带交换约束的非光滑多目标半无限规划

Journal of Applied and Numerical Optimization Pub Date : 1900-01-01 DOI:10.23952/jano.5.2023.1.06

Mohsine Jennane, E. Kalmoun, L. Lafhim

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摘要

．本文建立了一类具有切换约束的非光滑多目标半无限规划问题的最优性条件。特别地，我们使用了一个替代问题和一个合适的约束条件，以Clarke子微分来表述必要的m平稳条件。此外，我们还证明了在不同情况下这些m平稳条件也是充分的。最后，给出了Wolfe型和Mond-Weir型的弱对偶性和强对偶性结果

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On nonsmooth multiobjective semi-infinite programming with switching constraints

. In this paper, we establish optimality conditions for a nonsmooth multiobjective semi-inﬁnite programming problem subject to switching constraints. In particular, we employ a surrogate problem and a suitable constraint qualiﬁcation to state necessary M-stationary conditions in terms of Clarke sub-differentials. Moreover, we demonstrate that in different cases these M-stationary conditions becomes sufﬁcient as well. Finally, we also present Weak and strong duality results of Wolfe an Mond-Weir types

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Journal of Applied and Numerical Optimization

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