A fixed point theorem for non-self set-valued mappings

B. E. Rhoades

International Journal of Mathematics and Mathematical Sciences, 1997, vol. 20, 1-4

Abstract:

Let X be a complete, metrically convex metric space, K a closed convex subset of X , C B ( X ) the set of closed and bounded subsets of X . Let F : K → C B ( X ) satisfying definition (1) below, with the added condition that F x ⫅ K for each x ∈ ∂ K . Then F has a fixed point in K . This result is an extension to multivalued mappings of a result of Ćirić [1].

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:173816

DOI: 10.1155/S0161171297000021

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