Fixed point results for modified weak and rational \(\alpha\)-\(\psi\)-contractions in ordered 2-metric spaces
type: Item
instance of: scholarly article
title: Fixed point results for modified weak and rational \(\alpha\)-\(\psi\)-contractions in ordered 2-metric spaces
zbMATH Open document ID: 1310.54045
DOI: 10.1186/1687-1812-2014-6
author: Shahin Fathollahi
author: Nawab Hussain
author: L. A. Khan
published in: Fixed Point Theory and Applications
publication date: 2015-03-20T00:00:00Z
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 6417881
zbMATH Keywords: modified weak \(\alpha\)-\(\eta\)-contractions
zbMATH Keywords: modified rational \(\alpha\)-\(\eta\)-\(\psi\)-contractions
zbMATH Keywords: triangular 2-\(\alpha\)-\(\eta\)-admissible map
zbMATH Keywords: partially ordered 2-metric space
Wikidata QID: Q59319616
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1812-2014-6
OpenAlex ID: W2142183967
cites work: Fixed points and lines in 2-metric spaces
cites work: Q2772106
cites work: Q5818996
cites work: Q3101091
cites work: Common fixed point results for mappings with rational expressions
cites work: Handbook of metric fixed point theory
cites work: Cantor's theorem in 2-metric spaces and its applications to fixed point problems
cites work: 2‐metrische Räume und ihre topologische Struktur
cites work: Common fixed points of almost generalized contractive mappings in ordered metric spaces
cites work: Q5465199
cites work: Q3410667
cites work: Remarks on \(G\)-metric spaces and fixed point theorems
cites work: Remarks on \(G\)-metric spaces
cites work: A note on cone metric fixed point theory and its equivalence
cites work: A note on the equivalence of some metric and cone metric fixed point results
cites work: On the metrizability of cone metric spaces
cites work: Fixed point theorems in 2-metric spaces
cites work: Q5182846
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: Generalized contractions in partially ordered metric spaces
cites work: Fixed point theorems in partially ordered metric spaces and applications
cites work: Q3066880
cites work: Comparison functions and fixed point results in partial metric spaces
cites work: Fixed point theorems for weak \(C\)-contractions in partially ordered 2-metric spaces
cites work: Fixed point theorems in ordered Banach spaces and applications to nonlinear integral equations
cites work: Krasnosel'skii-type fixed point theorems with applications to Volterra integral equations
description: scientific article; zbMATH DE number 6417881