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

Downloads

DOI:

https://doi.org/10.4067/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.

Keywords

Multi-valued mappings , fixed point theorem , nonlinear alternative
  • Bapurao C. Dhage Kasubai, Gurukul Colony, Ahmedpur – 413515, Distr. Latur, Maharashtra, India.
  • Pages: 139–151
  • Date Published: 2010-10-01
  • Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal

Downloads

Download data is not yet available.

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.

Issue

Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal

Section

Articles