STABILITY AND ASYMPTOTIC FIXED POINT THEORY,

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 T(S) 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.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1965
Accession Number
AD0611405

Entities

People

  • G. Stephen Jones

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Equations
  • Functional Analysis
  • Mathematics
  • Point Theorem

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Linear Algebra

Technology Areas

  • Space