The common fixed point of single-valued generalized \(\varphi _f\)-weakly contractive mappings

DOI10.1016/j.aml.2010.12.036zbMath1296.54076OpenAlexW2057657551MaRDI QIDQ628290

Ebrahim Analouee, Sirous Moradi, Zahra Fathi

Publication date: 10 March 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.12.036

zbMATH Keywords

complete metric spacecommon fixed pointcontractive mappingweakly compatiblegeneralized weakly contractivenondecreasing

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (18)

Results on coincidence and common fixed points for \((\psi,\varphi)_g\)-generalized weakly contractive mappings in ordered metric spaces ⋮ Fixed point theorems for the functions having monotone property or comparable property in the product spaces ⋮ Some coincidence point results for generalized \((\psi,\varphi)\)-weakly contractions in ordered \(b\)-metric spaces ⋮ Existence of solutions for a periodic boundary value problem via generalized weakly contractions ⋮ Common fixed point theorems for ({\(\psi\)}, {\(\phi\)})-weak nonlinear contraction in partially ordered sets ⋮ Common fixed points of six mappings in partially ordered \(G\)-metric spaces ⋮ Some fixed point results in ordered \(G_p\)-metric spaces ⋮ Some coincidence point results for generalized (\({\psi,\varphi}\))-weakly contractive mappings in ordered \(G\)-metric spaces ⋮ On the fixed point of \((\psi - \varphi)\)-weak and generalized \((\psi - \varphi)\)-weak contraction mappings ⋮ $C$-class Functions and Common Fixed Point Theorems Satisfying $varphi $-weakly Contractive Conditions ⋮ Existence and uniqueness of a common fixed point on partial metric spaces ⋮ Fixed point theory for cyclic generalized \((\varphi-\phi)\)-contraction mappings ⋮ Common fixed-point theorems of generalized \((\psi,\varphi)\)-weakly contractive mappings in \(b\)-metric-like spaces and application ⋮ Some coincidence point results in ordered \(b\)-metric spaces and applications in a system of integral equations ⋮ A common fixed point for generalized \((\psi, \varphi)_{f,g}\)-weak contractions ⋮ Common fixed point theorems for four mappings satisfying \(\psi\)-weakly contractive conditions ⋮ Unnamed Item ⋮ Coincidence point and common fixed point theorems in the product spaces of mixed-monotonically complete quasi-ordered metric spaces and their applications to the systems of integral equations and ordinary differential equations

Cites Work

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• Common fixed point of multivalued generalized \(\varphi \)-weak contractive mappings
• Fixed point theory for generalized \(\varphi\)-weak contractions
• Fixed points for set valued functions without continuity
• Some theorems on weakly contractive maps.
• Common fixed point theorems for maps under a contractive condition of integral type
• On Nonlinear Contractions

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