논문KCI 등재
Strong convergence of an iterative algorithm for a modified system of variational inequalities and a finite family of nonexpansive mappings in Banach spaces
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In this paper, a new iterative scheme based on the extra-gradient-like method for finding a common element of the set of fixed points of a finite family of nonexpansive mappings and the set of solutions of modified variational inequalities in Banach spaces. A strong convergence theorem for this iterative scheme in Banach spaces is established. Our results extend recent results announced by many others.
Abstract
In this paper, a new iterative scheme based on the extra-gradient-like method for finding a common element of the set of fixed points of a finite family of nonexpansive mappings and the set of solutions of modified variational inequalities in Banach spaces. A strong convergence theorem for this iterative scheme in Banach spaces is established. Our results extend recent results announced by many others.
참고문헌 (14)
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관련 논문AI추천
Strong convergence of an iterative algorithm for systems of variational inequalities and fixed point problems in $q$-uniformly smooth Banach spaces정재욱강원경기수학회 · 한국수학논문집2012 · 제20권 제2호Convergence of an Iterative Algorithm for Systems of Variational Inequalities and Nonlinear Mappings in Banach SpacesJae Ug Jeong경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제4호Solutions of systems of variational inequalities on fixed points of nonexpansive mappingsHossein Piri대한수학회 · 대한수학회보2014 · 제51권 제3호Convergence theorems of iterative algorithms for a general system of ariational inequalities with applications강신민, 권영철, Xiaolong Qin강원경기수학회 · 한국수학논문집2010 · 제18권 제4호STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE MAPPINGS AND INVERSE-STRONGLY-MONOTONE MAPPINGS IN A BANACH SPACEYing Liu영남수학회 · East Asian Mathematical Journal2010 · 제26권 제5호An iteration schemes for nonexpansive mappings and variational inequalitiesHongjun Wang, Yisheng Song대한수학회 · 대한수학회보2011 · 제48권 제5호
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