CONVERGENCE THEOREMS FOR VARIATIONAL INEQUALITIES EQUILIBRIUM PROBLEMS AND NONEXPANSIVE MAPPINGS BY HYBRID METHOD

被引：0

作者：

Saeidi, Shahram ^{[1
,2
]}

机构：

[1] Univ Kurdistan, Dept Math, Sanandaj 416, Kurdistan, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 03期

关键词：

Amenable semigroup; Equilibrium problem; Inverse-strongly monotone mapping; Iteration; Nonexpansive mapping; Projection; FIXED-POINT PROBLEMS; STRICT PSEUDO-CONTRACTIONS; FINDING COMMON SOLUTIONS; HILBERT-SPACES; BANACH-SPACES; MONOTONE-OPERATORS; SEMIGROUPS; WEAK; RETRACTIONS; ALGORITHMS;

D O I：

10.11650/twjm/1500406679

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce iterative schemes for finding a common element of the set of common fixed points for a left amenable semigroup of non-expansive mappings, the set of solutions of the variational inequalities for a family of a-inverse-strongly monotone mappings and the set of solutions of a system of equilibrium problems in a Hilbert space. We establish weak and strong convergence theorems for the sequences generated by our proposed schemes. Moreover, we present various applications to the additive semigroup of nonnegative real numbers and families of strictly pseudocontractive mappings.

引用

页码：1057 / 1077

页数：21

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