Sentence examples for converse duality from inspiring English sources
Conversely, suppose that the stable converse duality holds between (P) and (D).
Theorem 3 (Converse duality).
(Strict converse duality theorem).
Theorem 3.3 (Strict converse duality).
The weak, strong and converse duality theorems are proved.
To study the converse duality and the stable converse duality between (P) and (D), we introduce the following regularity conditions.
In this section we give some weak, strong, converse duality relations between problems (D) and (FP).
Our main aim in the present paper is to give some new regularity conditions which completely characterize the strong dualities and the stable strong dualities between (P) and (D) and between ((tilde{P})) and (D), and provide sufficient and/or necessary conditions for the total duality, the converse dualities between (P) and (D).
Weak, strong, converse and self-duality relations were established under certain invexity assumptions.
Especially, Li et al. established in [2] the strong duality and the converse strong duality in the most general setting, that is, f and g are not necessary lower semicontinuous (lsc) and A is not necessary continuous.
