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

Autor:	Syed Shakaib Irfan, Mijanur Rahaman, Iqbal Ahmad, Rais Ahmad, Saddam Husain
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	vector variational-like inequalities vector optimization problems limiting (p r)-α-(η θ)-invexity Lipschitz continuity Fan-KKM theorem Mathematics QA1-939
Zdroj:	Mathematics, Vol 7, Iss 4, p 345 (2019)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math7040345
Popis:	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.
Databáze:	Directory of Open Access Journals
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