Coupled fixed point theorems for \((\alpha, \phi)_{g}\)-contractive type mappings in partially ordered \(G\)-metric spaces

DOI10.1515/math-2015-0082zbMath1489.54097OpenAlexW2424574716MaRDI QIDQ317767

Xianjiu Huang, Jian-Hua Chen

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2015-0082

zbMATH Keywords

partially ordered setcoincidence pointcoupled fixed point\(G\)-metric space\((\alpha, \phi)_{g}\)-contractive type mappings

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (2)

Fixed point theorems for cyclic contractive mappings via altering distance functions in metric-like spaces ⋮ Some new fuzzy fixed point theorems via distance functions with applications

Cites Work

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• Fixed point of \(\alpha\)-\(\psi\)-contractive type mappings in uniform spaces
• Coupled fixed point theorems for \({\alpha}\)-\({\psi}\)-contractive type mappings in partially ordered metric spaces
• Coupled fixed point theorems on partially ordered \(G\)-metric spaces
• Coupled coincidence point theorems for compatible mappings in partially ordered intuitionistic generalized fuzzy metric spaces
• Coupled fixed point theorems for nonlinear contractions in partially ordered \(G\)-metric spaces
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Partially ordered cone metric spaces and coupled fixed point results
• Fixed point results for mappings satisfying \((\psi ,\varphi )\)-weakly contractive condition in partially ordered metric spaces
• Coupled fixed point results in generalized metric spaces
• Common coupled fixed point theorems in cone metric spaces for \(w\)-compatible mappings
• Some fixed point theorem for mapping on complete \(G\)-metric spaces
• Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces
• A coupled coincidence point result in partially ordered metric spaces for compatible mappings
• Monotone generalized nonlinear contractions in partially ordered metric spaces
• Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
• Fixed point theorems for contractive mappings in complete \(G\)-metric spaces
• Monotone generalized contractions in partially ordered probabilistic metric spaces
• Existence of fixed point results in \(G\)-metric spaces
• Coupled fixed point theorems in partially ordered \(G\)-metric spaces
• Fixed point theory for contractive mappings satisfying \(\Phi \)-maps in G-metric spaces
• Property P in G-metric spaces
• Fixed point theorems in partially ordered metric spaces and applications
• Coupled common fixed point results in ordered G-metric spaces
• Coupled fixed point theorems for compatible mappings in partially ordered
• Quadruple fixed point theorems under (φ,ψ )-contractive conditions in partially ordered G -metric spaces with mixed g -monotone property
• Generalized contractions in partially ordered metric spaces

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