Multiobjective Problems: Enhanced Necessary Conditions and New Constraint Qualifications through Convexificators

被引：10

作者：

Hejazi, Mansoureh Alavi ^{[1
]}

Movahedian, Nooshin ^{[1
]}

Nobakhtian, Soghra ^{[1
,2
]}

机构：

[1] Univ Isfahan, Dept Math, Esfahan 8174673441, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran 193955746, Iran

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2018年 / 39卷 / 01期

关键词：

Constraint qualification; convexificator; multiobjective optimization problem; necessary optimality condition; nonsmooth analysis; pseudo-differential; KUHN-TUCKER CONDITION; OPTIMIZATION; MULTIPLIERS; OPTIMALITY;

D O I：

10.1080/01630563.2017.1351455

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study necessary optimality conditions for local Pareto and weak Pareto solutions of multiobjective problems involving inequality and equality constraints in terms of convexificators. We develop the enhanced Karush-Kuhn-Tucker conditions and introduce the associated pseudonormality and quasinormality conditions. We also introduce several other new constraint qualifications which entirely depend on the feasible set. Then a connecting link between these constraint qualifications is presented. Moreover, we provide several examples that clarify the interrelations between the different results that we have established.

引用

页码：11 / 37

页数：27

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