof proof NOUN ejpam-1244 2 27 of of ADP ejpam-1244 2 28 theorem theorem NOUN ejpam-1244 2 29 3 3 NUM ejpam-1244 2 30 on on ADP ejpam-1244 2 31 page page NOUN ejpam-1244 2 32 794 794 NUM ejpam-1244 3 1 [ [ X ejpam-1244 3 2 1 1 NUM ejpam-1244 3 3 ] ] PUNCT ejpam-1244 3 4 , , PUNCT ejpam-1244 3 5 the the DET ejpam-1244 3 6 system system NOUN ejpam-1244 3 7 gx(t gx(t NOUN ejpam-1244 3 8 , , PUNCT ejpam-1244 3 9 x̄ x̄ NOUN ejpam-1244 3 10 , , PUNCT ejpam-1244 3 11 ˙̄x ˙̄x PRON ejpam-1244 3 12 ) ) PUNCT ejpam-1244 4 1 ȳ(t)− ȳ(t)− PROPN ejpam-1244 4 2 d(g d(g PROPN ejpam-1244 4 3 ẋ(t ẋ(t PROPN ejpam-1244 4 4 , , PUNCT ejpam-1244 4 5 x̄ x̄ NOUN ejpam-1244 4 6 , , PUNCT ejpam-1244 4 7 ˙̄x ˙̄x NOUN ejpam-1244 4 8 ) ) PUNCT ejpam-1244 4 9 ȳ(t ȳ(t NOUN ejpam-1244 4 10 ) ) PUNCT ejpam-1244 4 11 ) ) PUNCT ejpam-1244 5 1 = = PUNCT ejpam-1244 5 2 0 0 NUM ejpam-1244 5 3 , , PUNCT ejpam-1244 5 4 t t PROPN ejpam-1244 5 5 ∈ ∈ PROPN ejpam-1244 6 1 i i PRON ejpam-1244 6 2 , , PUNCT ejpam-1244 6 3 ȳ(t)t ȳ(t)t PROPN ejpam-1244 6 4 g(t g(t PROPN ejpam-1244 6 5 , , PUNCT ejpam-1244 6 6 x̄ x̄ NOUN ejpam-1244 6 7 , , PUNCT ejpam-1244 6 8 ˙̄x ˙̄x PRON ejpam-1244 6 9 ) ) PUNCT ejpam-1244 6 10 = = SYM ejpam-1244 6 11 0 0 NUM ejpam-1244 6 12 , , PUNCT ejpam-1244 6 13 t t PROPN ejpam-1244 6 14 ∈ ∈ PROPN ejpam-1244 7 1 i i PRON ejpam-1244 7 2 , , PUNCT ejpam-1244 7 3 ( ( PUNCT ejpam-1244 7 4 λ̄1 λ̄1 X ejpam-1244 7 5 , , PUNCT ejpam-1244 7 6 λ̄2 λ̄2 X ejpam-1244 7 7 , , PUNCT ejpam-1244 7 8 . . PUNCT ejpam-1244 7 9 . . PUNCT ejpam-1244 7 10 . . PUNCT ejpam-1244 8 1 , , PUNCT ejpam-1244 8 2 λ̄k λ̄k PROPN ejpam-1244 8 3 , , PUNCT ejpam-1244 8 4 ȳ(t ȳ(t PROPN ejpam-1244 8 5 ) ) PUNCT ejpam-1244 8 6 ) ) PUNCT ejpam-1244 8 7 ≥ ≥ NOUN ejpam-1244 8 8 0 0 NUM ejpam-1244 8 9 , , PUNCT ejpam-1244 8 10 t t PROPN ejpam-1244 8 11 ∈ ∈ PROPN ejpam-1244 9 1 i i PRON ejpam-1244 9 2 , , PUNCT ejpam-1244 9 3 has have AUX ejpam-1244 9 4 been be AUX ejpam-1244 9 5 printed print VERB ejpam-1244 9 6 instead instead ADV ejpam-1244 9 7 of of ADP ejpam-1244 9 8 λ̄ λ̄ PRON ejpam-1244 9 9 1 1 NUM ejpam-1244 9 10 ( ( PUNCT ejpam-1244 9 11 f f PROPN ejpam-1244 9 12 1 1 NUM ejpam-1244 9 13 x x SYM ejpam-1244 9 14 ( ( PUNCT ejpam-1244 9 15 t t PROPN ejpam-1244 9 16 , , PUNCT ejpam-1244 9 17 x̄ x̄ NOUN ejpam-1244 9 18 , , PUNCT ejpam-1244 9 19 ˙̄x)− ˙̄x)− PROPN ejpam-1244 9 20 d d X ejpam-1244 9 21 f f PROPN ejpam-1244 9 22 1 1 NUM ejpam-1244 9 23 ẋ ẋ PROPN ejpam-1244 9 24 ( ( PUNCT ejpam-1244 9 25 t t PROPN ejpam-1244 9 26 , , PUNCT ejpam-1244 9 27 x̄ x̄ NOUN ejpam-1244 9 28 , , PUNCT ejpam-1244 9 29 ˙̄x ˙̄x NOUN ejpam-1244 9 30 ) ) PUNCT ejpam-1244 9 31 ) ) PUNCT ejpam-1244 10 1 + + CCONJ ejpam-1244 10 2 k∑ k∑ ADJ ejpam-1244 10 3 i=2 i=2 PROPN ejpam-1244 10 4 λ̄ λ̄ ADP ejpam-1244 11 1 i i PRON ejpam-1244 11 2 ( ( PUNCT ejpam-1244 11 3 f f NOUN ejpam-1244 11 4 i i PRON ejpam-1244 11 5 x x X ejpam-1244 11 6 ( ( PUNCT ejpam-1244 11 7 t t PROPN ejpam-1244 11 8 , , PUNCT ejpam-1244 11 9 x̄ x̄ NOUN ejpam-1244 11 10 , , PUNCT ejpam-1244 11 11 ˙̄x)− ˙̄x)− PROPN ejpam-1244 12 1 d d X ejpam-1244 12 2 f f X ejpam-1244 13 1 i i PRON ejpam-1244 13 2 ẋ ẋ PROPN ejpam-1244 14 1 ( ( PUNCT ejpam-1244 14 2 t t PROPN ejpam-1244 14 3 , , PUNCT ejpam-1244 14 4 x̄ x̄ NOUN ejpam-1244 14 5 , , PUNCT ejpam-1244 14 6 ˙̄x ˙̄x NOUN ejpam-1244 14 7 ) ) PUNCT ejpam-1244 14 8 ) ) PUNCT ejpam-1244 15 1 + + VERB ejpam-1244 15 2 gx(t gx(t NOUN ejpam-1244 15 3 , , PUNCT ejpam-1244 15 4 x̄ x̄ NOUN ejpam-1244 15 5 , , PUNCT ejpam-1244 15 6 ˙̄x ˙̄x PRON ejpam-1244 15 7 ) ) PUNCT ejpam-1244 15 8 ȳ(t)− ȳ(t)− PROPN ejpam-1244 15 9 d(g d(g PROPN ejpam-1244 15 10 ẋ(t ẋ(t PROPN ejpam-1244 15 11 , , PUNCT ejpam-1244 15 12 x̄ x̄ NOUN ejpam-1244 15 13 , , PUNCT ejpam-1244 15 14 ˙̄x ˙̄x NOUN ejpam-1244 15 15 ) ) PUNCT ejpam-1244 15 16 ȳ(t ȳ(t NOUN ejpam-1244 15 17 ) ) PUNCT ejpam-1244 15 18 ) ) PUNCT ejpam-1244 15 19 = = PUNCT ejpam-1244 15 20 0 0 NUM ejpam-1244 15 21 , , PUNCT ejpam-1244 15 22 t t PROPN ejpam-1244 15 23 ∈ ∈ PROPN ejpam-1244 16 1 i i PRON ejpam-1244 16 2 , , PUNCT ejpam-1244 16 3 ȳ(t)t ȳ(t)t PROPN ejpam-1244 16 4 g(t g(t PROPN ejpam-1244 16 5 , , PUNCT ejpam-1244 16 6 x̄ x̄ NOUN ejpam-1244 16 7 , , PUNCT ejpam-1244 16 8 ˙̄x ˙̄x PRON ejpam-1244 16 9 ) ) PUNCT ejpam-1244 16 10 = = SYM ejpam-1244 16 11 0 0 NUM ejpam-1244 16 12 , , PUNCT ejpam-1244 16 13 t t PROPN ejpam-1244 16 14 ∈ ∈ PROPN ejpam-1244 17 1 i i PRON ejpam-1244 17 2 , , PUNCT ejpam-1244 17 3 ( ( PUNCT ejpam-1244 17 4 λ̄1 λ̄1 X ejpam-1244 17 5 , , PUNCT ejpam-1244 17 6 λ̄2 λ̄2 X ejpam-1244 17 7 , , PUNCT ejpam-1244 17 8 . . PUNCT ejpam-1244 17 9 . . PUNCT ejpam-1244 17 10 . . PUNCT ejpam-1244 18 1 , , PUNCT ejpam-1244 18 2 λ̄k λ̄k PROPN ejpam-1244 18 3 , , PUNCT ejpam-1244 18 4 ȳ(t ȳ(t PROPN ejpam-1244 18 5 ) ) PUNCT ejpam-1244 18 6 ) ) PUNCT ejpam-1244 18 7 ≥ ≥ NOUN ejpam-1244 18 8 0 0 NUM ejpam-1244 18 9 , , PUNCT ejpam-1244 18 10 t t PROPN ejpam-1244 18 11 ∈ ∈ PROPN ejpam-1244 19 1 i i PRON ejpam-1244 19 2 , , PUNCT ejpam-1244 19 3 references reference NOUN ejpam-1244 19 4 [ [ X ejpam-1244 19 5 1 1 NUM ejpam-1244 19 6 ] ] PUNCT ejpam-1244 19 7 t t PROPN ejpam-1244 19 8 gulati gulati PROPN ejpam-1244 19 9 and and CCONJ ejpam-1244 19 10 g g PROPN ejpam-1244 19 11 mehndiratta mehndiratta PROPN ejpam-1244 19 12 . . PUNCT ejpam-1244 20 1 optimality optimality NOUN ejpam-1244 20 2 and and CCONJ ejpam-1244 20 3 duality duality NOUN ejpam-1244 20 4 for for ADP ejpam-1244 20 5 second second ADJ ejpam-1244 20 6 - - PUNCT ejpam-1244 20 7 order order NOUN ejpam-1244 20 8 multiobjective multiobjective ADJ ejpam-1244 20 9 variational variational ADJ ejpam-1244 20 10 problems problem NOUN ejpam-1244 20 11 . . PUNCT ejpam-1244 21 1 european european ADJ ejpam-1244 21 2 journal journal PROPN ejpam-1244 21 3 of of ADP ejpam-1244 21 4 pure pure ADJ ejpam-1244 21 5 and and CCONJ ejpam-1244 21 6 applied applied ADJ ejpam-1244 21 7 mathematics mathematic NOUN ejpam-1244 21 8 , , PUNCT ejpam-1244 21 9 3(5 3(5 NUM ejpam-1244 21 10 ): ): PUNCT ejpam-1244 21 11 786 786 NUM ejpam-1244 21 12 - - SYM ejpam-1244 21 13 805 805 NUM ejpam-1244 21 14 . . PUNCT ejpam-1244 22 1 2010 2010 NUM ejpam-1244 22 2 . . PUNCT ejpam-1244 23 1 ∗corresponding ∗corresponde VERB ejpam-1244 23 2 author author NOUN ejpam-1244 23 3 . . PUNCT ejpam-1244 24 1 email email NOUN ejpam-1244 24 2 addresses address NOUN ejpam-1244 24 3 : : PUNCT ejpam-1244 24 4 trgulati trgulati NUM ejpam-1244 24 5 � � NOUN ejpam-1244 24 6 gmail gmail NOUN ejpam-1244 24 7 . . PUNCT ejpam-1244 25 1 om om PROPN ejpam-1244 25 2 ( ( PUNCT ejpam-1244 25 3 t. t. PROPN ejpam-1244 25 4 gulati gulati PROPN ejpam-1244 25 5 ) ) PUNCT ejpam-1244 25 6 , , PUNCT ejpam-1244 25 7 geeta.mehndiratta geeta.mehndiratta PROPN ejpam-1244 25 8 � � PROPN ejpam-1244 25 9 rediffmail rediffmail NOUN ejpam-1244 25 10 . . PUNCT ejpam-1244 26 1 om om PROPN ejpam-1244 26 2 ( ( PUNCT ejpam-1244 26 3 g. g. PROPN ejpam-1244 26 4 mehndiratta mehndiratta PROPN ejpam-1244 26 5 ) ) PUNCT ejpam-1244 26 6 http://www.ejpam.com http://www.ejpam.com X ejpam-1244 27 1 209 209 NUM ejpam-1244 27 2 c c X ejpam-1244 27 3 © © PROPN ejpam-1244 27 4 2011 2011 NUM ejpam-1244 27 5 ejpam ejpam VERB ejpam-1244 27 6 all all DET ejpam-1244 27 7 rights right NOUN ejpam-1244 27 8 reserved reserve VERB ejpam-1244 27 9 . . PUNCT