弱凸多目标规划问题的最优性条件

Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (5): 1060-1064.

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Optimality Conditions of Multiobjective ProgrammingProblems Based on Weakly Convex

WANG Cailing¹, GAO Huiyan²

1. College of Mathematics, Jilin University, Changchun 130012, China;2. Beijing Sinodata Technology Co., Ltd., Beijing 100091, China

Received:2019-04-17 Online:2019-09-26 Published:2019-09-19
Contact: WANG Cailing E-mail:wangcl@jlu.edu.cn

Abstract

Abstract: On the basis of a class of global optimality conditions, we used abstract subdifferential and abstract normal cone to study multiobjective programming problems, gave sufficient conditions for effective solutions of weakly convex multiobjective optimization problems, and extended the single objective optimization problem to multiobjective optimization problems.

Key words: weakly convex, optimality condition, subdifferential, multiobjective programming

CLC Number:

O221

WANG Cailing, GAO Huiyan. Optimality Conditions of Multiobjective ProgrammingProblems Based on Weakly Convex[J].Journal of Jilin University Science Edition, 2019, 57(5): 1060-1064.

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Optimality Conditions of Multiobjective ProgrammingProblems Based on Weakly Convex

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