FIXED POINTS OF ANALYTIC FUNCTIONS

Abstract

A continuous mapping of a simply connected, closed, bounded set of the Euclidean plane into itself is known to have at least one fixed point. It is shown that the usual condition for the fixed point to be unique, and for convergence of the iteration sequence to the fixed point, can be relaxed if the mapping is defined by an analytic function of a complex variable.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1969
Accession Number
AD0698801

Entities

People

  • Peter Henrici

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Analytic Functions
  • Complex Variables
  • Computer Science
  • Convergence
  • Economic Development
  • Equations
  • Iterations
  • Military Research
  • New York
  • Security
  • Sequences
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Regression Analysis.