Multivalued nonexpansive mappings and Opial’s condition

Author:

Lami Dozo E.

Abstract

We give relations between a condition introduced by Z. Opial which characterizes weak limits by means of the norm in some Banach spaces and approximations of the identity, in particular for systems of projections. Finally a fixed point theorem for multivalued nonexpansive mappings in a Banach space satisfying this condition is proved; this result generalizes those of J. Markin and F. Browder.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

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5. Some geometric properties related to the fixed point theory for nonexpansive mappings;Gossez, J.-P.;Pacific J. Math.,1972

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