id sid eid entity type iajs-2923 1 1 ihjpas PERSON iajs-2923 2 1 36(1)2023 292 CARDINAL iajs-2923 2 2 4.0 CARDINAL iajs-2923 2 3 one CARDINAL iajs-2923 2 4 two CARDINAL iajs-2923 4 1 three CARDINAL iajs-2923 4 2 two CARDINAL iajs-2923 4 3 zero CARDINAL iajs-2923 5 1 suzuki generalized ORG iajs-2923 9 1 1-9 CARDINAL iajs-2923 12 1 one CARDINAL iajs-2923 12 2 two CARDINAL iajs-2923 13 1 1967[10 CARDINAL iajs-2923 13 2 jungck picard algorithm ORG iajs-2923 13 3 one CARDINAL iajs-2923 13 4 29 CARDINAL iajs-2923 13 5 2022 CARDINAL iajs-2923 13 6 21 CARDINAL iajs-2923 13 7 2022 CARDINAL iajs-2923 13 8 january 2023 DATE iajs-2923 14 1 ibn al-haitham PERSON iajs-2923 14 2 applied sciences journal ORG iajs-2923 14 3 jih.uobaghdad.edu.iq zena hussein maibed department PERSON iajs-2923 14 4 ibn al PERSON iajs-2923 15 1 noor nabil PERSON iajs-2923 15 2 ibn al PERSON iajs-2923 18 1 36(1)2023 293 CARDINAL iajs-2923 18 2 2011[11 CARDINAL iajs-2923 18 3 alfred olufemi bosede PERSON iajs-2923 21 1 1 CARDINAL iajs-2923 21 2 𝑇𝑛𝑛 ORG iajs-2923 21 3 ∈ ORG iajs-2923 21 4 ∈ ORG iajs-2923 22 1 2004[12 CARDINAL iajs-2923 23 1 2008 DATE iajs-2923 23 2 13 CARDINAL iajs-2923 23 3 two CARDINAL iajs-2923 24 1 1 CARDINAL iajs-2923 24 2 𝑇𝓇𝑛 PERSON iajs-2923 24 3 1 CARDINAL iajs-2923 25 1 𝑇𝓏𝑛 PERSON iajs-2923 25 2 ∈ ORG iajs-2923 27 1 1.1):[12 CARDINAL iajs-2923 27 2 𝓂𝑛}𝑛=0 CARDINAL iajs-2923 27 3 two CARDINAL iajs-2923 27 4 𝓂𝑛}𝑛=0 CARDINAL iajs-2923 27 5 1 CARDINAL iajs-2923 28 1 0 ⟢ CARDINAL iajs-2923 28 2 𝓂𝑛}𝑛=0 CARDINAL iajs-2923 28 3 𝓃. 2 DATE iajs-2923 29 1 𝓂𝑛}𝑛=0 CARDINAL iajs-2923 30 1 lemma ORG iajs-2923 30 2 1.2):[14 CARDINAL iajs-2923 30 3 𝓂𝑛}𝑛=0 CARDINAL iajs-2923 31 1 1 CARDINAL iajs-2923 31 2 all 𝑛 β‰₯ 1 DATE iajs-2923 32 1 𝓂𝑛}𝑛=0 CARDINAL iajs-2923 32 2 two CARDINAL iajs-2923 33 1 lim PERSON iajs-2923 33 2 1 CARDINAL iajs-2923 34 1 lim PERSON iajs-2923 34 2 0 CARDINAL iajs-2923 34 3 1.3 CARDINAL iajs-2923 34 4 15 CARDINAL iajs-2923 34 5 𝑇(𝐢 NORP iajs-2923 34 6 0 CARDINAL iajs-2923 34 7 𝑓(𝑇 GPE iajs-2923 34 8 0 CARDINAL iajs-2923 34 9 1 DATE iajs-2923 36 1 lim PERSON iajs-2923 36 2 0 CARDINAL iajs-2923 36 3 lim PERSON iajs-2923 36 4 Οˆπ“Žπ‘› ORG iajs-2923 36 5 𝑝. lemma PERSON iajs-2923 36 6 1.4 CARDINAL iajs-2923 36 7 12 CARDINAL iajs-2923 36 8 lim PERSON iajs-2923 36 9 0 CARDINAL iajs-2923 37 1 𝓂𝑛}𝑛=0 CARDINAL iajs-2923 37 2 1.5 CARDINAL iajs-2923 37 3 16 CARDINAL iajs-2923 37 4 1 2 CARDINAL iajs-2923 39 1 𝓃‖ ORG iajs-2923 39 2 βˆ€π“‚ DATE iajs-2923 39 3 2 CARDINAL iajs-2923 39 4 zn-suzuki ORG iajs-2923 40 1 2.1 CARDINAL iajs-2923 40 2 𝒳. PRODUCT iajs-2923 40 3 𝒫𝒸 ORG iajs-2923 40 4 zn-suzuki ORG iajs-2923 40 5 1 2 β€–π‘₯ βˆ’ QUANTITY iajs-2923 42 1 1+π‘šπ‘Žπ‘₯ CARDINAL iajs-2923 43 1 ihjpas PERSON iajs-2923 44 1 36(1)2023 294 CARDINAL iajs-2923 44 2 2.2 CARDINAL iajs-2923 44 3 2.3 CARDINAL iajs-2923 44 4 1 CARDINAL iajs-2923 45 1 ∈ ORG iajs-2923 45 2 𝒫𝒸 ORG iajs-2923 45 3 ∈ ORG iajs-2923 46 1 2.4 DATE iajs-2923 46 2 βˆ’ 𝛼𝑛)Οˆπ‘’π‘› + 𝛼𝑛𝒫𝒸(𝑒𝑛 EVENT iajs-2923 49 1 ∈ 𝐢 & ψ ORG iajs-2923 49 2 2.5 CARDINAL iajs-2923 49 3 1 CARDINAL iajs-2923 50 1 𝛼𝑛𝒫𝒸𝑇𝓇𝑛 GPE iajs-2923 50 2 1 CARDINAL iajs-2923 51 1 Οˆπ’«π’Έ(𝓍𝑛 ORG iajs-2923 53 1 2.6 CARDINAL iajs-2923 53 2 zn-suzuki ORG iajs-2923 53 3 1 CARDINAL iajs-2923 54 1 lim π‘›β†’βˆž β€–Οˆπ‘’π‘› βˆ’ 𝑝‖ PERSON iajs-2923 54 2 π’žβ„±(𝒫𝒸 NORP iajs-2923 54 3 π’žβ„±(𝒫𝒸 NORP iajs-2923 55 1 2 CARDINAL iajs-2923 56 1 π’žβ„±(𝒫𝒸 NORP iajs-2923 56 2 βˆ’ 𝑝‖ PERSON iajs-2923 57 1 βˆ’ 𝛼𝑛)Οˆπ‘’π‘› + 𝛼𝑛𝒫𝒸(𝑒𝑛 EVENT iajs-2923 59 1 1+max{‖𝒫𝒸(𝑝)βˆ’π’«π’Έ((1βˆ’π›Όπ‘›)Οˆπ‘’π‘›+𝛼𝑛𝒫𝒸(𝑒𝑛))β€–,β€–Οˆπ‘βˆ’Οˆ((1βˆ’π›Όπ‘›)Οˆπ‘’π‘›+𝛼𝑛𝒫𝒸(𝑒𝑛))β€– CARDINAL iajs-2923 60 1 1 CARDINAL iajs-2923 62 1 1 βˆ’ 𝛼𝑛)β€–Οˆπ‘’π‘› QUANTITY iajs-2923 62 2 + π›Όπ‘›β€–π’«π’ΈΟˆ(𝑒𝑛 PERCENT iajs-2923 63 1 2.1 CARDINAL iajs-2923 63 2 2.2 CARDINAL iajs-2923 63 3 2.1 CARDINAL iajs-2923 63 4 2.2 CARDINAL iajs-2923 63 5 lim PERSON iajs-2923 63 6 0 CARDINAL iajs-2923 63 7 lim π‘›β†’βˆž β€–Οˆπ‘’π‘› βˆ’ 𝑝‖ PERSON iajs-2923 64 1 36(1)2023 CARDINAL iajs-2923 64 2 ⟹ lim π‘›β†’βˆž π‘ π‘’π‘β€–Οˆπ‘’π‘› βˆ’ 𝑝‖ PERSON iajs-2923 64 3 lim PERSON iajs-2923 65 1 lim PERSON iajs-2923 65 2 2.3 CARDINAL iajs-2923 65 3 lim PERSON iajs-2923 65 4 2.4 CARDINAL iajs-2923 65 5 βˆ’ 𝛼𝑛)Οˆπ‘’π‘› + 𝛼𝑛𝒫𝒸(𝑒𝑛 EVENT iajs-2923 66 1 2.5 CARDINAL iajs-2923 66 2 𝑠𝑒𝑝[(1 βˆ’ 𝛼𝑛)β€–Οˆπ‘’π‘› βˆ’ 𝑝‖ PERSON iajs-2923 66 3 + π›Όπ‘›β€–π’«π’ΈΟˆ(𝑒𝑛 PERCENT iajs-2923 67 1 𝑠𝑒𝑝[(1 βˆ’ 𝛼𝑛)β€–Οˆπ‘’π‘› βˆ’ PERSON iajs-2923 67 2 lim PERSON iajs-2923 68 1 2.3 CARDINAL iajs-2923 68 2 2.4 CARDINAL iajs-2923 68 3 2.5 CARDINAL iajs-2923 68 4 1.2 CARDINAL iajs-2923 69 1 0 CARDINAL iajs-2923 70 1 2.7 CARDINAL iajs-2923 70 2 zn-suzuki ORG iajs-2923 70 3 lim PERSON iajs-2923 70 4 π’žβ„±(𝒫𝒸 NORP iajs-2923 70 5 π’žβ„±(𝒫𝒸 NORP iajs-2923 71 1 1+π‘šπ‘Žπ‘₯{‖𝒫𝒸(𝑝)βˆ’π’«π’Έ(π‘˜π‘›)β€–,β€–Οˆπ‘βˆ’Οˆπ‘˜π‘›β€– CARDINAL iajs-2923 71 2 2.7 CARDINAL iajs-2923 71 3 2.6 CARDINAL iajs-2923 71 4 2.7 CARDINAL iajs-2923 72 1 2.8 CARDINAL iajs-2923 72 2 zn-suzuki ORG iajs-2923 73 1 36(1)2023 296 1 CARDINAL iajs-2923 74 1 lim PERSON iajs-2923 74 2 π’žβ„±(𝒫𝒸 NORP iajs-2923 74 3 2 CARDINAL iajs-2923 75 1 lim π‘›β†’βˆž β€–Οˆπ’«π’Έ(𝑛𝑛 PERSON iajs-2923 76 1 2.6 CARDINAL iajs-2923 77 1 2.9 CARDINAL iajs-2923 77 2 zn-suzuki ORG iajs-2923 77 3 1 CARDINAL iajs-2923 78 1 lim PERSON iajs-2923 78 2 π’žβ„±(𝒫𝒸 NORP iajs-2923 78 3 2 CARDINAL iajs-2923 79 1 lim π‘›β†’βˆž β€–Οˆπ’«π’Έ(𝓇𝑛 PERSON iajs-2923 79 2 2.6 CARDINAL iajs-2923 79 3 2.10 CARDINAL iajs-2923 79 4 zn-suzuki ORG iajs-2923 80 1 ∈ ORG iajs-2923 82 1 βˆ’ 𝑓(𝑇 PERSON iajs-2923 82 2 1 CARDINAL iajs-2923 83 1 1 CARDINAL iajs-2923 84 1 lim PERSON iajs-2923 84 2 lim PERSON iajs-2923 85 1 2.11 CARDINAL iajs-2923 85 2 zn-suzuki ORG iajs-2923 87 1 βˆ’ 𝑓(𝑇 PERSON iajs-2923 87 2 lim PERSON iajs-2923 87 3 lim PERSON iajs-2923 88 1 2.12 CARDINAL iajs-2923 88 2 zn-suzuki ORG iajs-2923 91 1 2.13 CARDINAL iajs-2923 91 2 zn-suzuki ORG iajs-2923 94 1 2.9 CARDINAL iajs-2923 95 1 ihjpas PERSON iajs-2923 96 1 36(1)2023 297 CARDINAL iajs-2923 96 2 2.14 CARDINAL iajs-2923 96 3 zn-suzuki ORG iajs-2923 96 4 π’žβ„±(𝒫𝒸 NORP iajs-2923 96 5 β‰  πœ™. PERSON iajs-2923 97 1 β€–Οˆπ‘˜π‘›+1 βˆ’ 𝑝‖ PRODUCT iajs-2923 97 2 1+π‘šπ‘Žπ‘₯{‖𝒫𝒸(𝑝)βˆ’π’«π’Έ(π‘˜π‘›)β€–,β€–Οˆπ‘βˆ’Οˆπ‘˜π‘›β€– CARDINAL iajs-2923 97 3 βˆ’ 𝑝‖ PERSON iajs-2923 99 1 βˆ’ 𝛿)Οˆπ’«π’Έ(𝑛𝑛 GPE iajs-2923 100 1 1 CARDINAL iajs-2923 100 2 1 CARDINAL iajs-2923 100 3 1 CARDINAL iajs-2923 100 4 1 CARDINAL iajs-2923 101 1 1 CARDINAL iajs-2923 101 2 𝒫. π’₯. 𝒦. π’œ PERSON iajs-2923 102 1 1 CARDINAL iajs-2923 102 2 βˆ’ 𝑝‖ PERSON iajs-2923 102 3 1βˆ’π›Ώ(1βˆ’πΏ)]π‘›β€–Οˆπ‘›0βˆ’π‘β€– CARDINAL iajs-2923 103 1 2.15 CARDINAL iajs-2923 103 2 zn-suzuki ORG iajs-2923 103 3 π’žβ„±(𝒫𝒸 NORP iajs-2923 103 4 β‰  πœ™. PERSON iajs-2923 104 1 π’žβ„±(𝒫𝒸 NORP iajs-2923 104 2 0 ≀ MONEY iajs-2923 105 1 𝒫. π’₯. 𝑃. π’œ = PERSON iajs-2923 105 2 βˆ’ 𝑝‖ PERSON iajs-2923 105 3 𝒩algorithm NORP iajs-2923 105 4 βˆ’ 𝑝‖ PERSON iajs-2923 106 1 βˆ’ 𝛼𝑛)Οˆπ‘’π‘› + 𝛼𝑛𝒫𝒸(𝑒𝑛 EVENT iajs-2923 108 1 1+π‘šπ‘Žπ‘₯{‖𝒫𝒸(𝑝)βˆ’π’«π’Έ((1βˆ’π›Όπ‘›)Οˆπ‘’π‘›+𝛼𝑛𝒫𝒸(𝑒𝑛))β€–,β€–Οˆπ‘βˆ’Οˆ((1βˆ’π›Όπ‘›)Οˆπ‘’π‘›+𝛼𝑛𝒫𝒸(𝑒𝑛))β€– CARDINAL iajs-2923 110 1 1 CARDINAL iajs-2923 112 1 + π›Όπ‘›β€–π’«π’ΈΟˆ(𝑒𝑛 PERCENT iajs-2923 115 1 𝐿)]β€–Οˆπ‘’π‘› βˆ’ 𝑝‖ PRODUCT iajs-2923 115 2 ihjpas PERSON iajs-2923 116 1 36(1)2023 298 ≀ QUANTITY iajs-2923 117 1 𝒫. π’₯. 𝒩. π’œ = PERSON iajs-2923 118 1 0 as 𝑛 MONEY iajs-2923 119 1 2.16 CARDINAL iajs-2923 119 2 zn-suzuki ORG iajs-2923 119 3 π’žβ„±(𝒫𝒸 NORP iajs-2923 119 4 β‰  Ο•. PERSON iajs-2923 119 5 𝒩algorithm NORP iajs-2923 120 1 π’žβ„±(𝒫𝒸 NORP iajs-2923 120 2 0 ≀ MONEY iajs-2923 120 3 β€–Οˆπ“π‘›+1 βˆ’ 𝑝‖ PRODUCT iajs-2923 120 4 βˆ’ 𝛼𝑛)Οˆπ’«π’Έ(𝓇𝑛 ORG iajs-2923 121 1 𝛼𝑛𝒫𝒸𝑇𝓇𝑛 GPE iajs-2923 121 2 1 CARDINAL iajs-2923 121 3 1 βˆ’ 𝛼𝑛)β€–π’«π’ΈΟˆ(𝓇𝑛 DATE iajs-2923 122 1 1 CARDINAL iajs-2923 122 2 1 CARDINAL iajs-2923 122 3 1+π‘šπ‘Žπ‘₯{‖𝒫𝒸(𝑝)βˆ’π’«π’Έ(𝓇𝑛)β€–,β€–Οˆπ‘βˆ’Οˆπ“‡π‘›β€– CARDINAL iajs-2923 122 4 1 CARDINAL iajs-2923 122 5 2.8 CARDINAL iajs-2923 122 6 β€–Οˆπ“‡π‘› NORP iajs-2923 123 1 1 CARDINAL iajs-2923 123 2 1 βˆ’ 𝛽𝑛)β€–Οˆπ’«π’Έ(𝓏𝑛 DATE iajs-2923 123 3 1+π‘šπ‘Žπ‘₯{‖𝒫𝒸(𝑝)βˆ’π’«π’Έ(𝓏𝑛)β€–,β€–Οˆπ‘βˆ’Οˆπ“π‘›β€– CARDINAL iajs-2923 123 4 1 CARDINAL iajs-2923 123 5 1 CARDINAL iajs-2923 123 6 2.9 CARDINAL iajs-2923 123 7 2.9 CARDINAL iajs-2923 123 8 2.8 CARDINAL iajs-2923 124 1 1 CARDINAL iajs-2923 128 1 1 CARDINAL iajs-2923 131 1 1 CARDINAL iajs-2923 134 1 1 CARDINAL iajs-2923 134 2 2πœ†(1 CARDINAL iajs-2923 136 1 1 CARDINAL iajs-2923 138 1 1 CARDINAL iajs-2923 141 1 1 CARDINAL iajs-2923 143 1 𝒩algorithm 𝒫. π’₯. 𝒩. π’œ = PERSON iajs-2923 145 1 1βˆ’πœ†(1βˆ’πΏ)]2π‘›β€–Οˆπ“0βˆ’π‘β€– CARDINAL iajs-2923 146 1 ihjpas PERSON iajs-2923 147 1 36(1)2023 CARDINAL iajs-2923 150 1 1 CARDINAL iajs-2923 150 2 s. PERSON iajs-2923 150 3 swami NORP iajs-2923 150 4 m. convergence rate PERSON iajs-2923 152 1 2020 DATE iajs-2923 152 2 3074-3089 CARDINAL iajs-2923 153 1 2 CARDINAL iajs-2923 153 2 z. PERSON iajs-2923 153 3 thajil GPE iajs-2923 153 4 a. zenali PERSON iajs-2923 154 1 haitham PERSON iajs-2923 155 1 2021 CARDINAL iajs-2923 155 2 78-91 CARDINAL iajs-2923 156 1 3 CARDINAL iajs-2923 156 2 jamil GPE iajs-2923 156 3 z.; abed PERSON iajs-2923 157 1 iraqi NORP iajs-2923 157 2 scienceno GPE iajs-2923 158 1 2015 DATE iajs-2923 158 2 56 DATE iajs-2923 158 3 3230-3239 CARDINAL iajs-2923 159 1 4 CARDINAL iajs-2923 159 2 daengsaen PERSON iajs-2923 159 3 j.; khemphet PERSON iajs-2923 159 4 a. PERSON iajs-2923 160 1 hindawi PERSON iajs-2923 163 1 2018 DATE iajs-2923 163 2 6 CARDINAL iajs-2923 163 3 5 CARDINAL iajs-2923 164 1 ullah PERSON iajs-2923 164 2 k.; muhammad PERSON iajs-2923 164 3 a. PERSON iajs-2923 164 4 three CARDINAL iajs-2923 165 1 linear topol. ORG iajs-2923 167 1 2018,7 CARDINAL iajs-2923 167 2 87–100 DATE iajs-2923 167 3 6 CARDINAL iajs-2923 168 1 z.h. GPE iajs-2923 168 2 thajil GPE iajs-2923 168 3 a. q. equivalence PERSON iajs-2923 169 1 j. phys PERSON iajs-2923 170 1 022115 DATE iajs-2923 171 1 2021 CARDINAL iajs-2923 171 2 7 CARDINAL iajs-2923 171 3 dogan PERSON iajs-2923 171 4 k. PERSON iajs-2923 172 1 tbilisi mathematical journal ORG iajs-2923 173 1 2020 DATE iajs-2923 173 2 65 CARDINAL iajs-2923 174 1 8 CARDINAL iajs-2923 175 1 karakaya GPE iajs-2923 175 2 jungck-kirk ORG iajs-2923 176 1 punjab university journal of mathematics ORG iajs-2923 177 1 2022 CARDINAL iajs-2923 177 2 54 DATE iajs-2923 177 3 75-87 DATE iajs-2923 178 1 9 CARDINAL iajs-2923 178 2 albaqeri ORG iajs-2923 178 3 d. NORP iajs-2923 178 4 r. NORP iajs-2923 180 1 2019 DATE iajs-2923 180 2 34 DATE iajs-2923 180 3 2 CARDINAL iajs-2923 180 4 175 CARDINAL iajs-2923 181 1 10 CARDINAL iajs-2923 182 1 jungck GPE iajs-2923 183 1 american NORP iajs-2923 183 2 monthly DATE iajs-2923 184 1 1976 DATE iajs-2923 184 2 83 DATE iajs-2923 184 3 4 DATE iajs-2923 184 4 261 CARDINAL iajs-2923 185 1 11 CARDINAL iajs-2923 186 1 bosede, a. ORG iajs-2923 186 2 jungck krasnoselskij PERSON iajs-2923 187 1 univ NORP iajs-2923 188 1 palacki PERSON iajs-2923 190 1 fac ORG iajs-2923 190 2 rer ORG iajs-2923 191 1 nat. PERSON iajs-2923 191 2 mathematica PERSON iajs-2923 192 1 2011 DATE iajs-2923 192 2 50 DATE iajs-2923 192 3 1 CARDINAL iajs-2923 192 4 17 CARDINAL iajs-2923 193 1 12 CARDINAL iajs-2923 194 1 picard iteration PERSON iajs-2923 195 1 appl2 ORG iajs-2923 196 1 2004 DATE iajs-2923 196 2 97 CARDINAL iajs-2923 197 1 13.thianwan CARDINAL iajs-2923 197 2 s. PERSON iajs-2923 197 3 two CARDINAL iajs-2923 199 1 2009 DATE iajs-2923 199 2 224 CARDINAL iajs-2923 199 3 2 CARDINAL iajs-2923 199 4 688–695 DATE iajs-2923 200 1 14 CARDINAL iajs-2923 201 1 r. NORP iajs-2923 201 2 sahu PERSON iajs-2923 201 3 d. NORP iajs-2923 201 4 new york GPE iajs-2923 201 5 2009 DATE iajs-2923 202 1 15 CARDINAL iajs-2923 203 1 2008 DATE iajs-2923 203 2 17 DATE iajs-2923 203 3 33–42 CARDINAL iajs-2923 203 4 16 CARDINAL iajs-2923 204 1 suzuki ORG iajs-2923 205 1 j. math PERSON iajs-2923 208 1 340 CARDINAL iajs-2923 208 2 2008 DATE iajs-2923 208 3 1088-1095 DATE