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Weak and Strong convergence criteria of modified Noor iterations for asymptotically nonexpansive mappings in the intermediate sense

Shrabani Banerjee|Binayak Samadder Choudhury
대한수학회 (The Korean Mathematical Society)|2007.08|대한수학회보 (Bulletin of the KMS)|제44권 제3호|pp. 493-506

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Abstract

In this paper weak and strong convergence theorems of mod-ied Noor iterations to xed points for asymptotically nonexpansive map-pings in the intermediate sense in Banach spaces are established. In onetheorem where we establish strong convergence we assume an additionalproperty of the operator whereas in another theorem where we establishweak convergence assume an additional property of the space.

참고문헌 (25)

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관련 논문AI추천

Weak and strong convergence of three step iteration scheme with errors for non-self asymptotically nonexpansive mappings권영철, 정재욱강원경기수학회 · 한국수학논문집2014 · 제22권 제2호Strong convergence of modified ishikawa iterates for asymptotically nonexpansive maps with new control conditionsA. Anthony Eldred, P. Julia Mary대한수학회 · 대한수학회논문집2018 · 제33권 제4호Strong Convergence by Pseudocontractive Mappings for the Noor Iteration Scheme강미광영남수학회 · East Asian Mathematical Journal2015 · 제31권 제3호Noor iterations for nonlinear Lipschitzian strongly accretive mappings정재욱, A. Rafiq, M. Aslam Noor한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제4호Approximating common fixed points of asymptotically nonexpansive mappings강정임, 조열제, Haiyun Zhou대한수학회 · 대한수학회보2005 · 제42권 제4호Noor Iterations with Error for Non-Lipschitzian Mappings in Banach SpacesRabian Wangkeeree, Somyot Plubtieng경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호

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