Accession Number : AD0713220

Title :   OPTIMALITY CONDITIONS AND CONSTRAINT QUALIFICATIONS IN BANACH SPACE.

Descriptive Note : Technical rept.,

Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Gould,F. J. ; Tolle,Jon W.

Report Date : AUG 1970

Pagination or Media Count : 23

Abstract : Necessary optimality conditions for non-linear programs in Banach spaces and constraint qualifications for their applicability are considered. A new optimality condition is introduced and a constraint qualification ensuring the validity of this condition is given. When the domain space is a reflexive space, it is shown that the qualification is the weakest possible. If a certain convexity assumption is made, then this optimality condition is shown to reduce to the well-known extension of the Kuhn-Tucker conditions to Banach spaces. In this case the constraint qualification is weaker than those previously given. (Author)

Descriptors :   (*NONLINEAR PROGRAMMING, BANACH SPACE), CONVEX SETS, HILBERT SPACE, TOPOLOGY, OPTIMIZATION, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE