Accession Number : AD0744055

Title :   A Generalized Contraction Mapping Theorem in E-Metric Spaces,

Corporate Author : TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS

Personal Author(s) : Daniel,James W.

Report Date : JUN 1972

Pagination or Media Count : 9

Abstract : The paper addresses itself to general theorems on the convergence of a sequence generated via (x sub (n+1)) = F(x 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 Banach's 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