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Weak Convergence and Non-linear Ergodic Theorems for Reversible Semigroups of Non-Lipschitzian Mappings

✍ Scribed by Li Gang

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 177 KB
Volume: 206
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5237

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✦ Synopsis

Let G be a semitopological semigroup. Let C be a closed convex subset of a uniformly convex Banach space E with a Frechet differentiable norm and ᑮ s Ä 4 T:tg G be a continuous representation of G as asymptotically nonexpansive t Ž .

Ž . type mappings of C into itself such that the common fixed point set F ᑮ of ᑮ in C is nonempty. We prove in this paper that if G is right reversible, then for Ž . Ä Ž .