The fixed point problem for generalised nonexpansive maps

DOI10.1017/S0004972700030525zbMath0893.47038MaRDI QIDQ4346939

Michael A. Smyth

Publication date: 5 August 1997

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

normal structureexistence of fixed pointsgeneralized nonexpansive maps

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (6)

On the asymptotics of (c)-mapping iterations ⋮ Some fixed point results for \((c)\)-mappings in Banach spaces ⋮ Improvement of fixed point theorems for Hardy-Rogers contraction type in \(b\)-metric spaces without \(F\)-contraction assumption ⋮ Fixed point results for generalized nonexpansive and Suzuki mappings with application in \(L^1 (\Omega, \Sigma, \mu)\) ⋮ The fixed point property for some generalized nonexpansive mappings and renormings ⋮ Some new fixed point theorems for nonexpansive-type mappings in geodesic spaces

Cites Work

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• Unconditional bases and fixed points of nonexpansive mappings
• Geometry of Banach spaces. Selected topics
• Existence of fixed points of nonexpansive mappings in a space without normal structure
• Close-to-normal structure and its applications
• A Fixed Point Free Nonexpansive Map
• A Generalization of a Fixed Point Theorem of Goebel, Kirk and Shimi
• Dispersed Images of Topological Spaces and Uncomplemented Subspaces of C(X)

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