Fixed point theory of cyclic operators

DOI10.1007/s11784-022-00996-zOpenAlexW4309636582MaRDI QIDQ2106886

Ioan A. Rus, Madalina Păcurar

Publication date: 29 November 2022

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

Full work available at URL: https://doi.org/10.1007/s11784-022-00996-z

zbMATH Keywords

fixed pointPicard operatoropen problemcyclic generalized contractioncyclic increasing operatorcyclic progressive operator

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15) Other classical set theory (including functions, relations, and set algebra) (03E20)

Cites Work

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• Fixed point theory for cyclic \(\varphi\)-contractions
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• Fixed Point Theory in Ordered Sets and Applications
• Set-theoretical aspect of the fixed point theory: some examples
• Conversions between generalized metric spaces and standard metric spaces with applications in fixed point theory
• The Relevance of a Metric Condition on a Pair of Operators in Common Fixed Point Theory
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• Generic Well-posedness of the Fixed Point Problem for Monotone Nonexpansive Mappings
• Mathematical Analysis and Applications
• Zone and double zone diagrams in abstract spaces
• Some Results on Fixed Points--II
• Some Remarks Concerning Contraction Mappings
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