Coupled fixed point results for (varphi,G)-contractions of type (b) in b-metric spaces endowed with a graph

DOI10.22436/jnsa.010.02.29zbMath1412.47108OpenAlexW2591154222MaRDI QIDQ4631882

Gabriela Petrusel, Cristian Chifu

Publication date: 23 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.02.29

zbMATH Keywords

fixed pointconnected graphcoupled fixed point\(b\)-metric space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (7)

Existence, data-dependence and stability of coupled fixed point sets of some multivalued operators ⋮ A multivalued fixed point result with associated data dependece and stability study ⋮ Existence, error estimation, rate of convergence, Ulam-Hyers stability, well-posedness and limit shadowing property related to a fixed point problem ⋮ Existence, data dependence and stability of fixed points of multivalued maps in incomplete metric spaces ⋮ Existence, uniqueness and well-posedness results for relation theoretic coupled fixed points problem using \(\mathbf{C}\)-class function with some consequences and an application ⋮ Existence, well-posedness of coupled fixed points and application to nonlinear integral equations ⋮ Existence, uniqueness, Ulam–Hyers–Rassias stability, well-posedness and data dependence property related to a fixed point problem in gamma-complete metric spaces with application to integral equations

Cites Work

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• Fixed points for multivalued mappings in \(b\)-metric spaces
• Fixed point theorems in ordered abstract spaces
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• The contraction principle for mappings on a metric space with a graph

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