CONVERGENCE ANALYSIS OF A MONOTONE PROJECTION ALGORITHM IN REFLEXIVE BANACH SPACES

In this article, fixed points of generalized asymptotically quasi-Ф-nonexpansive mappings and equilibrium problems are investigated based on a monotone projection algo- rithm. Strong convergence theorems are established without the aid of compactness in the framework of reflexive Banach spaces.

Saved in:
Bibliographic Details
Published in:Acta mathematica scientia 2017-03, Vol.37 (2), p.488-502
Main Author: 秦小龙 Sun Young CHO
Format: Article
Language:English
Subjects:
47N10
65J15
90C33
Asymptotically quasi-ϕ-nonexpansive mapping
Banach space
equilibrium problem
fixed point
Generalized projection
单调
平衡问题
强收敛定理
投影算法
收敛性分析
空间框架
自反巴拿赫空间
非扩张映象
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, fixed points of generalized asymptotically quasi-Ф-nonexpansive mappings and equilibrium problems are investigated based on a monotone projection algo- rithm. Strong convergence theorems are established without the aid of compactness in the framework of reflexive Banach spaces.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(17)30016-4