Some coincidence point results in ordered \(b\)-metric spaces and applications in a system of integral equations

DOI10.1016/j.amc.2013.10.043zbMath1354.45010OpenAlexW2065421932MaRDI QIDQ505815

Ishak Altun, Vahid Parvaneh, Jamal Rezaei Roshan

Publication date: 26 January 2017

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.10.043

zbMATH Keywords

common fixed pointordered metric space\(b\)-metric space

Mathematics Subject Classification ID

Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (42)

Remarks on some fixed point results in \(b\)-metric spaces ⋮ Suzuki's type fixed point theorems for generalized mappings in partial cone metric spaces over a solid cone ⋮ Common fixed points of ordered \(g\)-contractions in partially ordered metric spaces ⋮ Coincidence point theorems for generalized cyclic \((\kappa h,\varphi L)_s\)-weak contractions in partially ordered Menger PM-spaces ⋮ Some fixed point results on generalized metric spaces ⋮ Existence of a common solution for a system of nonlinear integral equations via fixed point methods in \(b\)-metric spaces ⋮ On some fixed point results for (\(s\), \(p\), \(\alpha\))-contractive mappings in \(b\)-metric-like spaces and applications to integral equations ⋮ Fixed point results of almost generalized \((\phi, \psi, \theta)_s\)-contractive mappings in ordered \(b\)-metric spaces ⋮ Coincidence point theorems for \((\alpha, \beta, \gamma)\)-contraction mappings in generalized metric spaces ⋮ Some fixed point results of \((\phi, \psi,\theta)\)-contractive mappings in ordered \(b\)-metric spaces ⋮ Fractals of generalized \(F\)-Hutchinson operator in \(b\)-metric spaces ⋮ PPF dependent fixed point theorems for \(\alpha_c\)-admissible rational type contractive mappings in Banach spaces ⋮ Related fixed point theorems in partially ordered \(b\)-metric spaces and applications to integral equations ⋮ An extension of Lakzian-Rhoades results in the structure of ordered b-metric spaces via \(wt\)-distance with an application ⋮ Fixed point results for generalized \((\psi, \phi)\)-weak contractions with an application to system of non-linear integral equations ⋮ Unnamed Item ⋮ Fixed point results of \((\phi,\psi)\)-weak contractions in ordered \(b\)-metric spaces ⋮ Iterated function systems consisting of generalized convex contractions in the framework of complete strong \(b\)-metric spaces ⋮ Some valid generalizations of Boyd and Wong inequality and \((\psi,\phi)\)-weak contraction in partially ordered \(b\)-metric spaces ⋮ Unnamed Item ⋮ Coupled and tripled coincidence point results with application to Fredholm integral equations ⋮ Common fixed points of α-dominated multivalued mappings on closed balls in a dislocated quasi b-metric space ⋮ Coincidence point results via generalized (ψ,ϕ)-weak contractions in partial ordered b-metric spaces with application ⋮ On multi-valued weak quasi-contractions in b-metric spaces ⋮ Unnamed Item ⋮ Remarks on cyclic contractions in \(b\)-metric spaces and applications to integral equations ⋮ Suzuki-type fixed point results in \(b\)-metric spaces ⋮ A generalization on weak contractions in partially ordered \(b\)-metric spaces and its application to quadratic integral equations ⋮ Coupled coincidence point results for a generalized compatible pair with applications ⋮ Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations ⋮ Some coincidence point results for T-contraction mappings on partially ordered b-metric spaces and applications to integral equations ⋮ Fixed point theorems for Geraghty contraction type mappings in \(b\)-metric spaces and applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed point results using weak \(\alpha_w\)-admissible mapping in \(G_b\)-metric spaces with applications ⋮ Coupled fixed point results for $alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications ⋮ Unnamed Item ⋮ Generalized contractive mappings and related results in \(b\)-metric like spaces with an application ⋮ 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 ⋮ Some existence of coincidence point and approximate solution method for generalizedweak contraction in b-generalized pseudodistance fiunctionsy ⋮ Common fixed point theorems for generalized expansive mappings in partial \(b\)-metric spaces and an application

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