Approximation and fixed point theorems for countable condensing composite maps

DOI10.1017/S0004972700037515zbMath1052.47065MaRDI QIDQ4470034

Naseer Shahzad, Donal O'Regan

Publication date: 22 June 2004

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

zbMATH Keywords

countably condensing maps in normed spacesKy Fan type approximation theorem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (6)

Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices ⋮ The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces ⋮ Approximate Fixed Point Theory for Countably Condensing Maps and Multimaps and Applications ⋮ The best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spaces ⋮ Fixed point and approximation results for multimaps in S-KKM class. ⋮ Random and deterministic fixed point and approximation results for countably 1-set-contractive multimaps

Cites Work

• Multivalued maps and the existence of best approximants
• Some properties of convex sets related to fixed point theorems
• A theorem on the minimization of a condensing multifunction and fixed points
• Applications of the proximity map to fixed point theorems in Hilbert space
• Approximation theorems and fixed point theorems for multivalued condensing mappings in wedges
• Approximate selections, best approximations, fixed points, and invariant sets
• Approximation and fixed-point theorems for condensing composites of multifunctions
• Stability analysis of large scale integrodifferential systems
• Extensions of two fixed point theorems of F. E. Browder
• On a Minimax Inequality of KY Fan
• A Generalization to Multifunctions of Fan's Best Approximation Theorem
• Approximations and Fixed Points for Condensing Non-Self-Maps Defined on a Sphere
• A Note on a Theorem of Ky Fan
• Some Fixed Point Theorems for Composites of Acyclic Maps
• A Unified Fixed Point Theory for Countably P -Concentrative Multimaps
• Approximation theorems and fixed point theorems for various classes of 1-set-contractive mappings in Banach spaces

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