Some coupled coincidence point theorems for a mixed monotone operator in a complete metric space endowed with a partial order by using altering distance functions

DOI10.1186/1687-1812-2013-194zbMath1469.54050OpenAlexW2128743294WikidataQ59299608 ScholiaQ59299608MaRDI QIDQ2253227

Saud Mastour A. Alsulami

Publication date: 25 July 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-194

zbMATH Keywords

contractive mappingscoupled coincidence pointsmixed \(g\)-monotone propertypartially metric spaces

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 (7)

Coupled point results in partially ordered metric spaces without compatibility ⋮ GENERALIZED (ψ, θ, ϕ)-CONTRACTION WITH APPLICATION TO ORDINARY DIFFERENTIAL EQUATIONS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unique coincidence and fixed point theorem for \(g\)-weakly C-contractive mappings in partial metric spaces ⋮ MULTIDIMENSIONAL FIXED POINT RESULTS FOR CONTRACTION MAPPING PRINCIPLE WITH APPLICATION

Cites Work

• Coupled coincidence points for monotone operators in partially ordered metric spaces
• Coupled fixed and coincidence points for monotone operators in partial metric spaces
• Coupled fixed points of weakly \(F\)-contractive mappings in topological spaces
• Coupled fixed points in partially ordered metric spaces and application
• Fixed point theorems for mixed monotone operators and applications to integral equations
• Fixed point theorems of multivalued monotone mappings in ordered metric spaces
• A coupled coincidence point result in partially ordered metric spaces for compatible mappings
• Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
• Compatible mapping and common fixed points
• Fixed point theorems in partially ordered metric spaces and applications
• An Introduction to Metric Spaces and Fixed Point Theory

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