The Contraction Mapping Fixed Point Theorem in Interval Analysis.
Abstract
The fixed point equation X = F(X) 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 F(X). One of them is a constructive realization of the Brouwer fixed point theorem. For the other three cases F(X) has to be a contraction mapping. Numerical examples are discussed and a Triplex-ALGOL 60 computer program is given. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1973
- Accession Number
- AD0761870
Entities
People
- K. L. Nickel
Organizations
- University of Wisconsin–Madison