Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics

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Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 45
2012-03 発行

Quasiconvex duality theorems with quasiconjugates and generator

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This paper is based on the author's thesis, \On duality theorems for quasiconvex programming. In this paper, we investigate duality theorems for quasiconvex programming as generalizations of results in convex programming, and consists of three topics. The rst topic is about quasiconjugates and polar sets. The second is about three types of set containment characterizations. The third is about constraint qualications for Lagrange-type duality theorem in quasiconvex programming.