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Approximation of fixed points for amenable semigroups of nonexpansive mappings in Banach spaces |
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| Authors: | Anthony To-Ming Lau Hiromichi Miyake Wataru Takahashi |
| Institution: | 1. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G-2G1;2. Department of Mathematical and Computing Sciences, Graduate School of Information Science and Engineering, Tokyo Institute of Technology, Okayama 2-12-1, Meguroku, Tokyo 152-8552, Japan |
| Abstract: | The purpose of this paper is to study iterative schemes of Browder and Halpern types for a semigroup of nonexpansive mappings on a compact convex subset of a smooth (and strictly convex) Banach space with respect to a sequence of strongly asymptotic invariant means defined on an appropriate space of bounded real valued functions of the semigroup. Various applications to the additive semigroup of nonnegative real numbers and commuting pairs of nonexpansive mappings are also presented. |
| Keywords: | primary 47A10 secondary 43A07 43A60 |
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