DID YOU KNOW? DTIC has over 3.5 million final reports on DoD funded research, development, test, and evaluation activities available to our registered users. Click HERE
to register or log in.
Measures of Noncompactness and Fixed Points of Random Operations.
ATLANTA UNIV GA DEPT OF MATHEMATICAL AND COMPUTER SCIENCES
Pagination or Media Count:
The purpose of this paper is to consider some measures of noncompactness and their application to fixed point theorems for random operators. In a subsequent paper we will consider applications of these results to random operator equations. This paper is not the first to consider measures of noncompactness in probabilistic analysis. We refer to the book of Constantin and Istratescu for results on measures of noncompactness and probabilistic metric spaces. Section 2 gives some basic definitions of measures of noncompactness, and lists their properties. Section 3 is devoted to applications of measures of noncompactness to fixed point theorems for random operators. Keywords include Operators Mathematics, Probability, Noncompactness.
APPROVED FOR PUBLIC RELEASE