On a fixed point theorem of Greguš

DOI10.1155/S0161171286000030zbMath0597.47036OpenAlexW2000217633MaRDI QIDQ1079169

Brian Fisher, Salvatore Sessa

Publication date: 1986

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46091

zbMATH Keywords

unique common fixed pointweakly-commuting mappings of a closed convex subset

Mathematics Subject Classification ID

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

Related Items (14)

A new class of nonexpansive type mappings and fixed points ⋮ On Olaleru's open problem on Gregus fixed point theorem ⋮ Common fixed point theorems of Greguš type \((\phi, \psi)\)-weak contraction for \(R\)-weakly commuting mappings in 2-metric spaces ⋮ Random fixed point theorem on a Ćirić-type contractive mapping and its consequence ⋮ Two generalizations of some fixed point theorems ⋮ Common fixed points and invariant approximation for Gregus type contraction mappings ⋮ Common fixed points in best approximation for Banach operator pairs with Ćirić type \(I\)-contractions ⋮ Common fixed point theorems for (sub) compatible and set-valued generalized nonexpansive mappings in complete convex metric spaces ⋮ A counterexample to ``An extension of Gregus fixed point theorem ⋮ Unnamed Item ⋮ Common Fixed Point and Invariant Approximation Results for Gregus TypeI-Contractions ⋮ On a generalization of a Greguš fixed point theorem ⋮ Compatible mappings of type (B) and common fixed point theorems of Greguš type ⋮ Compatible mappings of type (B) and common fixed point theorems in Saks spaces

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