OPTIMALITY CONDITIONS AND CONSTRAINT QUALIFICATIONS IN BANACH SPACE.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1970
- Accession Number
- AD0713220
Entities
People
- F. J. Gould
- Jon W. Tolle
Organizations
- University of North Carolina at Chapel Hill