Fixed points for \(\psi\)-graphic contractions with application to integral equations
type: Item
instance of: scholarly article
title: Fixed points for \(\psi\)-graphic contractions with application to integral equations
zbMATH Open document ID: 1294.54026
DOI: 10.1155/2013/575869
author: Nawab Hussain
author: Peyman Salimi
author: Saleh A. Al-Mezel
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: The aim of this paper is to define modified weak \(\alpha\)-\(\psi\)-contractive mappings and to establish fixed point results for such mappings defined on partial metric spaces using the notion of triangular \(\alpha\)-admissibility. As an application, we prove new fixed point results for graphic weak \(\psi\)-contractive mappings. Moreover, some examples and an application to integral equations are given here to illustrate the usability of the obtained results.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6307016
Wikidata QID: Q58917162
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/575869
OpenAlex ID: W2034060335
cites work: Partial Metric Topology
cites work: Common fixed points of generalized contractions on partial metric spaces and an application
cites work: Comparison functions and fixed point results in partial metric spaces
cites work: Metric-like spaces, partial metric spaces and fixed points
cites work: Some new extensions of Banach's contraction principle to partial metric space
cites work: Coupled coincidence points of mappings in ordered partial metric spaces
cites work: Common fixed point results for mappings with rational expressions
cites work: Fixed point theorems under Hardy-Rogers contractive conditions on 0-complete ordered partial metric spaces
cites work: Fixed point results under various contractive conditions in partial metric spaces
cites work: Best proximity points for Geraghty's proximal contraction mappings
cites work: Common fixed point of a power graphic contraction pair in partial metric spaces endowed with a graph
cites work: Fixed point results for weak contractive mappings in ordered \(K\)-metric spaces
cites work: An Introduction to Metric Spaces and Fixed Point Theory
cites work: Fixed points for weak \(\alpha\)-\(\psi\)-contractions in partial metric spaces
cites work: Some common fixed point theorems in \(0-\sigma\)-complete metric-like spaces
cites work: Fixed point theorems via various cyclic contractive conditions in partial metric spaces
cites work: Nonlinear contractions in \(0\)-complete partial metric spaces
cites work: Coupled fixed and coincidence points for monotone operators in partial metric spaces
cites work: Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
cites work: Modified \(\alpha\)-\(\psi\)-contractive mappings with applications
cites work: Generalized \(\alpha\)-\(\psi\) contractive type mappings and related fixed point theorems with applications
cites work: On \(\alpha\)-\(\psi\)-Meir-Keeler contractive mappings
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: The contraction principle for mappings on a metric space with a graph
cites work: The contraction principle for set valued mappings on a metric space with a graph
cites work: Fixed point theorems for Reich type contractions on metric spaces with a graph
cites work: Q3009219
cites work: Fixed point theorems in ordered Banach spaces and applications to nonlinear integral equations
cites work: Q3066880
description: scientific article; zbMATH DE number 6307016