Some Generalizations of Mulit-Valued Version of Schauder‘s Fixed Point Theorem with Applications

Bapurao C. Dhage

doi:10.4067/S0719-06462010000300009

Some Generalizations of Mulit-Valued Version of Schauder‘s Fixed Point Theorem with Applications

Authors

Bapurao C. Dhage Kasubai, Gurukul Colony, Ahmedpur – 413515, Distr. Latur, Maharashtra, India.

DOI:

https://doi.org/10.4067/S0719-06462010000300009

Keywords:

Multi-valued mappings, fixed point theorem, nonlinear alternative

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.

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Published

2010-10-01

How to Cite

[1]

B. C. Dhage, “Some Generalizations of Mulit-Valued Version of Schauder‘s Fixed Point Theorem with Applications”, CUBO, vol. 12, no. 3, pp. 139–151, Oct. 2010.