Fixed points of an F-contraction on metric spaces with a graph

DOI10.1080/00207160.2014.887700zbMath1310.54037OpenAlexW2129830228MaRDI QIDQ5175472

Sachin Vashistha, Rakesh Batra

Publication date: 23 February 2015

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2014.887700

zbMATH Keywords

fixed pointconnected graphPicard operatorF-contractionF-G-contractionG-contraction

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Connectivity (05C40)

Related Items (16)

Some fixed point theorems for multivalued mappings concerning \(F\)-contractions ⋮ Edge theoretic extended contractions and their applications ⋮ \(F\)-contraction via (CLR)-property and application to integral equations ⋮ New fixed point theorems for generalized \(F\)-contractions in complete metric spaces ⋮ Extensions of almost-\(F\) and \(F\)-Suzuki contractions with graph and some applications to fractional calculus ⋮ A survey: \(F\)-contractions with related fixed point results ⋮ A Coupled Random Fixed Point Result With Application in Polish Spaces ⋮ Hybrid fixed point theorem with applications to forced damped oscillations and infinite systems of fractional order differential equations ⋮ Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem ⋮ A new generalization of $\alpha$-type almost-$F$-contractions and $\alpha$-type $F$-Suzuki contractions in metric spaces and their fixed point theorems ⋮ Unnamed Item ⋮ Wardowski's contraction and fixed point technique for solving systems of functional and integral equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some coincidence and periodic points results in a metric space endowed with a graph and applications ⋮ Coincidence of multivalued mappings on metric spaces with a graph

Cites Work

• Fixed points of a new type of contractive mappings in complete metric spaces
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Fixed point theorems in partially ordered metric spaces and applications
• 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
• Fixed point theorems in ordered 𝐿-spaces

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