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      Convergence theorems of a finite family of asymptotically quasi-nonexpansive type mappings in Banach spaces

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      https://www.riss.kr/link?id=A104162166

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      다국어 초록 (Multilingual Abstract)

      In this paper, we study multi-step iterative algorithm with errors and give the necessary and sufficient condition to converge to common fixed points for a finite family of asymptotically quasi-nonexpansive type mappings in Banach spaces. Also we have...

      In this paper, we study multi-step iterative algorithm with errors and give the necessary and sufficient condition to converge to common fixed points for a finite family of asymptotically quasi-nonexpansive type mappings in Banach spaces. Also we have proved a strong convergence theorem to converge to common fixed points for a finite family of said mappings on a nonempty compact convex subset of a uniformly convex Banach spaces. Our results extend and improve the corresponding results of [2, 4, 7, 8, 9, 10, 12, 15, 20].

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      참고문헌 (Reference)

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

      2 W. V. Petryshyn, "Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings" 43 : 459-497, 1973

      3 W. R. Mann, "Mean value methods in iteration" 4 : 506-510, 1953

      4 Q. H. Liu, "Iterative sequences for asymptotically quasi-nonexpansive mappings with error member of uniformly convex Banach spaces" 266 : 468-471, 2002

      5 Q. H. Liu, "Iterative sequences for asymptotically quasi-nonexpansive mappings with error member" 259 : 18-24, 2001

      6 Q. H. Liu, "Iterative sequences for asymptotically quasi-nonexpansive mappings" 259 : 1-7, 2004

      7 B. Xu, "Fixed point iterations for asymptotically nonexpansive mappings in Banach spaces" 267 : 444-453, 2002

      8 K. K. Tan, "Fixed point iteration processes for asymptotically nonexpansive mappings" 122 : 733-739, 1994

      9 S. Ishikawa, "Fixed point by a new iteration method" 44 : 147-150, 1974

      10 C. E. Chidume, "Convergence theorems for finite families of asymptoti-cally quasi-nonexpansive mappings" 2007 : 10-,

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

      2 W. V. Petryshyn, "Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings" 43 : 459-497, 1973

      3 W. R. Mann, "Mean value methods in iteration" 4 : 506-510, 1953

      4 Q. H. Liu, "Iterative sequences for asymptotically quasi-nonexpansive mappings with error member of uniformly convex Banach spaces" 266 : 468-471, 2002

      5 Q. H. Liu, "Iterative sequences for asymptotically quasi-nonexpansive mappings with error member" 259 : 18-24, 2001

      6 Q. H. Liu, "Iterative sequences for asymptotically quasi-nonexpansive mappings" 259 : 1-7, 2004

      7 B. Xu, "Fixed point iterations for asymptotically nonexpansive mappings in Banach spaces" 267 : 444-453, 2002

      8 K. K. Tan, "Fixed point iteration processes for asymptotically nonexpansive mappings" 122 : 733-739, 1994

      9 S. Ishikawa, "Fixed point by a new iteration method" 44 : 147-150, 1974

      10 C. E. Chidume, "Convergence theorems for finite families of asymptoti-cally quasi-nonexpansive mappings" 2007 : 10-,

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

      12 M. K. Ghosh, "Convergence of Ishikawa iterates of quasi-nonexpansive mappings" 207 : 96-103, 1997

      13 A. R. Khan, "Common fixed points of Noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces" 341 : 1-11, 2008

      14 D. R. Sahu, "Approximation of common fixed points of a family of asymptotically quasi-nonexpansive mappings" 41 (41): 625-632, 2008

      15 C. E. Chidume, "Approximation of common fixed points for finite fam-ilies of total asymptotically nonexpansive mappings" 333 : 128-141, 2007

      16 Y. C. Tang, "Approximation of common fixed points for a nite family of uniformly quasi-Lipschitzian mappings in Banach spaces" 8 (8): 63-70, 2010

      17 J. Quan, "Approximation common fixed point of asymp- totically quasi-nonexpansive-type mappings by the finite steps iterative sequences" 2006 : 1-8,

      18 K. K. Tan, "Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process" 178 : 301-308, 1993

      19 N. Shahzad, "Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces" 2006 : 1-10,

      20 K. Goebel, "A fixed point theorem for asymptotically nonexpansive map- pings" 35 : 171-174, 1972

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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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