Some Generalizations of Mulit-Valued Version of Schauder’s Fixed Point Theorem with Applications
Author
Dhage, Bapurao C.
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/139610.4067/S0719-06462010000300009
Abstract
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.