Some generalizations of Jungck's fixed point theorem
type: Item
instance of: scholarly article
title: Some generalizations of Jungck's fixed point theorem
zbMATH Open document ID: 1254.54058
DOI: 10.1155/2012/213876
author: José R. Morales
author: E. M. Rojas
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2012-12-18T00:00:00Z
review text: Summary: We generalize Jungck's fixed point theorem for commuting mappings by means of the concepts of altering distance functions and compatible pair of mappings, as well as, by using contractive inequalities of integral type and contractive inequalities depending on another function.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 6116535
zbMATH Keywords: Jungck's fixed point theorem
zbMATH Keywords: commuting mappings
zbMATH Keywords: contractive inequalities
Wikidata QID: Q58705618
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/213876
OpenAlex ID: W1974333485
cites work: Common fixed points of weak contractions in cone metric spaces
cites work: Q5286510
cites work: Some results on weakly contractive maps
cites work: A Comparison of Various Definitions of Contractive Mappings
cites work: Contractive definitions revisited
cites work: Q3032990
cites work: Commuting Mappings and Fixed Points
cites work: Fixed point theorems by altering distances between the points
cites work: Compatible mapping and common fixed points
cites work: A fixed point theorem for mappings satisfying a general contractive condition of integral type
cites work: A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type
cites work: Q3161047
cites work: Fixed points of weakly compatible maps satisfying a general contractive condition of integral type
cites work: Two fixed-point theorems for mappings satisfying a general contractive condition of integral type in the modular space
cites work: Common fixed point theorems of Gregus type for weakly compatible mappings satisfying contractive conditions of integral type
cites work: Two fixed-point theorems for mappings satisfying a general contractive condition of integral type
cites work: A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type
cites work: Remarks on ``Cone metric spaces and fixed point theorems of T-Kannan and T-Chatterjea contractive mappings''
cites work: A generalization of Ćirić quasicontractions
cites work: Cone metric spaces and fixed point theorems of T-Kannan contractive mappings
cites work: Q3073918
cites work: Weakly \(\varphi \)-pairs and common fixed points in cone metric spaces
cites work: Q4930479
cites work: Q5421055
description: scientific article; zbMATH DE number 6116535