Common fixed point and invariant approximation in hyperbolic ordered metric spaces

DOI10.1186/1687-1812-2011-25zbMath1270.54039OpenAlexW2160750160WikidataQ59270155 ScholiaQ59270155MaRDI QIDQ362448

Abdul Rahim Khan, Mujahid Abbas, Mohamed Amine Khamsi

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/10.1186/1687-1812-2011-25

zbMATH Keywords

best approximationcommon fixed pointhyperbolic metric spaceordered asymptotically \(S\)-nonexpansive mappingordered uniformly \(C_q\)-commuting mapping

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Best approximation, Chebyshev systems (41A50) Special maps on metric spaces (54E40)

Related Items (11)

Fixed point approximation of asymptotically nonexpansive mappings in hyperbolic spaces ⋮ Fixed points of mappings satisfying contractive condition of integral type in modular spaces endowed with a graph ⋮ Complementarity problems via common fixed points in vector lattices ⋮ Common fixed points of family of multivalued F-contraction mappings on ordered metric spaces ⋮ Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces ⋮ Suzuki-type fixed point theorem for fuzzy mappings in ordered metric spaces ⋮ Common fixed point and solution of nonlinear functional equations ⋮ Fixed and periodic points of generalized contractions in metric spaces ⋮ Unnamed Item ⋮ Common fixed point of \((\psi, \beta)\)-generalized contractive mappings in partially ordered metric spaces ⋮ Coincidence point theorem for generalized weakly contractions in ordered metric spaces

Cites Work

• Fixed point theorems in generalized partially ordered G-metric spaces
• Generalized weak contractions in partially ordered metric spaces
• Common fixed point for generalized \((\psi ,\varphi )\)-weak contractions
• Fixed point and common fixed point theorems on ordered cone metric spaces
• Approximation of fixed points of uniformly \(R\)-subweakly commuting mappings
• Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition
• \(C_{q}\)-commuting maps and invariant approximations
• Fixed point theorems for weakly contractive mappings in partially ordered sets
• Approximating fixed points of some maps in uniformly convex metric spaces
• Common fixed point and approximation results for noncommuting maps on locally convex spaces
• An application of a fixed-point theorem to approximation theory
• KKM and Ky Fan theorems in hyperconvex metric spaces
• Some theorems on weakly contractive maps.
• Common fixed points and best approximation
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Common fixed point and invariant approximation results for noncommuting generalized \((f,g)\)-nonexpansive maps
• Invarianz bei linearen Approximationen
• Spaces with non-positive curvature
• A convexity in metric space and nonexpansive mappings. I.
• Fixed point theorems in hyperconvex metric spaces
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
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