本文对拟凸多目标优化问题的严格解进行研究。利用拟凸次微分给出拟凸优化问题严格解的最优性必要条件。首先,引进拟凸函数次微分的基本概念和严格解的概念。然后,将拟凸函数次微分的概念应用到拟凸优化问题中,给出拟凸优化问题严格解的最优性必要条件。
In this paper, we study the necessary conditions of strict solutions for quasiconvex optimization problems by using the subdifferential of quasiconvex function. Firstly, we introduce the basic concepts of quasiconvex optimization problem. Then, we derive the necessary conditions of the strict solutions for quasiconvex optimization problems.
李林廷,杨 铭,高 英. 拟凸优化问题严格解的最优性必要条件Necessary Optimality Conditions of Strict Solutions for Quasiconvex Optimization Problems[J]. 应用数学进展, 2019, 08(03): 400-406. https://doi.org/10.12677/AAM.2019.83045
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