MULTIOBJECTIVE VARIATIONAL PROBLEMS AND GENERALIZED VECTOR VARIATIONAL-TYPE INEQUALITIES

被引：3

作者：

Jayswal, Anurag ^{[1
]}

Singh, Shipra ^{[1
]}

机构：

[1] Indian Sch Mines, Dept Appl Math, Dhanbad 826004, Bihar, India

来源：

RAIRO-OPERATIONS RESEARCH | 2017年 / 51卷 / 01期

关键词：

Multiobjective variational problem; generalized Minty vector variational-type inequality; generalized Stampacchia vector variational-type inequality; strongly convex functional; strongly preconvex functional; OPTIMIZATION PROBLEMS; INVEX FUNCTIONS; DUALITY;

D O I：

10.1051/ro/2016017

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The purpose of this paper is to generalize the vector variational-type inequalities, formulated by Kim [J. Appl. Math. Comput. 16 (2004) 279-287], by setting the norms into Minty and Stampacchia forms. We also demonstrate the relationships between these generalized inequalities and multiobjective variational problems, by using the notions of strongly convex functionals. The theoretical developments are illustrated through numerical examples.

引用

页码：211 / 225

页数：15

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