Some Pareto optimality results for nonsmooth multiobjective optimization problems with equilibrium constraints

被引：4

作者：

Ardali, Ali Ansari ^{[1
]}

Zeinali, Maryam ^{[2
]}

Shirdel, Gholam Hasan ^{[2
]}

机构：

[1] Shahrekord Univ, Fac Math Sci, Dept Appl Math, POB 115, Shahrekord 8818634141, Iran

[2] Univ Qom, Fac Sci, Dept Math, Qom, Iran

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2022年 / 13卷 / 02期

关键词：

Equilibrium Constraints; Pareto Optimality; Constraint Qualifications; Upper Convexificator; Nonsmooth Optimization; MATHEMATICAL PROGRAMS;

D O I：

10.22075/ijnaa.2022.25146.2928

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the nonsmooth multiobjective optimization problems with equilibrium constraints (MOMPEC). First, we extend the Guignard constraint qualification for MOMPEC, and then more constraint qualifications are developed. Also, the relationships between them are investigated. Moreover, we introduce the notion of primal Pareto stationarity and some dual Pareto stationarity concepts for a feasible point of MOMPEC. Some necessary optimality conditions are derived for any Pareto optimality solution of MOMPEC under weak assumptions. Indeed, we just need the objective functions to be locally Lipschitz. Further, we indicate our defined Pareto stationarity concepts are also sufficient conditions under the generalized convexity requirements.

引用

页码：2185 / 2196

页数：12

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