OPTIMALITY CONDITIONS AND CONSTRAINT QUALIFICATIONS IN BANACH SPACE.
NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS
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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
- Operations Research