New types of \(F_c\)-contractions and the fixed-circle problem

DOI10.3390/math6100188zbMath1515.54034OpenAlexW2895768238WikidataQ129142762 ScholiaQ129142762MaRDI QIDQ6162005

Nihal Yilmaz Özgür, Nihal Taş, Nabil Mlaiki

Publication date: 15 June 2023

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6100188

zbMATH Keywords

fixed circleChatterjea-type \(F_c\)-contractionĆirić-type \(F_c\)-contractionHardy-Rogers-type \(F_c\)-contractionReich-type \(F_c\)-contraction

Mathematics Subject Classification ID

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

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Cites Work

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• A remark on discontinuity at fixed point
• Fixed points of a new type of contractive mappings in complete metric spaces
• Banach contraction principle for cyclical mappings on partial metric spaces
• Generalizations of metric spaces: from the fixed-point theory to the fixed-circle theory
• Contraction conditions using comparison functions on \(b\)-metric spaces
• Some fixed-circle theorems on metric spaces
• On common fixed points for α−F -contractions and applications
• Fixed point results for F-contractive mappings of Hardy-Rogers-type
• Ciric type generalized F-contractions on completemetric spaces and fixed point results

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