| Issue |
RAIRO-Oper. Res.
Volume 57, Number 5, September-October 2023
|
|
|---|---|---|
| Page(s) | 2833 - 2851 | |
| DOI | https://doi.org/10.1051/ro/2023133 | |
| Published online | 31 October 2023 | |
On preinvex interval-valued functions and unconstrained interval-valued optimization problems
1
School of Mathematics, Hohai University, Nanjing 210098, P.R. China
2
School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, P.R. China
* Corresponding author: liuwhhu@163.com
Received:
26
September
2022
Accepted:
1
September
2023
The main objective of this paper is to investigate the generalized convexity of interval-valued functions under the total order relation and apply it to a class of unconstrained interval-valued optimization problems. For this purpose, we present the new definition of preinvex interval-valued functions and obtain its several fascinating characterizations. Then, we introduce the ⪯cw-semicontinuity and discuss its relationship with preinvex interval-valued functions. As applications related to preinvex interval-valued functions, we study a class of unconstrained interval-valued optimization problems and discuss the existence theorem of its optimal solution.
Mathematics Subject Classification: 52A01 / 46N10 / 65K10
Key words: Interval-valued function / preinvexity / ⪯cw-semicontinuity / interval-valued optimization
© The authors. Published by EDP Sciences, ROADEF, SMAI 2023
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.