Fixed points of (\({\psi,\phi,\theta}\))-contractive mappings in partially ordered b-metric spaces and application to quadratic integral equations

DOI10.1186/1687-1812-2013-245zbMath1469.54037OpenAlexW2140706778WikidataQ59294984 ScholiaQ59294984MaRDI QIDQ401914

Reza Arab, Asadollah Aghajani

Publication date: 27 August 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-245

zbMATH Keywords

partially ordered setcoupled fixed pointcoupled coincidence point\(b\)-metric spacecoupled common fixed pointmixed \(g\)-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) Special maps on metric spaces (54E40)

Related Items (14)

Fixed point results of almost generalized \((\phi, \psi, \theta)_s\)-contractive mappings in ordered \(b\)-metric spaces ⋮ Some fixed point results of \((\phi, \psi,\theta)\)-contractive mappings in ordered \(b\)-metric spaces ⋮ Related fixed point theorems in partially ordered \(b\)-metric spaces and applications to integral equations ⋮ Fixed point results for generalized \((\psi, \phi)\)-weak contractions with an application to system of non-linear integral equations ⋮ Fixed point results for an almost generalized \(\alpha \)-admissible \(Z\)-contraction in the setting of partially ordered b-metric spaces ⋮ Fixed point results of \((\phi,\psi)\)-weak contractions in ordered \(b\)-metric spaces ⋮ Remarks on cyclic contractions in \(b\)-metric spaces and applications to integral equations ⋮ Unnamed Item ⋮ A generalization on weak contractions in partially ordered \(b\)-metric spaces and its application to quadratic integral equations ⋮ Unnamed Item ⋮ Some coincidence point results for T-contraction mappings on partially ordered b-metric spaces and applications to integral equations ⋮ SOME FIXED POINT THEOREMS FOR GENERALIZED $\alpha$-GERAGHTY CONTRACTION TYPE MAPPINGS IN $B$-METRIC~SPACES AND SOME APPLICATIONS TO THE NONLINEAR INTEGRAL EQUATION ⋮ On some recent coincidence and immediate consequences in partially ordered \(b\)-metric spaces ⋮ Coupled fixed points theorems for generalized weak contractions in ordered b-metric spaces

Cites Work

• Coupled coincidence point theorems for contractions without commutative condition in intuitionistic fuzzy normed spaces
• Coupled fixed point of generalized contractive mappings on partially ordered \(G\)-metric spaces
• A fixed point theorem for set-valued quasi-contractions in \(b\)-metric spaces
• Suzuki-type fixed point results in metric type spaces
• Coupled fixed point theorems in cone metric spaces with a \(c\)-distance and applications
• Coupled coincidence point and common coupled fixed point theorems lacking the mixed monotone property
• Some coupled common fixed points for a pair of mappings in partially ordered \(G\)-metric spaces
• Equivalent conditions for generalized contractions on (ordered) metric spaces
• Weak condition for generalized multi-valued \((f,\alpha ,\beta )\)-weak contraction mappings
• Fixed point theorems for mixed monotone operators and applications to integral equations
• Coupled coincidence point theorems in ordered metric spaces
• Common fixed point theorem for hybrid generalized multi-valued contraction mappings
• KKM mappings in cone \(b\)-metric spaces
• Multivalued fractals in \(b\)-metric spaces
• Common coupled fixed point theorems in cone metric spaces for \(w\)-compatible mappings
• Common fixed point theorem for cyclic generalized multi-valued contraction mappings
• Some coincidence theorems and stability of iterative procedures
• Remarks on cone metric spaces and fixed point theorems of contractive 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
• Fixed point theorems in partially ordered metric spaces and applications
• Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces
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