A general fixed point theorem for implicit cyclic multi-valued contraction mappings

DOI10.1515/amsil-2015-0009zbMath1369.54048OpenAlexW2210160639MaRDI QIDQ2363627

Valeriu Popa

Publication date: 25 July 2017

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/amsil-2015-0009

zbMATH Keywords

fixed pointimplicit relationmulti-valued functioncyclical contraction

Mathematics Subject Classification ID

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

Related Items (1)

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Cites Work

• Common fixed points for generalized \(\alpha\)-implicit contractions in partial metric spaces: consequences and application
• Implicit-relation-type cyclic contractive mappings and applications to integral equations
• Common fixed point theorem for cyclic generalized multi-valued contraction mappings
• Some fixed point theorems for weakly compatible mappings satisfying an implicit relation
• Some fixed point theorems on ordered metric spaces and application
• Fixed point theory for cyclic weak \(\phi\)-contraction
• A coupled coincidence point theorem in partially ordered metric spaces with an implicit relation
• Multi-valued contraction mappings
• Fixed point theory for cyclic \(\varphi\)-contractions
• Cyclic contractions and fixed point theorems
• SOME FIXED POINT THEOREMS FOR COMPATIBLE MAPPINGS SATISFYING AN IMPLICIT RELATION
• A GENERAL COINCIDENCE THEOREM FOR COMPATIBLE MULTIVALUED MAPPINGS SATISFYING AN IMPLICIT RELATION
• Some Remarks Concerning Contraction Mappings
• A Generalization of a Fixed Point Theorem of Reich
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