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 Electronic Research Archive Article
PDF (536.5 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 optimality conditions and duality for multiobjective fractional optimization problem with vanishing constraints

Haijun Wang( ), Gege Kang, Ruifang Zhang
School of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, China
Show Author Information

Abstract

The aim of this paper is to investigate the optimality conditions for a class of nonsmooth multiobjective fractional optimization problems subject to vanishing constraints. In particular, necessary and sufficient conditions for (weak) Pareto solution are presented in terms of the Clark subdifferential. Furthermore, we construct Wolfe and Mond–Weir-type dual models and derive some duality theorems by using generalized quasiconvexity assumptions. Some examples to show the validity of our conclusions are provided.

Keywords

multiobjective fractional optimizationvanishing constraintlocally Lipschitz functionduality theorems

References

【1】
【1】
 
 
Crossref Google Scholar
Electronic Research Archive
Volume 32 Issue 8,
August 2024
Pages 5109-5126
DOI: 10.3934/era.2024235

{{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:
Wang H, Kang G, Zhang R. On optimality conditions and duality for multiobjective fractional optimization problem with vanishing constraints. Electronic Research Archive, 2024, 32(8): 5109-5126. https://doi.org/10.3934/era.2024235

382

Views

18

Downloads

1

Crossref

1

Web of Science

0

Scopus
Received: 03 June 2024
Revised: 19 August 2024
Accepted: 22 August 2024
Published: 27 August 2024
©2024 the Author(s), licensee AIMS Press.

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