Multitime multiobjective variational problems and vector variational-like inequalities

被引：21

作者：

Jayswal, Anurag ^{[1
]}

Singh, Shipra ^{[1
]}

Kurdi, Alia ^{[2
]}

机构：

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

[2] Polytech Univ, Fac Sci Appl, Splaiul Independentei 313, Bucharest 060042, Romania

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2016年 / 254卷 / 03期

关键词：

Multiple objective programming; Multitime multiobjective variational problem; Vector variational-like inequalities; Invex functionals; Properly efficient solutions; OPTIMIZATION PROBLEMS; EXISTENCE; DUALITY; THEOREMS;

D O I：

10.1016/j.ejor.2016.05.006

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we introduce vector variational-like inequality with its weak formulation for multitime multiobjective variational problem. Moreover, we establish the relationships between the solutions of introduced inequalities and (properly) efficient solutions of multitime multiobjective variational problem, involving the invexities of multitime functionals. Some examples are provided to illustrate our results. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：739 / 745

页数：7

共 18 条

[1] Generalized Minty Vector Variational-Like Inequalities and Vector Optimization Problems [J].

Al-Homidan, S. ;

Ansari, Q. H. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2010, 144 (01) :1-11

[2] A necessary and sufficient condition for duality in multiobjective variational problems [J].

Arana-Jimenez, M. ;

Ruiz-Garzon, G. ;

Rufian-Lizana, A. ;

Osuna-Gomez, R. .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2010, 201 (03) :672-681

[3] ON THE EXISTENCE OF PARETO EFFICIENT POINTS [J].

BORWEIN, JM .

MATHEMATICS OF OPERATIONS RESEARCH, 1983, 8 (01) :64-73

[4]

Giannessi F., 1980, Variational Inequality and complementarity problems, P151

[5] Approximate convexity in vector optimisation [J].

Gupta, Anjana ;

Mehra, Aparna ;

Bhatia, Davinder .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 74 (02) :207-218

[6] ON SUFFICIENCY OF THE KUHN-TUCKER CONDITIONS [J].

HANSON, MA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (02) :545-550

[7] Exponential type vector variational-like inequalities and vector optimization problems with exponential type invexities [J].

Jayswal A. ;

Choudhury S. ;

Verma R.U. .

Journal of Applied Mathematics and Computing, 2014, 45 (1-2) :87-97

[8] Existence of solutions for vector optimization [J].

Kazmi, KR .

APPLIED MATHEMATICS LETTERS, 1996, 9 (06) :19-22

[9] Symmetric duality in multiobjective programming involving generalized cone-invex functions [J].

Khurana, S .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2005, 165 (03) :592-597

[10]

Kim Moon Hee, 2004, Journal of Applied Mathematics and Informatics, V16, P279

← 1 2 →