An observation on \(F\)-weak contractions and discontinuity at the fixed point with an application

DOI10.1007/s11784-020-00801-9OpenAlexW3042637314MaRDI QIDQ2195608

Waleed M. Alfaqih, Rqeeb Gubran, Mohammad Imdad

Publication date: 27 August 2020

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-020-00801-9

zbMATH Keywords

integral equationfixed point\(F\)-contraction\(F\)-weak contractiondiscontinuity at the fixed point

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (4)

Solution of fractional integral equations via fixed point results ⋮ New contributions to fixed point techniques with applications for solving fractional and differential equations ⋮ Unnamed Item ⋮ An overview of the emergence of weaker continuity notions, various classes of contractive mappings and related fixed point theorems

Cites Work

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• Fixed points of a new type of contractive mappings in complete metric spaces
• Discussion on generalized-\((\alpha\psi,\beta\phi)\)-contractive mappings via generalized altering distance function and related fixed point theorems
• Discontinuity and fixed points
• Some fixed point theorems concerning \(F\)-contraction in complete metric spaces
• Weak \(F\)-contractions and some fixed point results
• Fixed points of \(F\)-weak contractions on complete metric spaces
• Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations
• FIXED POINTS OF ORDERED F-CONTRACTIONS
• A Comparison of Various Definitions of Contractive Mappings

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