AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (236.1 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

On approximate vector variational inequalities and vector optimization problem using convexificator

Faizan A. Khan1( ), Rohit K. Bhardwaj2, Tirth Ram2( ), Mohammed A. S. Tom1,3
Computational & Analytical Mathematics and their Applications Research Group, Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Kingdom of Saudi Arabia
Department of Mathematics, University of Jammu, Jammu 180006, India
Department of Mathematics, University of Bahri, Khartoum 11111, Sudan
Show Author Information

Abstract

In the present article, we study a vector optimization problem involving convexificator-based locally Lipschitz approximately convex functions and give some ideas for approximate efficient solutions. In terms of the convexificator, we approximate Stampacchia-Minty type vector variational inequalities and use them to describe an approximately efficient solution to the nonsmooth vector optimization problem. Moreover, we give a numerical example that attests to the credibility of our results.

Keywords

approximate efficient solutionsconvexificatornonsmooth vector optimization problemvector variational inequality
CLC number: 58E17, 49J40, 49J52

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 10,
October 2022
Pages 18870-18882
DOI: 10.3934/math.20221039

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Khan FA, Bhardwaj RK, Ram T, et al. On approximate vector variational inequalities and vector optimization problem using convexificator. AIMS Mathematics, 2022, 7(10): 18870-18882. https://doi.org/10.3934/math.20221039

78

Views

0

Downloads

1

Crossref

3

Web of Science

4

Scopus
Received: 31 May 2022
Revised: 05 August 2022
Accepted: 07 August 2022
Published: 15 October 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)