A generalization on weak contractions in partially ordered \(b\)-metric spaces and its application to quadratic integral equations
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Publication:2262870
DOI10.1186/1029-242X-2014-355zbMath1347.54064WikidataQ59320670 ScholiaQ59320670MaRDI QIDQ2262870
Reza Allahyari, Reza Arab, Ali Shole Haghighi
Publication date: 16 March 2015
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
fixed pointintegral equationspartially ordered setcommon fixed pointcoincidence point\(b\)-metric space
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 (12)
Coupled fixed point theorems in complete metric spaces endowed with a directed graph and application ⋮ Some fixed point theorems in Menger PbM-spaces with an application ⋮ 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 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 ⋮ Some valid generalizations of Boyd and Wong inequality and \((\psi,\phi)\)-weak contraction in partially ordered \(b\)-metric spaces ⋮ Coincidence point results via generalized (ψ,ϕ)-weak contractions in partial ordered b-metric spaces with application ⋮ Some coincidence point results for T-contraction mappings on partially ordered b-metric spaces and applications to integral equations ⋮ 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
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