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Convergence of the Ishikawa Iterates for Multi-Valued Mappings in Convex Metric Spaces

Convergence of the Ishikawa Iterates for Multi-Valued Mappings in Convex Metric Spaces Let (𝑋, 𝑑) be a convex metric space, 𝐶 be a closed and convex subset of 𝑋 and let 𝐵(𝐶) be the family of all nonempty bounded subsets of 𝐶. In this paper some results are obtained on the convergence of the Ishikawa iterates associated with a pair of multi-valued mappings 𝑆,𝑇 : 𝐶 → 𝐵(𝐶) which satisfy condition (2.1) below. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Convergence of the Ishikawa Iterates for Multi-Valued Mappings in Convex Metric Spaces

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References (14)

Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2008.39
Publisher site
See Article on Publisher Site

Abstract

Let (𝑋, 𝑑) be a convex metric space, 𝐶 be a closed and convex subset of 𝑋 and let 𝐵(𝐶) be the family of all nonempty bounded subsets of 𝐶. In this paper some results are obtained on the convergence of the Ishikawa iterates associated with a pair of multi-valued mappings 𝑆,𝑇 : 𝐶 → 𝐵(𝐶) which satisfy condition (2.1) below.

Journal

Georgian Mathematical Journalde Gruyter

Published: Mar 1, 2008

Keywords: Convex metric space; multi-valued mapping; Ishikawa iterates; convergent sequence; common stationary point

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