Duality theorems for nonconvex optimization problems
- 1 January 1978
- journal article
- research article
- Published by Taylor & Francis in Mathematische Operationsforschung und Statistik. Series Optimization
- Vol. 9 (3) , 335-347
- https://doi.org/10.1080/02331937808842497
Abstract
The paper is dealt with duality theorems for a special class of nonconvex optimization problems. Thereby the Φ- conjugate functions (introduced by the authors in earlier papers) are used. The primal objective function contains a pair of functions f g - but in contrast to the problem of Fenchel not in terms of a difference. In proving duality theorems the separation of the sets epif and hypog is used essentiallyKeywords
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