A class of generalized invex functions and vector variational-like inequalities

被引：6

作者：

Li, Ru ^{[1
]}

Yu, Guolin ^{[1
]}

机构：

[1] Beifang Univ Nationalities, Inst Appl Math, Ningxia 750021, Yinchuan, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年

关键词：

vector variational-like inequality; multi-objective programming; invex function; KKM-Fan theorem;

D O I：

10.1186/s13660-017-1345-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of generalized invex functions, called (a,.,.)-invex functions, is introduced, and some examples are presented to illustrate their existence. Then we consider the relationships of solutions between two types of vector variational-like inequalities and multi-objective programming problem. Finally, the existence results for the discussed variational-like inequalities are proposed by using the KKM-Fan theorem.

引用

页数：14

共 21 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]

Al-Homidan S, 2012, VECTOR OPTIM, P221, DOI 10.1007/978-3-642-21114-0_7

[3] RELATIONS BETWEEN GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES AND VECTOR OPTIMIZATION PROBLEMS [J].

Al-Homidan, Suliman ;

Ansari, Qamrul Hasan .

TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (03) :987-998

[4] Existence results for Stampacchia and Minty type vector variational inequalities [J].

Ansari, Qamrul Hasan ;

Rezaei, Mahboubeh .

OPTIMIZATION, 2010, 59 (07) :1053-1065

[5] Existence theorems for generalized vector variational inequalities with a variable ordering relation [J].

Ceng, Lu-Chuan ;

Huang, Shuechin .

JOURNAL OF GLOBAL OPTIMIZATION, 2010, 46 (04) :521-535

[6]

Dai ZF, 2016, J COMPUT ANAL APPL, V20, P237

[7] A modified Perry's conjugate gradient method-based derivative-free method for solving large-scale nonlinear monotone equations [J].

Dai, Zhifeng ;

Chen, Xiaohong ;

Wen, Fenghua .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 270 :378-386

[8]

Dos Santos Batista LB, 2008, COMPUT MATH APPL, V55, P1808

[9] Vector variational-like inequality problem and vector optimization problem [J].

Farajzadeh, A. P. ;

Lee, B. S. .

APPLIED MATHEMATICS LETTERS, 2010, 23 (01) :48-52

[10]

Giannessi F, 1998, APPL OPTIMIZAT, V13, P93

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