A remark on fixed point theorems for Lipschitzian mappings
type: Item
instance of: scholarly article
title: A remark on fixed point theorems for Lipschitzian mappings
zbMATH Open document ID: 0806.47050
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-02-16T00:00:00Z
review text: Let \(C\) be a bounded closed convex subset of a \(p\)-uniformly convex Banach space \((p>1)\) and \((a_{n,k})\) be a strongly ergodic matrix. The author proves that every map \(T: C\to C\) satisfying \[ \liminf_{n\to\infty} \inf_ m \sum^ \infty_{k=1} a_{n,k}\| T^{k+m}\|^ p< 1+c \] \((c>0)\) has a fixed point in \(C\).
reviewed by: Jürgen Appell
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 599910
zbMATH Keywords: strongly ergodic matrix
zbMATH Keywords: fixed point
author: Jarosław Górnicki
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1156
OpenAlex ID: W2027035472
DOI: 10.1006/JMAA.1994.1156
description: scientific article; zbMATH DE number 599910