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Fixed points and selections of set-valued maps on spaces with convexity

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  • Peter Saveliev

Abstract

We provide theorems extending both Kakutani and Browder fixed points theorems for multivalued maps on topological vector spaces, as well as some selection theorems. For this purpose we introduce convex structures more general than those of locally convex and non-locally convex topological vector spaces or generalized convexity structures due to Michael, van de Vel, and Horvath.

Suggested Citation

  • Peter Saveliev, 2000. "Fixed points and selections of set-valued maps on spaces with convexity," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 24, pages 1-18, January.
    • Handle: RePEc:hin:jijmms:760607
    DOI: 10.1155/S0161171200004403
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    Cited by:

    1. Sadeqi, I. & Solaty kia, F., 2009. "Some fixed point theorems in fuzzy reflexive Banach spaces," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2606-2612.

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