Common fixed points of two partially commuting tangential selfmaps on a metric space
type: Item
instance of: scholarly article
title: Common fixed points of two partially commuting tangential selfmaps on a metric space
zbMATH Open document ID: 0977.54037
author: K. P. R. Sastry
author: I. S. R. Krishna Murthy
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-01-24T00:00:00Z
full work available at URL: https://polipapers.upv.es/index.php/AGT/article/view/7677
review text: Two selfmaps \(f\) and \(g\) of a metric space \((X,d)\) are said to be noncompatible if there exists some sequence \(\{x_n\}\) such that \(\lim_{n\to \infty} f(x_n)= \lim_{n\to \infty} g(x_n)\) but \(\lim_{n\to \infty} d(f(g(x_n)), g(f(x_n)))\) is either nonzero or nonexistent. In this paper the authors prove two common fixed point theorems for a pair of selfmaps on a metric space without using the full force of noncompatibility and relaxing the Lipschitz type condition.
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 1542478
zbMATH Keywords: tangential selfmaps
zbMATH Keywords: noncompatible pair of selfmaps
zbMATH Keywords: common fixed point
zbMATH Keywords: Lipschitz type condition
reviewed by: Ioan A. Rus
MaRDI profile type: Publication
OpenAlex ID: W2033878981
cites work: Compatible mapping and common fixed points
cites work: Common fixed points of noncommuting mappings
cites work: Q4946387
cites work: Common fixed point theorems for contractive maps
cites work: Common fixed points of Lipschitz type mapping pairs
cites work: A note on the common fixed points of four selfmaps
DOI: 10.1006/JMAA.2000.7082
description: scientific article; zbMATH DE number 1542478