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Strong convergence of an iterative algorithm for systems of variational inequalities and fixed point problems in $q$-uniformly smooth Banach spaces

정재욱
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2012.06|한국수학논문집 (Korean Journal of Mathematics)|제20권 제2호|pp. 225-237|DOI http://dx.doi.org/

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참고문헌

키워드

q-uniformly smooth Banach spacevariational inequality.Strong convergencek-strict pseudo-contraction
주제분류수학

초록

In this paper, we introduce a new iterative scheme to in-vestigate the problem of nding a common element of nonexpansive mappings and the set of solutions of generalized variational inequali-ties for a k-strict pseudo-contraction by relaxed extra-gradient meth-ods. Strong convergence theorems are established in q-uniformly smooth Banach spaces.

Abstract

In this paper, we introduce a new iterative scheme to in-vestigate the problem of nding a common element of nonexpansive mappings and the set of solutions of generalized variational inequali-ties for a k-strict pseudo-contraction by relaxed extra-gradient meth-ods. Strong convergence theorems are established in q-uniformly smooth Banach spaces.

참고문헌 (17)

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관련 논문AI추천

Strong convergence of an iterative algorithm for a modified system of variational inequalities and a finite family of nonexpansive mappings in Banach spaces정재욱강원경기수학회 · 한국수학논문집2015 · 제23권 제3호Convergence 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 제4호An iteration schemes for nonexpansive mappings and variational inequalitiesHongjun Wang, Yisheng Song대한수학회 · 대한수학회보2011 · 제48권 제5호STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE MAPPINGS AND INVERSE-STRONGLY-MONOTONE MAPPINGS IN A BANACH SPACEYing Liu영남수학회 · East Asian Mathematical Journal2010 · 제26권 제5호

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