Abstract
In this paper, we study duality theorems for quasiconvex programming with a reverse quasiconvex constraint. We introduce quasiaffine transformation methods for a reverse quasiconvex constraint. Especially, we show a linear characterization of a reverse quasiconvex constraint. By using transformation methods, we show necessary optimality conditions in terms of Greenberg-Pierskalla subdifferential. In addition, we introduce a surrogate duality theorem for quasiconvex programming with a reverse quasiconvex constraint.
Citation
Satoshi Suzuki. "Duality Theorems for Quasiconvex Programming with a Reverse Quasiconvex Constraint." Taiwanese J. Math. 21 (2) 489 - 503, 2017. https://doi.org/10.11650/tjm/7256
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