RELAXED EXTRAGRADIENT-LIKE METHOD FOR GENERAL SYSTEM OF GENERALIZED MIXED EQUILIBRIA AND FIXED POINT PROBLEM

被引：18

作者：

Ceng, Lu-Chuan ^{[2
,3
]}

Petrusel, Adrian ^{[1
]}

机构：

[1] Univ Babes Bolyai, Dept Appl Math, Kogalniceanu St 1, Cluj Napoca 400084, Romania

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

[3] Sci Comp Key Lab Shanghai Univ, Shanghai 200234, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 02期

基金：

美国国家科学基金会;

关键词：

Strictly pseudocontractive mapping; Fixed point; Inverse strongly monotone mapping; Relaxed extragradient-like method; General system of generalized mixed equilibria; VARIATIONAL INEQUALITY PROBLEMS; VISCOSITY APPROXIMATION METHODS; STRICT PSEUDO-CONTRACTIONS; WEAK-CONVERGENCE THEOREMS; ONE-PARAMETER FAMILY; NONEXPANSIVE-MAPPINGS; MONOTONE MAPPINGS; HILBERT-SPACES; NONLINEAR MAPPINGS; ITERATIVE SCHEME;

D O I：

10.11650/twjm/1500406595

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce two iterative algorithms based on the relaxed extragradient-like method for finding a common element of the solution set of a general system of generalized mixed equilibria and the fixed point set of a strictly pseudocontractive mapping in a real Hilbert space. We will prove the weak convergence of the iterative algorithm under some mild conditions, while the strong convergence is obtained under some more restrictive conditions.

引用

页码：445 / 478

页数：34

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