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

Ljubomir B. ฤ†iriฤ‡, Nebojลกa Nikoliฤ‡ ยท Georgian Mathematical Journal ยท 2008

Abstract Let (๐‘‹, ๐‘‘) be a convex metric space, ๐ถ be a closed and convex subset of ๐‘‹ and let ๐ต(๐ถ) be the family of all nonempty bounded subsets of ๐ถ. In this paper some results are obtained on the convergence of the Ishikawa iterates associated with a pair of multi-valued mappings ๐‘†,๐‘‡ : ๐ถ โ†’ ๐ต(๐ถ) which satisfy condition (2.1) below.

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