Some Generalizations of Mulit-Valued Version of Schauder‘s Fixed Point Theorem with Applications
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Bapurao C. Dhage
bcdhage@yahoo.co.in
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https://doi.org/10.4067/S0719-06462010000300009Abstract
In this article, a generalization of a Kakutani-Fan fixed point theorem for multi-valued mappings in Banach spaces is proved under weaker upper semi-continuity condition and it is further applied to derive a generalized version of Krasnoselskii‘s fixed point theorem and some nonlinear alternatives of Leray-Schauder type for multi-valued closed mappings in Banach spaces.
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