Fixed-point theorems for mean nonexpansive mappings in Banach spaces
type: Item
instance of: scholarly article
title: Fixed-point theorems for mean nonexpansive mappings in Banach spaces
zbMATH Open document ID: 1473.47021
DOI: 10.1155/2014/746291
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We define a mean nonexpansive mapping \(T\) on \(X\) in the sense that \(\|T x - T y\| \leq a \| - y\| + b \| - T y\|\), \(a, b \geq 0\), \(a + b \leq 1\). It is proved that mean nonexpansive mapping has approximate fixed-point sequence, and, under some suitable conditions, we get some existence and uniqueness theorems of fixed point.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 7023005
zbMATH Keywords: mean nonexpansive mapping
zbMATH Keywords: approximate fixed-point sequence
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
Wikidata QID: Q59041174
author: Zhanfei Zuo
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/746291
OpenAlex ID: W1997534103
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description: scientific article; zbMATH DE number 7023005