Some theorems on fixed points in Lipschitz- and Kannan-type mappings

DOI10.1016/0022-247X(80)90135-3zbMath0448.47039MaRDI QIDQ1146873

B. B. Williams, A. A. Gillespie

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

uniform normal structureKannan type mappings, invariant subsetLipschitz type mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10)

Related Items

Reflexivity of a Banach Space with a Uniformly Normal Structure ⋮ Approximate fixed points of \(\alpha\)-nonexpansive mappings ⋮ On some fixed point theorems on uniformly convex Banach spaces ⋮ The fixed point theory for some generalized nonexpansive mappings ⋮ Global optimization of cyclic Kannan nonexpansive mappings in nonreflexive Banach spaces

Cites Work

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• Close-to-normal structure and its applications
• Normal structure in Banach spaces
• Fixed points and characterizations of certain maps
• Fixed point theorem for non-expansive mappings on banach spaces with uniformly normal structure
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Fixed Point Theorems in Reflexive Banach Spaces
• On Kannan Maps

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