Measure of nonhyperconvexity and fixed-point theorems

Dariusz Bugajewski and Rafael Espínola

Abstract and Applied Analysis, 2003, vol. 2003, 1-9

Abstract:

The aim of this paper is to work with the measure of nonhyperconvexity in a similar way as J. Cano (1990) does with the index of nonconvexity. We apply this measure to obtain different extensions of the famous Schauder fixed-point theorem in hyperconvex spaces.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:935975

DOI: 10.1155/S1085337503205017

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