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.
@article{1396,
title = {Some Generalizations of Mulit-Valued Version of Schauder's Fixed Point Theorem with Applications},
journal = {CUBO, A Mathematical Journal},
volume = {12},
year = {2010},
language = {en},
url = {http://dml.mathdoc.fr/item/1396}
}
Dhage, Bapurao C. Some Generalizations of Mulit-Valued Version of Schauder’s Fixed Point Theorem with Applications. CUBO, A Mathematical Journal, Tome 12 (2010) . http://gdmltest.u-ga.fr/item/1396/