Common fixed point of \((\psi, \beta)\)-generalized contractive mappings in partially ordered metric spaces
type: Item
instance of: scholarly article
title: Common fixed point of \((\psi, \beta)\)-generalized contractive mappings in partially ordered metric spaces
zbMATH Open document ID: 1298.54025
DOI: 10.1155/2014/379049
author: M. Abbas
author: I. Zulfaqar
author: Stojan Radenović
published in: Chinese Journal of Mathematics
publication date: 2014-10-16T00:00:00Z
review text: Summary: Gordji et al. (2012) gave a generalization of Geraghty's theorem. The aim of this paper is to study the necessary conditions for the existence of coincidence and common fixed points of four mappings satisfying \((\psi, \beta)\)-generalized contractive conditions in the setup of partial ordered metric spaces. Some examples are given to validate the definitions and results presented herein.
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 6356646
Wikidata QID: Q59036421
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/379049
OpenAlex ID: W1493018501
cites work: Q4358791
cites work: Some theorems on weakly contractive maps.
cites work: Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition
cites work: Common fixed point for generalized \((\psi ,\varphi )\)-weak contractions
cites work: Common fixed point theorem for four mappings satisfying generalized weak contractive condition
cites work: Common fixed point and invariant approximation in hyperbolic ordered metric spaces
cites work: Complementarity problems via common fixed points in vector lattices
cites work: Common fixed points of four maps in partially ordered metric spaces
cites work: Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces
cites work: Q4470093
cites work: Common fixed point results for four mappings satisfying almost generalized (S, T)-contractive condition in partially ordered metric spaces
cites work: Generalized weak contractions in partially ordered metric spaces
cites work: Fixed point theory for generalized \(\varphi\)-weak contractions
cites work: A fixed point theorem in partially ordered sets and some applications to matrix equations
cites work: Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
cites work: Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
cites work: Coincidence point theorem for generalized weakly contractions in ordered metric spaces
cites work: A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations
cites work: Common fixed point theorems for some families of maps
cites work: Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces
cites work: On Contractive Mappings
cites work: Fixed point results for contractions involving generalized altering distances in ordered metric spaces
cites work: A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
cites work: Fixed point and common fixed point theorems on ordered cone metric spaces
description: scientific article; zbMATH DE number 6356646