ISSN:
1436-4646
Keywords:
Quasi-Convex Functions
;
Duality
;
Lagrangians
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract This paper describes a symmetric duality relation for quasi-convex programs. We are able to strengthen previous results and to define necessary and sufficient conditions for the absence of duality gap. In the present scheme one can generate quasi-convex quasi-concave Lagrangians and discuss the correspondence between saddle points of the Lagrangians and the solutions to the dual and primal programs. The present scheme is very similar to Rockafellar's scheme for convex programs and in this sense it may be viewed as a unified approach. Several examples are also given.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01582050
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