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