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      KCI등재후보

      APPROXIMATING COMMON FIXED POINTS OF ONE-STEP ITERATIVE SCHEME WITH ERROR FOR NON-SELF ASYMPTOTICALLY NONEXPANSIVE IN THE INTERMEDIATE SENSE MAPPINGS

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      https://www.riss.kr/link?id=A104163101

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      다국어 초록 (Multilingual Abstract)

      In this paper, we study a new one-step iterative scheme with error for approximating common fixed points of non-self asymptotically nonexpansive in the intermediate sense mappings in uniformly convex Banach spaces. Also we have proved weak and strong ...

      In this paper, we study a new one-step iterative scheme with error for approximating common fixed points of non-self asymptotically nonexpansive in the intermediate sense mappings in uniformly convex Banach spaces. Also we have proved weak and strong convergence theorems for above said scheme. The results obtained in this paper extend and improve the recent ones, announced by Zhou et al. [27] and many others.

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      참고문헌 (Reference)

      1 S. Reich, "Weak convergence theorems for nonexpansive mappings in Banach spaces" 67 : 274-276, 1979

      2 Z. Opial, "Weak convergence of the sequence of successive approximatins for nonexpan-sive mappings" 73 : 591-597, 1967

      3 J. Schu, "Weak and strong convergence theorems to xed points of asymptotically non-expansive mappings" 43 : 153-159, 1991

      4 M. O. Osilike, "Weak and strong convergence theorems for xed points of asymptotically nonexpansive mappings" 32 : 1181-1191, 2000

      5 J. Schu, "The nonlinear ergodic theorem for asymptotically nonexpansive mapping in Banach spaces" 399-404, 1992

      6 C. E. Chidume, "Strong convergence theorems for nonexpansive mappings in arbitrary Banach spaces"

      7 C. E. Chidume, "Strong and weak convergence theorems for asymptotically nonexpansive mappings" 280 : 364-374, 2003

      8 C. E. Chidume, "On the approximation of xed points of nonexpansive mappings" 7 : 345-355, 1981

      9 C. E. Chidume, "Nonexpansive mappings, generalizations and iterative algorithms. in: Nonlinear Analysis and Application. To V. Lakshmikantam on his 80th Birthday (Research Monograph)" Kluwer Academic Publishers 383-430,

      10 W. R. Mann, "Mean value methods in iteration" 506-510, 1953

      1 S. Reich, "Weak convergence theorems for nonexpansive mappings in Banach spaces" 67 : 274-276, 1979

      2 Z. Opial, "Weak convergence of the sequence of successive approximatins for nonexpan-sive mappings" 73 : 591-597, 1967

      3 J. Schu, "Weak and strong convergence theorems to xed points of asymptotically non-expansive mappings" 43 : 153-159, 1991

      4 M. O. Osilike, "Weak and strong convergence theorems for xed points of asymptotically nonexpansive mappings" 32 : 1181-1191, 2000

      5 J. Schu, "The nonlinear ergodic theorem for asymptotically nonexpansive mapping in Banach spaces" 399-404, 1992

      6 C. E. Chidume, "Strong convergence theorems for nonexpansive mappings in arbitrary Banach spaces"

      7 C. E. Chidume, "Strong and weak convergence theorems for asymptotically nonexpansive mappings" 280 : 364-374, 2003

      8 C. E. Chidume, "On the approximation of xed points of nonexpansive mappings" 7 : 345-355, 1981

      9 C. E. Chidume, "Nonexpansive mappings, generalizations and iterative algorithms. in: Nonlinear Analysis and Application. To V. Lakshmikantam on his 80th Birthday (Research Monograph)" Kluwer Academic Publishers 383-430,

      10 W. R. Mann, "Mean value methods in iteration" 506-510, 1953

      11 J. Schu, "Iterative construction of xed points of asymptotically nonexpansive mappings" 158 : 407-413, 1991

      12 S. Ishikawa, "Fixed points by a new iteration method" 147-150, 1974

      13 S. Ishikawa, "Fixed points and iteration of a nonexpansive mapping in a Banach space" 65-71, 1976

      14 W. A. Kirk, "Fixed point theorems for non-Lipschitzian mappings of asymptotically non-expansive type" 17 : 339-346, 1974

      15 K. K. Tan, "Fixed point iteration processes for asymptotically nonexpansive mappings" 733-739, 1994

      16 B. E. Rhoades, "Fixed point iteration for certain nonlinear mappings" 183 : 118-120, 1994

      17 S. S. Chang, "Demi-closed principle and weak convergence problems for asymptotically nonexpansive mappin" 38 (38): 1245-1260, 2001

      18 C. E. Chidume, "Convergence theorems for mappings which are asymptotically nonexpansive in the intermediate sense" 25 (25): 239-257, 2004

      19 R. E. Bruck, "Convergence of iterates of asymptotically non-expansive mappings in Banach spaces with the uniform Opial property" 65 : 169-179, 1993

      20 G. B. Passty, "Construction of xed points for asymptotically nonexpansive mappings" 212-216, 1982

      21 J. Schu, "Approximating xed points of nonexpansive mappings by the Ishikawa iteration process" 178 : 301-308, 1993

      22 H. F. Senter, "Approximating xed points of nonexpansive mappings" 375-380, 1974

      23 Robert E. Megginson, "An Introduction to Banach Space Theory" Springer-Verlag 1998

      24 K. Goebel, "A xed point theorem for asymptotically nonexpansive map-pings" 171-174, 1972

      25 K. K. Tan, "A nonlinear ergodic theorem for asymptotically nonexpansive mappings" 45 : 25-36, 1992

      26 W. Nilsrakoo, "A new three-step xed point iteration scheme for asymp-totically nonexpansive mapping" 181 : 1026-1034, 2006

      27 H. Y. Zhou, "A new iteration algorithm for approximating common xed points for asymptotically nonexpansive mappings" 10-, 2007

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      학술지 이력

      학술지 이력
      연월일 이력구분 이력상세 등재구분
      2027 평가예정 재인증평가 신청대상 (재인증)
      2021-01-01 평가 등재학술지 유지 (재인증) KCI등재
      2018-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2015-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2011-01-01 평가 등재학술지 선정 (등재후보2차) KCI등재
      2010-01-01 평가 등재후보 1차 PASS (등재후보1차) KCI등재후보
      2009-04-24 학회명변경 한글명 : 부산경남수학회 -> 영남수학회
      영문명 : The Busan Gyeongnam Mathematical Society -> Youngnam Mathematical Society
      KCI등재후보
      2008-01-01 평가 등재후보학술지 선정 (신규평가) KCI등재후보
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      학술지 인용정보

      학술지 인용정보
      기준연도 WOS-KCI 통합IF(2년) KCIF(2년) KCIF(3년)
      2016 0.14 0.14 0.15
      KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
      0.13 0.12 0.304 0.09
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