Existence of a common solution for a system of nonlinear integral equations via fixed point methods in \(b\)-metric spaces

DOI10.1515/math-2016-0010zbMathNoneOpenAlexW2331106590MaRDI QIDQ317841

Wutiphol Sintunavarat, Oratai Yamaod, Yeol Je Cho

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2016-0010

zbMATH Keywords

integral equationscoincidence pointscommon fixed points\(b\)-metric spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (13)

On some fixed point results for (\(s\), \(p\), \(\alpha\))-contractive mappings in \(b\)-metric-like spaces and applications to integral equations ⋮ A fixed point theorem for set-valued quasi-contractions in \(b\)-metric space of zero at infinity varieties ⋮ Common fixed points via implicit contractions on b-metric-like spaces ⋮ A sharp generalization on cone b-metric space over Banach algebra ⋮ Fixed point theorems in \(b\)-metric spaces and their applications to non-linear fractional differential and integral equations ⋮ Fixed point theorems in \(b\)-metric spaces with applications to differential equations ⋮ Fixed point theorems for C-class functions in b-metric spaces and applications ⋮ Generalized JS-Contractions in b-Metric Spaces with Application to Urysohn Integral Equations ⋮ Common fixed point theorem via cyclic \((\alpha,\beta)-(\psi,\varphi)_S\)-contraction with applications ⋮ Unnamed Item ⋮ Some modified fixed point results in \(V\)-fuzzy metric spaces ⋮ Unnamed Item ⋮ Generalized contractive mappings and related results in \(b\)-metric like spaces with an application

Cites Work

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• Compatible mapping and common fixed points
• Some theorems on weakly contractive maps.
• Some geometric properties of generalized modular sequence space derived by the generalized de la Vallée-Poussin mean
• Fixed points of weak contractions in cone metric spaces
• Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces
• Fixed point theorems by altering distances between the points

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