Weak and strong convergence theorems for asymptotically pseudo-contraction mappings in the intermediate sense in Hilbert spaces

被引：1

作者：

Lin, Lai-Jiu ^{[1
]}

Yu, Zenn-Tsun ^{[3
]}

Chuang, Chih-Sheng ^{[1
,2
]}

机构：

[1] Natl Changhua Univ Educ, Dept Math, Changhua 50058, Taiwan

[2] Natl Cheng Kung Univ, Dept Math, Tainan 701, Taiwan

[3] Nan Kai Univ Technol, Dept Elect Engn, Nantour 54243, Taiwan

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2013年 / 56卷 / 01期

关键词：

Asymptotically k-strict pseudo-contraction in the intermediate sense; Generalized equilibrium problem; Fixed point; Variational inequality problem; FIXED-POINT PROBLEMS; STRICT PSEUDOCONTRACTIVE MAPPINGS; NONEXPANSIVE-MAPPINGS; EQUILIBRIUM PROBLEMS; VARIATIONAL-INEQUALITIES; BANACH-SPACES; MONOTONE MAPPINGS; APPROXIMATION; MANN;

D O I：

10.1007/s10898-012-9968-2

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we prove both weak and strong convergence theorems for finding a common element of the solution set for a generalized equilibrium problem, the fixed point set of an asymptotically k-strict pseudo-contraction mapping in the intermediate sense, and the solution set of the variational inequality for a monotone and Lipschitz-continuous mapping by using a new hybrid extragradient method. Our results generalize and improve related results in the literatures.

引用

页码：165 / 183

页数：19

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