On \((\psi ,\varphi )\)-weakly contractive condition in partially ordered metric spaces

DOI10.1016/j.camwa.2011.08.033zbMath1232.54041OpenAlexW2074753705MaRDI QIDQ662240

Bessem Samet, Wasfi A. Shatanawi

Publication date: 21 February 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.08.033

zbMATH Keywords

partially ordered setcommon fixed pointcoincidence pointweakly contractive conditionaltering distance functionweakly increasing

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (45)

New fixed point results for maps satisfying implicit relations on ordered metric spaces and application ⋮ On an extension of contractivity conditions via auxiliary functions ⋮ Some coincidence point results for generalized \((\psi,\varphi)\)-weakly contractions in ordered \(b\)-metric spaces ⋮ Common fixed points for mappings under contractive conditions of \((\alpha,\beta,\psi)\)-admissibility type ⋮ Some fixed point results for a generalized \(\psi\)-weak contraction mappings in orbitally metric spaces ⋮ Common fixed point theorems for \(\alpha-\psi\)-contractive type mappings ⋮ Some coincidence point theorems for nonlinear contraction in ordered metric spaces ⋮ Some new coupled coincidence point and coupled fixed point results in partially ordered metric-like spaces and an application ⋮ Common fixed points of almost generalized ({\(\psi, \phi\)})-contractive mappings in ordered metric spaces ⋮ Mixed \(g\)-monotone property and quadruple fixed point theorems in partially ordered metric spaces ⋮ On fixed points of \({\alpha}\)-\({\psi}\)-contractive multifunctions ⋮ Mixed \(g\)-monotone property and quadruple fixed point theorems in partially ordered G-metric spaces using \((\phi -{\psi})\) contractions ⋮ On generalized weakly \(G\)-contractive mappings in partially ordered \(G\)-metric spaces ⋮ Fixed point results for cyclic \((\psi,\phi,A,B)\)-contraction in partial metric spaces ⋮ Some fixed point results in ordered \(G_p\)-metric spaces ⋮ Fixed and coupled fixed point theorems of omega-distance for nonlinear contraction ⋮ Common fixed point theorems for dominating and weak annihilator mappings in ordered metric spaces ⋮ Some coincidence point results for generalized (\({\psi,\varphi}\))-weakly contractive mappings in ordered \(G\)-metric spaces ⋮ Coupled fixed point results for \((\psi,\phi)\)-weakly contractive mappings in ordered \(G\)-metric spaces ⋮ Coupled fixed point results for \((\psi,\phi)\)-weakly contractive condition in ordered partial metric spaces ⋮ Coupled coincidence point theorem in partially ordered metric spaces via implicit relation ⋮ Unnamed Item ⋮ Some ordered fixed point results and the property (P) ⋮ Generalized altering distances and common fixed points in ordered metric spaces ⋮ Common fixed point results for mappings under nonlinear contraction of cyclic form in ordered metric spaces ⋮ Results on \(n\)-tupled fixed points in complete asymptotically regular metric spaces ⋮ Common fixed point theorems for four mappings through generalized altering distances in ordered metric spaces ⋮ Coincidence point results via generalized (ψ,ϕ)-weak contractions in partial ordered b-metric spaces with application ⋮ Some coincidence point results in ordered \(b\)-metric spaces and applications in a system of integral equations ⋮ Shorter proofs of some recent even-tupled coincidence theorems for weak contractions in ordered metric spaces ⋮ Almost contractive coupled mapping in ordered complete metric spaces ⋮ Some common fixed point results in ordered partial b-metric spaces ⋮ Fixed point theorems for monotone operators and applications to nonlinear elliptic problems ⋮ Fixed points of some new contractions on intuitionistic fuzzy metric spaces ⋮ Common fixed points of almost generalized \((\psi,\phi)_s\)-contractive mappings in ordered \(b\)-metric spaces ⋮ Theorems for Boyd-Wong-type contractions in ordered metric spaces ⋮ A global optimality result using nonself mappings ⋮ Generalized \(n\)-tupled fixed point theorems for nonlinear contractions ⋮ Common fixed point theorems under weakly Hardy-Rogers-type contraction conditions in ordered orbitally complete metric spaces ⋮ Generalized nonexpansive mappings in ordered metric spaces and their (common) fixed points with applications ⋮ Multivalued weak cyclic \(\delta \)-contraction mappings ⋮ Common fixed point theorems under implicit relations on ordered metric spaces and application to integral equations ⋮ Some existence of coincidence point and approximate solution method for generalizedweak contraction in b-generalized pseudodistance fiunctionsy ⋮ Fixed points of weakly compatible mappings satisfying generalized \(\varphi\)-weak contractions ⋮ On some fixed-point theorems for \(\psi\)-contraction on metric space involving a graph

Cites Work

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