Accession Number:

AD0761870

Title:

The Contraction Mapping Fixed Point Theorem in Interval Analysis.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1973-05-01

Pagination or Media Count:

29.0

Abstract:

The fixed point equation X FX is considered in the set R of all real finite intervals. Despite the fact that R is not a linear space the contraction mapping fixed point theorem can be used in R. In the paper, four theorems give constructive ways of computing a fixed interval for a given function FX. One of them is a constructive realization of the Brouwer fixed point theorem. For the other three cases FX has to be a contraction mapping. Numerical examples are discussed and a Triplex-ALGOL 60 computer program is given. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE