Weak and strong convergence theorems for nonlinear mappings and system of generalized mixed equilibrium problems in Hilbert spaces

被引：0

作者：

Cheng, Qingqing ^{[1
,2
]}

Su, Yongfu ^{[3
]}

机构：

[1] Nankai Univ, Dept Math, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

[3] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 04期

关键词：

Equilibrium problem; Modified Ishikawa's iteration; hybrid algorithm; Hilbert space; weak and strong convergence; STRICT PSEUDO-CONTRACTIONS; FIXED-POINTS; ALGORITHM;

D O I：

10.22436/jnsa.010.04.13

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we construct two iteration schemes for approximating a common element of the set of solutions of equilibrium problems (GMEP and GEP) and the set of common fixed points of a finite family of k-strictly asymptotically pseudo-contractions in Hilbert spaces. Fixed point theorems are established in Hilbert spaces. Numerical examples and applications are provided. The main results of this paper modify and improve many important recent results in the literature. (C) 2017 All rights reserved.

引用

页码：1433 / 1455

页数：23

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