Electronic Resource
Springer
Journal of optimization theory and applications
67 (1990), S. 395-410
ISSN:
1573-2878
Keywords:
Convex programming
;
Lagrange multipliers
;
subdifferentiability
;
positive cones
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this note, we present a condition which is equivalent to the existence of the Lagrange multiplier for the general convex programming problem. This condition enables one to study a hypothesis distinct from the one of nonempty interior of the positive cone of the space of restrictions that is commonly used. Simple examples of this condition are given. We also explore the relationship of this condition with the subdifferentiability of the primal functional.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00940482
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