On a generalization of a Greguš fixed point theorem

DOI10.1023/A:1022870007274zbMath1079.47509OpenAlexW2589594134MaRDI QIDQ3366513

Ljubomir B. Ćirić

Publication date: 14 February 2006

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30575

zbMATH Keywords

fixed pointconvex metric spacenonexpansive type mapping

Mathematics Subject Classification ID

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

Related Items (10)

On Olaleru's open problem on Gregus fixed point theorem ⋮ Random fixed point theorems for Hardy-Rogers self-random operators with applications to random integral equations ⋮ Random fixed point theorem on a Ćirić-type contractive mapping and its consequence ⋮ Remarks on generalized contractions ⋮ Two generalizations of some fixed point theorems ⋮ Common fixed points in best approximation for Banach operator pairs with Ćirić type \(I\)-contractions ⋮ A counterexample to ``An extension of Gregus fixed point theorem ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed points of α-dominated mappings on dislocated quasi metric spaces

Cites Work

• On a fixed point theorem of Greguš
• Fixed point theorem of nonexpansive mappings in convex metric spaces
• A convexity in metric space and nonexpansive mappings. I.
• A Generalization of Banach's Contraction Principle
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