ISSN:
1573-2878
Keywords:
Necessary conditions
;
mathematical programming
;
Banach spaces
;
optimization theorems
;
nonlinear programming
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper, necessary optimality conditions for nonlinear 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00935506
Permalink