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Fixed point properties for semigroup of nonexpansive mappings on Fréchet spaces
Authors:Anthony To-Ming Lau  Wataru Takahashi
Affiliation:1. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G-2G1;2. Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo, 152-8552, Japan
Abstract:In this paper, we shall establish a fixed point property on Fréchet spaces for left reversible semitopological semigroups generalizing some classical results.
Keywords:Common fixed point   Nonexpansive mapping   Left reversible semigroup   Frechet space   Enveloping semigroup
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