具有消失约束条件的准微分数学程序的沃尔夫类型对偶性

RAIRO - Operations Research Pub Date : 2024-05-24 DOI:10.1051/ro/2024115

Shashi Kant Mishra, Vandana Singh

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摘要

本文致力于研究非光滑情况下带消失约束的优化问题的对偶性结果。我们提出了沃尔夫型对偶，并建立了涉及准微分函数的有消失约束的数学程序的弱对偶、强对偶、收敛对偶、限制收敛对偶和严格收敛对偶结果。在关于凸紧凑集的无凸函数和严格无凸函数假设下

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Wolfe type duality on quasidifferentiable mathematical programs with vanishing constraints

This article is devoted to the study of duality results for optimization problems with vanishing constraints in nonsmooth case. We formulate Wolfe type dual and establish weak, strong, converse, restricted converse and strict converse duality results for mathematical programs with vanishing constraints involving quasidifferentiable functions. Under the assumption of invex and strictly invex functions with respect to a convex compact set

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RAIRO - Operations Research

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