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

Kyung Soo Kim

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: The purpose of this paper is to study modified Halpern type and Ishikawa type iteration for a semigroup of relatively nonexpansive mappings I={T(s):s∈S} on a nonempty closed convex subset C of a Banach space with respect to a sequence of asymptotically left invariant means {μn} defined on an appropriate invariant subspace of l∞(S), where S 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 F(I), where F(I)=⋂{F(T(s)):s∈S}.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/694783

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:694783

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().