Citation
Verma, Mansi and Chen, Chuei Yee and Kilicman, Adem and Ibragimov, Gafurjan and Lim, Fong Peng
(2022)
Sufficient conditions for the existence and uniqueness of minimizers for variational problems under uncertainty.
Mathematics, 10 (19).
art. no. 3638.
pp. 1-15.
ISSN 2227-7390
Abstract
Fuzzy variational problems have received significant attention over the past decade due to a number of successful applications in fields such as optimal control theory and image segmentation. Current literature on fuzzy variational problems focuses on the necessary optimality conditions for finding the extrema, which have been studied under several differentiability conditions. In this study, we establish the sufficient conditions for the existence of minimizers for fuzzy variational problems under a weaker notion of convexity, namely preinvexity and Buckley–Feuring differentiability. We further discuss their application in a cost minimization problem.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.3390/math10193638 |
| Publisher: | Multidisciplinary Digital Publishing Institute |
| Keywords: | Fuzzy variational problem; Existence of minimizer; Sufficient conditions; Invex sets; Preinvex functions |
| Depositing User: | Ms. Nuraida Ibrahim |
| Date Deposited: | 16 Jun 2023 07:56 |
| Last Modified: | 16 Jun 2023 07:56 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/math10193638 |
| URI: | http://psasir.upm.edu.my/id/eprint/103353 |
| Statistic Details: | View Download Statistic |
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