论文信息 - Subdifferential calculus for a quasiconvex function with generator

Subdifferential calculus for a quasiconvex function with generator

Abstract Recently, we discussed optimality conditions for quasiconvex programming by introducing ‘Q-subdifferential’, which is a notion of differential of quasiconvex functions. In this paper, we investigate basic and fundamental properties of the Q-subdifferential. Especially, we show results of a chain rule for composition with non-decreasing functions, monotonicity of the Q-subdifferential, mean-value theorem, a sufficient condition for a global minimizer for quasiconvex programming, and the calculus of the Q-subdifferential of the supremum of quasiconvex functions.

Daishi Kuroiwa | Daishi Kuroiwa | Satoshi Suzuki | S. Suzuki

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