Generalized Nonsmooth Exponential-Type Vector Variational-Like Inequalities and Nonsmooth Vector Optimization Problems in Asplund Spaces

被引：3

作者：

Irfan, Syed Shakaib ^{[1
]}

Rahaman, Mijanur ^{[2
]}

Ahmad, Iqbal ^{[1
]}

Ahmad, Rais ^{[2
]}

Husain, Saddam ^{[2
]}

机构：

[1] Qassim Univ, Coll Engn, Buraydah 51452, Al Qassim, Saudi Arabia

[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

MATHEMATICS | 2019年 / 7卷 / 04期

关键词：

vector variational-like inequalities; vector optimization problems; limiting (p; r)--(; )-invexity; Lipschitz continuity; Fan-KKM theorem;

D O I：

10.3390/math7040345

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this article is to study new types of generalized nonsmooth exponential type vector variational-like inequality problems involving Mordukhovich limiting subdifferential operator. We establish some relationships between generalized nonsmooth exponential type vector variational-like inequality problems and vector optimization problems under some invexity assumptions. The celebrated Fan-KKM theorem is used to obtain the existence of solution of generalized nonsmooth exponential-type vector variational like inequality problems. In support of our main result, some examples are given. Our results presented in this article improve, extend, and generalize some known results offer in the literature.

引用

页数：11

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