Best proximity point theorems for generalized contractions in partially ordered metric spaces

DOI10.1186/1687-1812-2013-83zbMath1423.54105OpenAlexW2118701193WikidataQ59301708 ScholiaQ59301708MaRDI QIDQ2249137

Qingqing Cheng, Jingling Zhang, Yongfu Su

Publication date: 8 July 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-83

zbMATH Keywords

fixed pointbest proximity pointgeneralized contractionweak \(P\)-monotone property

Mathematics Subject Classification ID

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 (9)

Weak PG-property and best proximity points ⋮ Generalized contraction mapping principle and generalized best proximity point theorems in probabilistic metric spaces ⋮ Fixed point and best proximity point theorems for contractions in new class of probabilistic metric spaces ⋮ Further generalized contraction mapping principle and best proximity theorem in metric spaces ⋮ Existence of best proximity points for controlled proximal contraction ⋮ Proximity Point Properties for Admitting Center Maps ⋮ Homeomorphism metric space and the fixed point theorems ⋮ A new method for the research of best proximity point theorems of nonlinear mappings ⋮ Coupled best proximity point theorems for \(\alpha\)-\(\psi\)-proximal contractive multimaps

Cites Work

• A best proximity point theorem for Geraghty-contractions
• A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations
• Global optimal solutions of noncyclic mappings in metric spaces
• A best proximity point theorem for weakly contractive non-self-mappings
• Fixed point theorems for weakly contractive mappings in partially ordered sets
• Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations
• Proximinal Retracts and Best Proximity Pair Theorems
• 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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