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

被引：4
|
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.
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收藏
页数：14
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