Functions of convexity and dimension
Abstract
Two dual sequence functions describing some kind of local convexity and dimension of subspaces of linear metric spaces are introduced. It is shown that the functions give a useful tool in the investigations of fixed point properties of the Schauder type.
Keywords
the Schauder fixed point theorem; measure of convexity and dimension
References
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Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
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