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Cubo (Temuco)

versión On-line ISSN 0719-0646


DHAGE, BAPURAO C. Some Generalizations of Mulit-Valued Version of Schauder’s Fixed Point Theorem with Applications. Cubo [online]. 2010, vol.12, n.3, pp. 139-151. ISSN 0719-0646.

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.

Palabras clave : Multi-valued mappings; fixed point theorem; nonlinear alternative.

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