论文标题
在抽象凸度的框架内复合优化问题的二元性
Duality for Composite Optimization Problem within the Framework of Abstract Convexity
论文作者
论文摘要
我们在抽象凸度的框架内研究共轭和拉格朗日二重性，以解决复合优化问题。我们为偶联二元性提供零二元性差距的条件。对于Lagrange双重性，相交属性用于获得零偶性间隙。也建立了拉格朗日双重与共轭双重之间的连接。给出了与凸面和弱凸功能有关的示例。
We study conjugate and Lagrange dualities for composite optimization problems within the framework of abstract convexity. We provide conditions for zero duality gap in conjugate duality. For Lagrange duality, intersection property is applied to obtain zero duality gap. Connection between Lagrange dual and conjugate dual is also established. Examples related to convex and weakly convex functions are given.
