Converses to fixed point theorems of Zermelo and Caristi

DOI10.1016/S0362-546X(02)00177-3zbMath1030.54033MaRDI QIDQ1863615

Jacek R. Jachymski

Publication date: 11 March 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

partial orderingself mapperiodic and fixed pointsZermelo fixed point theorem

Mathematics Subject Classification ID

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

Related Items (6)

Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings ⋮ Some fixed points theorems for multi-valued weakly uniform increasing operators ⋮ Remarks on Caristi's fixed point theorem and Kirk's problem ⋮ Fixed points and completeness in metric and generalized metric spaces ⋮ Fixed point theorems in partially ordered complete metric spaces ⋮ Unnamed Item

Cites Work

• Caristi's fixed point theorem and selections of set-valued contractions
• A short proof of the converse to the contraction principle and some related results
• On the converse of Banach "fixed-point principle"
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Equivalence of some contractivity properties over metrical structures
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