摘要
研究了拟凸多目标优化问题近似弱有效解、近似有效解的最优性条件.首先,在已有拟凸函数次微分的基础上引进4种近似次微分的概念,并给出它们之间的关系.然后,将4种近似次微分的概念应用到拟凸多目标优化问题中,给出了拟凸多目标优化问题近似弱有效解和近似有效解的充分条件和必要条件,并给出实例加以说明.
In this paper, we study the optimality conditions of approximate weak efficient solutions and approximate efficient solutions for quasiconvex multiobjective optimization problems. We introduce four concepts of approximate subdifferentials based on the existing subdifferentials of quasiconvex function, and give the relationship among them. And then, we apply these concepts to the quasiconvex multiobjective optimization problems, derive the sufficient conditions and necessary conditions for the approximate weak efficient solutions and the approximate efficient solution, and give some examples to illustrate the main results.
引文
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