Common fixed point of a power graphic (F; fi)-contraction pair on partial b-metric spaces with application

DOI10.15388/NA.2017.5.6zbMath1420.54092OpenAlexW2793511543MaRDI QIDQ4968159

Ishak Altun, Varsha Chauhan, Deepak Singh

Publication date: 12 July 2019

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/na.2017.5.6

zbMATH Keywords

directed graphcommon fixed pointpartial \(b\)-metric spacepower graphic \((F,\psi)\)-contraction pair

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (7)

A unique approach to graph-based metric spaces with an application to rocket ascension ⋮ Graphical structure of extended \(b\)-metric spaces: an application to the transverse oscillations of a homogeneous bar ⋮ Solving Existence Problems via F-Reich Contraction ⋮ Common fixed-point theorems in the partial \(b\)-metric spaces and an application to the system of boundary value problems ⋮ Coincidence and common fixed point theorems for four mappings satisfying (αs, F)-contraction ⋮ Extraction new results of common fixed point theorems for \((T,\alpha_{s},f)\)-contraction of six mappings in a tripled \(b\)-metric space with an application of integral equations ⋮ Convergence theorems for generalized contractions and applications

Cites Work

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• Fixed points of a new type of contractive mappings in complete metric spaces
• Common fixed point of a power graphic contraction pair in partial metric spaces endowed with a graph
• Fixed point results for set-contractions on metric spaces with a directed graph
• Some common fixed point results in ordered partial b-metric spaces
• Some fixed point theorems concerning \(F\)-contraction in complete metric spaces
• Fixed points of \(F\)-weak contractions on complete metric spaces
• Partial b-metric spaces and fixed point theorems
• Some results of common fixed point for four self-maps satisfying a new Ψ -contractive condition in partial metric spaces
• α−ψ−φ -contractive mappings in ordered partial b-metric spaces
• Applications of fixed point results for cyclic Boyd-Wong type generalized F-psi-contractions to dynamic programming
• Multivalued F-contractions and related fixed point theorems with an application

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