Invariant Means and Reversible Semigroup of Relatively Nonexpansive Mappings in Banach Spaces

Kyung Soo Kim

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

The purpose of this paper is to study modified Halpern type and Ishikawa type iteration for a semigroup of relatively nonexpansive mappings on a nonempty closed convex subset of a Banach space with respect to a sequence of asymptotically left invariant means defined on an appropriate invariant subspace of , where is a semigroup. We prove that, given some mild conditions, we can generate iterative sequences which converge strongly to a common element of the set of fixed points , where .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:694783

DOI: 10.1155/2014/694783

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