Optimality Conditions for Quasiconvex Programming in Terms of Quasiconjugate Functions
Keywords:
Quasiconvex programming, optimality condition, quasiconjugate function, subdifferen tial.Abstract
Westudy optimality conditions for quasiconvex programming in terms of quasiconjugate functions. By using Q-conjugate, we show a necessary and sufficient optimality condition for quasiconvex programming. Additionally, by using H-quasiconjugate, O-uasiconjugate, and R-quasiconjugate, we introduce optimality conditions for some kind of evenly quasiconvex objective functions. We investigate evenly convex sets and evenly quasiconvex functions, and continuity of quasiconvex functions.
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