Coupled coincidence points for monotone operators in partially ordered metric spaces

DOI10.1186/1687-1812-2011-44zbMath1315.47042OpenAlexW2170733676WikidataQ59269162 ScholiaQ59269162MaRDI QIDQ362414

Abdullah M. Alotaibi, Saud Mastour A. Alsulami

Publication date: 21 August 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-44

zbMATH Keywords

coupled coincidence pointpartially ordered metric spacemixed \(g\)-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) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Special maps on metric spaces (54E40)

Related Items (15)

Coupled point results in partially ordered metric spaces without compatibility ⋮ GENERALIZED (ψ, θ, ϕ)-CONTRACTION WITH APPLICATION TO ORDINARY DIFFERENTIAL EQUATIONS ⋮ Coupled and tripled coincidence point results without compatibility ⋮ Coupled fixed and coincidence points for monotone operators in partial metric spaces ⋮ Unnamed Item ⋮ A new technique to compute coupled coincidence points ⋮ Coupled coincidence points for mixed monotone random operators in partially ordered metric spaces ⋮ On common coupled fixed point theorems for comparable mappings in ordered partially metric spaces ⋮ \(n\)-tupled coincidence point theorems in partially ordered metric spaces for compatible mappings ⋮ Unique coincidence and fixed point theorem for \(g\)-weakly C-contractive mappings in partial metric spaces ⋮ Tripled random coincidence point and common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras ⋮ 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 ⋮ Bhaskar-Guo-Lakshmikantam-Ćirić type results via new functions with applications to integral equations ⋮ Coupled coincidence point results for a generalized compatible pair with applications ⋮ Quadruple random common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras

Cites Work

• Synchronal algorithm and cyclic algorithm for fixed point problems and variational inequality problems in Hilbert spaces
• Coupled fixed points in partially ordered metric spaces and application
• Fixed point theorems for monotone mappings on partial metric spaces
• Coupled common fixed point results in two generalized metric spaces
• Common coupled fixed point theorems in cone metric spaces for \(w\)-compatible mappings
• A coupled coincidence point result in partially ordered metric spaces for compatible mappings
• KKM mappings in metric type spaces
• Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
• Some coupled fixed point theorems in cone 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
• Fixed point theorems in partially ordered metric spaces and applications
• On Ciric's fixed point theorem
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Generalized contractions in partially ordered metric spaces
• An Introduction to Metric Spaces and Fixed Point Theory

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