논문KCI 등재
Approximation methods for a common minimum-norm point of a solution of variational inequality and fixed point problems in Banach spaces
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We introduce an iterative process which converges strongly to a common minimum-norm point of solutions of variational inequality problem for a monotone mapping and fixed points of a finite family of relatively nonexpansive mappings in Banach spaces. Our theorems improve most of the results that have been proved for this important class of nonlinear operators.
Abstract
We introduce an iterative process which converges strongly to a common minimum-norm point of solutions of variational inequality problem for a monotone mapping and fixed points of a finite family of relatively nonexpansive mappings in Banach spaces. Our theorems improve most of the results that have been proved for this important class of nonlinear operators.
참고문헌 (25)
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관련 논문AI추천
An iteration schemes for nonexpansive mappings and variational inequalitiesHongjun Wang, Yisheng Song대한수학회 · 대한수학회보2011 · 제48권 제5호Strong convergence of an iterative algorithm for a modified system of variational inequalities and a finite family of nonexpansive mappings in Banach spaces정재욱강원경기수학회 · 한국수학논문집2015 · 제23권 제3호STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE MAPPINGS AND INVERSE-STRONGLY-MONOTONE MAPPINGS IN A BANACH SPACEYing Liu영남수학회 · East Asian Mathematical Journal2010 · 제26권 제5호Solutions of systems of variational inequalities on fixed points of nonexpansive mappingsHossein Piri대한수학회 · 대한수학회보2014 · 제51권 제3호Strong convergence theorems for generalized variational inequalities and relatively weak nonexpansive mappings in Banach spacesYing Liu영남수학회 · East Asian Mathematical Journal2012 · 제28권 제3호On iterative approximation of common fixed points of asymptotically nonexpansive mappings with applications김종규, 임원희, Xiaolong Qin영남수학회 · East Asian Mathematical Journal2012 · 제28권 제5호
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