ISHIKAWA ITERATIONS FOR EQUILIBRIUM AND FIXED POINT PROBLEMS FOR NONEXPANSIVE MAPPINGS IN HILBERT SPACES

被引：0

作者：

Cianciaruso, Filomena ^{[1
]}

Marino, Giuseppe ^{[1
]}

Muglia, Luigi ^{[1
]}

机构：

[1] Univ Calabria, Dipartimento Matemat, I-87036 Arcavacata Di Rende, CS, Italy

来源：

FIXED POINT THEORY | 2008年 / 9卷 / 02期

关键词：

equilibrium problem; fixed points; nonexpansive mappings; variational inequality; Ishikawa iterations;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce an iterative scheme Ishikawa-type for finding a common element of the set EP(G) of the equilibrium points of a bifunction G and the set Fix(T) of fixed points of a nonexpansive mapping T in a Hilbert space H. We. prove that the method converges strongly to an element z is an element of Fix(T) boolean AND EP(G) which is the unique solution of the variational inequality <(A - gamma f)z, x - z > >= 0 for every x is an element of Fix(T) boolean AND EP(G). The results presented here are situated on the line of research of [5, 6, 7, 10 12, 13].

引用

页码：449 / 464

页数：16

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