Optimality conditions for bilevel optimization problems with interval-valued functions via approximations
Abstract
This paper investigates the necessary optimality conditions for a multiobjective bilevel optimization problem in which both the upper- and lower-level objective functions are interval-valued. By reformulating the hierarchical model into a single-level problem through optimal value reformulation, we derive Karush-Kuhn-Tucker-type optimality conditions under an appropriate nonsmooth Abadie-type constraint qualification, expressed in terms of approximations. Examples are provided to demonstrate the applicability of our findings and to underscore the limitations of certain previously published results.
Fields of Study & Subjects
Optimization and Variational Analysis
Advanced Optimization Algorithms Research
Optimization and Mathematical Programming
Publication details
- Journal / source
- Optimization
- Volume
- 75
- Issue
- 13
- Pages
- 3473–3494
- Publication date
- 9 January 2026
- Language
- EN