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Zbl 0988.47034
Xu, Hong-Kun
Multivalued nonexpansive mappings in Banach spaces. (English)
[J] Nonlinear Anal., Theory Methods Appl. 43, No.6, A, 693-706 (2001). ISSN 0362-546X

Using the technique of asymptotic centers a few fixed point theorems are proved for nonexpansive multivalued mappings acting from a nonempty closed bounded convex subset $E$ of a Banach space $X$ into the family of nonempty compact convex subsets of $X$. It is assumed that considered mappings satisfy an extra condition expressed in terms of the so-called inwardness.
[J.Banaś (Rzeszów)]

MSC 2000:: *47H09 Mappings defined by "shrinking" properties
47H04 Set-valued operators
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: asymptotic centers; fixed point theorems; nonexpansive multivalued mappings; inwardness

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