Fixed point for F⊥-weak contraction

DOI10.5937/MatMor2101113GzbMath1474.54156OpenAlexW3155883314MaRDI QIDQ4992554

Neeraj Garakoti, Rohit Kumar, Mahesh Chandra Joshi

Publication date: 9 June 2021

Published in: Mathematica Moravica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5937/matmor2101113g

zbMATH Keywords

orthogonal metric space\(F_\perp\)-contraction\(F_\perp\)-weak contraction

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

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Cites Work

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• Orthogonal sets: the axiom of choice and proof of a fixed point theorem
• Fixed points of a new type of contractive mappings in complete metric spaces
• Fixed point theorems for orthogonal \(F\)-contraction mappings on \(O\)-complete metric spaces
• Fixed point theorems via generalized \(F\)-contractions with applications to functional equations occurring in dynamic programming
• Fixed points of \(F\)-weak contractions on complete metric spaces
• On orthogonal sets and Banach fixed point theorem
• Modified F-contractions via α-admissible mappings and application to integral equations
• New type of multivalued F-contraction involving fixed points on closed ball

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