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STRONG CONVERGENCE OF GENERAL ITERATIVE ALGORITHMS FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES

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대한수학회 (The Korean Mathematical Society)|2017.05|대한수학회지 (Journal of the KMS)|제54권 제3호|pp. 1031-1047

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참고문헌

키워드

fixed pointsnonexpansive mappinggeneral iterative algorithmsstrong positive linear operatorstrongly pseudocontractive mappinguniformly G\^ateaux differentiable norm
주제분류수학

초록

In this paper, we introduce two general iterative algorithms (one implicit algorithm and other explicit algorithm) for nonexpansive mappings in a reflexive Banach space with a uniformly G\^ateaux differentiable norm. Strong convergence theorems for the sequences generated by the proposed algorithms are established.

Abstract

In this paper, we introduce two general iterative algorithms (one implicit algorithm and other explicit algorithm) for nonexpansive mappings in a reflexive Banach space with a uniformly G\^ateaux differentiable norm. Strong convergence theorems for the sequences generated by the proposed algorithms are established.

참고문헌 (16)

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  13. R. Wangkeeree, "The general iterative methods for non-expansive mappings in Banach spaces", J. Global Optim, 51(1), pp.27~46 (2011)
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관련 논문AI추천

Convergence of an Implicit Iterative Process for Two Finite Families of Nonexpansive Mappings강신민, 권영철, 조선영, Xiaolong Qin강원경기수학회 · 한국수학논문집2010 · 제18권 제3호STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE MAPPINGS AND INVERSE-STRONGLY-MONOTONE MAPPINGS IN A BANACH SPACEYing Liu영남수학회 · East Asian Mathematical Journal2010 · 제26권 제5호CONVERGENCE THEOREMS ON VISCOSITY APPROXIMATION METHODS FOR FINITE NONEXPANSIVE MAPPINGS IN BANACH SPACES정종수한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제1호Convergence theorems of the modified Ishikawa iterative process for nonexpansive mappings강신민, 이석진영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호On iterative approximation of common fixed points of asymptotically nonexpansive mappings with applications김종규, 임원희, Xiaolong Qin영남수학회 · East Asian Mathematical Journal2012 · 제28권 제5호New iterative algorithms for zeros of accretive operatorsYisheng Song대한수학회 · 대한수학회지2009 · 제46권 제1호

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