On some fixed point theorems on uniformly convex Banach spaces

DOI10.1016/0022-247X(92)90243-7zbMath0780.47047MaRDI QIDQ1197441

P. Veeramani

Publication date: 16 January 1993

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

zbMATH Keywords

Zorn's lemma\(T\)-regularityweakly compact \(T\)-regular subset of a uniformly convex Banach space

Mathematics Subject Classification ID

Fixed-point theorems (47H10)

Related Items

Nonconvex proximal normal structure in convex metric spaces ⋮ Best Proximity Points and Fixed Point Results for Certain Maps in Banach Spaces ⋮ Common best proximity pairs in strictly convex Banach spaces ⋮ Fixed point theorems for strongly inward non-self mappings defined on non-convex domains ⋮ Fixed point theorems of nonexpansive mappings on weakly compact sets ⋮ Fixed point results for a generalized nonexpansive map in uniformly convex metric spaces ⋮ Unnamed Item ⋮ Non-convex proximal pair and relatively nonexpansive maps with respect to orbits ⋮ Study of minimal invariant pairs for relatively nonexpansive mappings with respect to orbits ⋮ Best Proximity Points

Cites Work

• Some theorems on fixed points in Lipschitz- and Kannan-type mappings
• On some fixed point theorems in Banach spaces
• An application of a fixed-point theorem to approximation theory
• Mean value iteration of nonexpansive mappings in a Banach space
• Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances