Accession Number:

ADA070202

Title:

Some Relations between Nonexpansive and Order Preserving Mappings.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1979-03-01

Pagination or Media Count:

12.0

Abstract:

It is shown that nonlinear operators which preserve the integral are order preserving if and only if they are nonexpansive in L1 and that those wich commute with translation by a constant are order preserving if and only if they are nonexpansive in Linfinity. Examples are presented and involving partial differential equations, difference approximations and rearrangements. Author

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE