| Issue |
RAIRO-Oper. Res.
Volume 58, Number 6, November-December 2024
|
|
|---|---|---|
| Page(s) | 4701 - 4716 | |
| DOI | https://doi.org/10.1051/ro/2024163 | |
| Published online | 05 November 2024 | |
On multiobjective fractional programs with vanishing constraints
1
Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi 221005, India
2
Department of Mathematics, University of Central Florida, Orlando, USA
* Corresponding author: Ram.Mohapatra@ucf.edu
Received:
15
October
2023
Accepted:
11
August
2024
The aim of this article is to combine the study of fractional programming and mathematical programs with vanishing constraints for the first time in literature. This paper deals with multiobjective fractional programs with vanishing constraints (MFPVC) involving continuously differentiable functions. Necessary and sufficient optimality conditions are derived for a feasible point to be an efficient (or local efficient) solution of the (MFPVC). A parametric dual model has been formulated and duality results are established with the primal (MFPVC).
Mathematics Subject Classification: 90C29 / 90C34 / 90C46
Key words: Fractional programming / multiobjective optimization / vanishing constraints / generalized convexity / optimality conditions / duality results
© The authors. Published by EDP Sciences, ROADEF, SMAI 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.