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Properties of fixed point set of a multivalued map

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  • Abdul Rahim Khan

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.

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  • Abdul Rahim Khan, 2005. "Properties of fixed point set of a multivalued map," International Journal of Stochastic Analysis, Hindawi, vol. 2005, pages 1-9, January.
    • Handle: RePEc:hin:jnijsa:298259
    DOI: 10.1155/JAMSA.2005.323
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    Cited by:

    1. Oyetunbi, Dolapo Muhammed & Khan, Abdul Rahim, 2021. "Approximating common endpoints of multivalued generalized nonexpansive mappings in hyperbolic spaces," Applied Mathematics and Computation, Elsevier, vol. 392(C).

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