Measure of nonhyperconvexity and fixed‐point theorems

Dariusz Bugajewski and Rafael Espínola

Abstract and Applied Analysis, 2003, vol. 2003, issue 2, 111-119

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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https://doi.org/10.1155/S1085337503205017

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2003:y:2003:i:2:p:111-119

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