
Accession Number : AD0744055
Title : A Generalized Contraction Mapping Theorem in EMetric 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 socalled 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