Ordered \(S_p\)-metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems

DOI10.1186/s13663-019-0666-3zbMath1435.54027OpenAlexW2984163350MaRDI QIDQ2179545

Rogheieh Jalal Shahkoohi, Mohammed M. M. Jaradat, Zead Mustafa, Zoran Kadelburg, Vahid Parvaneh

Publication date: 12 May 2020

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

Full work available at URL: https://doi.org/10.1186/s13663-019-0666-3

zbMATH Keywords

fixed pointcomplete metric spaceordered \(b\)-metric space

Mathematics Subject Classification ID

Complete metric spaces (54E50) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (5)

Unique common fixed points for occasionally weakly biased maps of type (\(\mathscr{A}\)) in \(b\)-metric-like spaces ⋮ Unnamed Item ⋮ Sequential extended \(S\)-metric spaces and relevant fixed point results with application to nonlinear integral equations ⋮ \( S^{\ast p}$-$b\)-partial metric spaces with some results in common fixed point theorems ⋮ Application of some fixed-point theorems in orthogonal extended \(S\)-metric spaces

Cites Work

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• Some fixed point theorems for rational Geraghty contractive mappings in ordered \(b\)-metric spaces
• Fixed points of Geraghty-type mappings in various generalized metric spaces
• Some unique fixed point theorems
• Fixed point theory in \(\alpha\)-complete metric spaces with applications
• Further generalizations of the Banach contraction principle
• Fixed point theorems for hybrid rational Geraghty contractive mappings in ordered \(b\)-metric spaces
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Coupled coincidence point results for \((\psi,\varphi)\)-weakly contractive mappings in partially ordered \(G_b\)-metric spaces
• Some fixed point theorems for G-rational Geraghty contractive mappings in ordered generalized b-metric spaces
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• On Contractive Mappings
• A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations

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