Variational Inequalities, Variational Inclusions and Common Fixed Point Problems in Banach Spaces

被引：6

作者：

Ceng, Lu-Chuan ^{[1
]}

Yuan, Qing ^{[2
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Linyi Univ, Sch Math & Stat, Linyi 276000, Shandong, Peoples R China

来源：

FILOMAT | 2020年 / 34卷 / 09期

关键词：

Modified implicit extragradient; Variational inclusions; Nonexpansive operators; Uniform convexity; Uniform smoothness; STRONG-CONVERGENCE; ACCRETIVE-OPERATORS; NONEXPANSIVE-MAPPINGS; EQUILIBRIUM; ALGORITHM; SYSTEMS;

D O I：

10.2298/FIL2009939C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, let X be a uniformly convex and q-uniformly smooth Banach space with 1 < q <= 2. We introduce and study modified implicit extragradient iterations for treating a common solution of a common fixed-point problem of a countable family of nonexpansive mappings, a general system of variational inequalities, and a variational inclusion in X.

引用

页码：2939 / 2951

页数：13

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