# 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

# Descriptors:

# Subject Categories:

- Theoretical Mathematics