Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844576 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 15 Pages |
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.
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Authors
Anthony To-Ming Lau, Hiromichi Miyake, Wataru Takahashi,