Accession Number:

AD0611405

Title:

STABILITY AND ASYMPTOTIC FIXED POINT THEORY,

Descriptive Note:

Corporate Author:

MARYLAND UNIV COLLEGE PARK INST FOR FLUID DYNAMICS AND APPLIED MATHEMATICS

Personal Author(s):

Report Date:

1965-02-01

Pagination or Media Count:

16.0

Abstract:

An asymptotic fixed point theorem is developed as a generalization of the Schauder fixed point theorem which states if S is a closed convex subset of a Banach space X, every continuous compact mapping of S into itself has a fixed point. When it is difficult or impossible to identify a set S with appropriate properties and such that TS is a subset of S and when the functional equation exhibits strong asymptotic or stability properties as the independent variable becomes very large, then the asymptotic fixed point theory is needed.

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE