FIXED POINTS OF NONEXPANSIVE MAPS ON LOCALLY CONVEX SPACES

  • Ling, Joseph M. (DEPARTMENT OF MATHEMATICS AND STATISTICS, THE UNIVERSITY OF CALGARY)
  • Published : 2000.02.01

Abstract

In this article we study the relation between subinvariant submean and normal structure in a locally convex topological vector space. This extends in a natural way a result obtained recently by Lau and Takahashi. Our approach also follows closely theirs.

Keywords

References

  1. Proc. Amer. Math. Soc. v.104 Nonexpansive actions of topological semigroups on strictly convex Banach space and fixed points W. Bartoszek
  2. Illinois J. Math. v.11 Nonexpansive mapping and fixed points in Banach spaces L.P.Belluce;W.A.Kirk
  3. Math. Z v.68 Existence theorems and extreme solutions for inequalities concerning convex K. Fan
  4. Topics on weakly almost periodic function R.Hsu
  5. J. of Func. Anal. v.142 no.1 Invariant submeans and semigroups of nonexpansive mappings on Banach space with normal structure A. Lau;W.Takahashi
  6. Proc. Amer. Math. Soc. v.43 Characterization of normal structure T. C. Lim