Abstract
In this article, we explore the concept of interval-valued nonsmooth optimization problems using r-invexity in relation to convex compact sets. For the selected nonsmooth interval-valued problem (IP), we derive necessary and sufficient optimality criteria. In addition to that, we establish various duality theorems under r-invex quasidifferentiable with respect to a convex compact set that is equal to the Minkowski sum of their subdifferentials and superdifferentials. We draft a numerical example to support the results obtained in this paper. It is important to note that the Lagrange multipliers are nonconstant for the considered problem.
| Original language | English |
|---|---|
| Pages (from-to) | 1-24 |
| Number of pages | 24 |
| Journal | Yugoslav Journal of Operations Research |
| DOIs | |
| State | Published - 29 Oct 2025 |
Bibliographical note
Publisher Copyright:© (2025), (Faculty of Organizational Sciences, University of Belgrade). All rights reserved.
Keywords
- Interval-valued optimization problem
- LU-optimal solution
- duality
- quasidifferentiable r-invex function
ASJC Scopus subject areas
- Mathematics (miscellaneous)
- Management Science and Operations Research
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