CQ METHOD FOR APPROXIMATING FIXED POINTS OF NONEXPANSIVE SEMIGROUPS AND STRICTLY PSEUDO-CONTRACTIVE MAPPINGS

被引：0

作者：

Piri, Hossein ^{[1
]}

Rahrovi, Samira ^{[1
]}

机构：

[1] Univ Bonab, Fac Basic Sci, Dept Math, POB 5551-761167, Bonab, Iran

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2017年 / 50卷 / 02期

关键词：

CQ method; amenable semigroup; pseudo-contraction mappings; NONLINEAR ERGODIC-THEOREMS; STRONG-CONVERGENCE THEOREM; AMENABLE SEMIGROUPS; RETRACTIONS; SYSTEMS;

D O I：

10.12775/TMNA.2017.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the CQ method for approximating a common fixed point of a left amenable semigroup of nonexpansive mappings, an infinite family of strictly pseudo-contraction mappings and the set of solutions of variational inequalities for monotone, Lipschitz-continuous mappings in a real Hilbert space. Our results are a generalization of a result announced by Nadezhkina and Takahashi [N. Nadezhkina and W. Takahashi, Strong convergence theorem by a hybrid method for nonexpansive mappings and Lipschitz-continuous monotone mappings, SIAM J. Optim. 16 (2006), 1230-1241] and some other recent results.

引用

页码：513 / 530

页数：18

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