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

Mathematics

SyedShakaib Irfan¹  Iqbal Ahmad¹  Saddam Husain²  Rais Ahmad²  Mijanur Rahaman² 

[1] College of Engineering, Qassim University, Buraidah 51452, Al-Qassim, Saudi Arabia;Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India;

关键词: vector variational-like inequalities;    vector optimization problems;    limiting (p,r)-α-(η,θ)-invexity;    Lipschitz continuity;    Fan-KKM theorem;   

DOI  :  10.3390/math7040345

来源: DOAJ

【 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.

【 授权许可】

Unknown