Properties of fixed point set of a multivalued map

Abdul Rahim Khan

International Journal of Stochastic Analysis, 2005, vol. 2005, 1-9

Abstract:

Properties of the set of fixed points of some discontinuous multivalued maps in a strictly convex Banach space are studied; in particular, affirmative answers are provided to the questions related to set of fixed points and posed by Ko in 1972 and Xu and Beg in 1998. A result regarding the existence of best approximation is derived.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:298259

DOI: 10.1155/JAMSA.2005.323

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