Accession Number:

AD0744055

Title:

A Generalized Contraction Mapping Theorem in E-Metric Spaces,

Descriptive Note:

Corporate Author:

TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS

Personal Author(s):

• Daniel,James W.

Report Date:

1972-06-01

Pagination or Media Count:

9.0

Abstract:

The paper addresses itself to general theorems on the convergence of a sequence generated via x sub n1 Fx sub n to a fixed point of the operator F the best known such theorem is the so-called contraction mapping theorem of Banach. Here the author proves two main theorems which include as special cases many previous generalizations of Banachs theorem. Author

Descriptors:

• (*FUNCTIONAL ANALYSIS
• MAPPING(TRANSFORMATIONS))
• VECTOR SPACES
• ITERATIONS
• SEQUENCES(MATHEMATICS)
• CONVERGENCE
• NONLINEAR SYSTEMS
• INEQUALITIES
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE