Strong convergence theorems for mixed equilibrium problem and asymptotically \(I\)-nonexpansive mapping in Banach spaces
type: Item
instance of: scholarly article
title: Strong convergence theorems for mixed equilibrium problem and asymptotically \(I\)-nonexpansive mapping in Banach spaces
zbMATH Open document ID: 1473.47034
DOI: 10.1155/2014/965737
author: Bin-Chao Deng
author: Tong Chen
author: Yilin Yin
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper aims to use a hybrid algorithm for finding a common element of a fixed point problem for a finite family of asymptotically nonexpansive mappings and the set solutions of mixed equilibrium problem in uniformly smooth and uniformly convex Banach space. Then, we prove some strong convergence theorems of the proposed hybrid algorithm to a common element of the above two sets under some suitable conditions.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 7023415
zbMATH Keywords: hybrid algorithm
zbMATH Keywords: fixed point problem
zbMATH Keywords: asymptotically nonexpansive mappings
zbMATH Keywords: uniformly smooth Banach space
zbMATH Keywords: strong convergence
Wikidata QID: Q59043180
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/965737
OpenAlex ID: W2039960299
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description: scientific article; zbMATH DE number 7023415