Toward a generalized contractive condition in partial metric spaces with the existence results of fixed points and best proximity points

DOI10.1007/S11784-018-0499-4zbMath1489.54186OpenAlexW2794223551MaRDI QIDQ1742524

Aphinat Ninsri, Wutiphol Sintunavarat

Publication date: 11 April 2018

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-018-0499-4

zbMATH Keywords

best proximity pointspartial metric spacesweak \(\psi\)-\(\phi \)-contraction mappings

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (2)

Unnamed Item ⋮ Existence and Iterative Approximation of Hybrid Best Proximity Points for Set-Valued Mappings^*

Cites Work

• Further generalized contraction mapping principle and best proximity theorem in metric spaces
• Nonlinear integral equations with new admissibility types in \(b\)-metric spaces
• Fixed point theorem in ordered Banach spaces and applications to matrix equations
• A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations
• Suzuki's type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces
• Fixed point and multidimensional fixed point theorems with applications to nonlinear matrix equations in terms of weak altering distance functions
• Implicit relations related to ordered orbitally complete metric spaces and applications
• Fixed point theorems for multivalued mappings in ordered Banach spaces with application to integral inclusions
• Fixed point theorems for almost generalized \(\mathcal{C}\)-contractive mappings in ordered complete metric spaces
• Fixed point theorems in partially ordered Banach spaces with applications to nonlinear fractional evolution equations
• Random fixed point theorems in partially ordered metric spaces
• Schauder fixed-point theorem in semilinear spaces and its application to fractional differential equations with uncertainty
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Partial Metric Topology
• On Contractive Mappings
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