Approximate solutions in multiobjective interval-valued optimization problems: Existence theorems and optimality conditions
Optimization and Control
2025-02-19 v1
Abstract
This paper is devoted to the study of approximate solutions for a multiobjective interval-valued optimization problem based on an interval order. We establish new existence theorems of approximate solutions for such a problem under some mild conditions. Moreover, we give KKT optimality conditions for approximate solutions for such a problem whose associated functions are nonsmooth and nonconvex. We also propose the approximate KKT optimality condition of an approximate solution for such a problem. Finally, we apply some obtained results to a noncooperative game involving the multiobjective interval-valued function.
Cite
@article{arxiv.2502.12506,
title = {Approximate solutions in multiobjective interval-valued optimization problems: Existence theorems and optimality conditions},
author = {Chuang-liang Zhang and Yun-cheng Liu and Nan-jing Huang},
journal= {arXiv preprint arXiv:2502.12506},
year = {2025}
}