Approximate solutions in multiobjective interval-valued optimization problems: Existence theorems and optimality conditions
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910834517606400 |
|---|---|
| author | Zhang, Chuang-liang Liu, Yun-cheng Huang, Nan-jing |
| author_facet | Zhang, Chuang-liang Liu, Yun-cheng Huang, Nan-jing |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12506 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Approximate solutions in multiobjective interval-valued optimization problems: Existence theorems and optimality conditions Zhang, Chuang-liang Liu, Yun-cheng Huang, Nan-jing Optimization and Control 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. |
| title | Approximate solutions in multiobjective interval-valued optimization problems: Existence theorems and optimality conditions |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2502.12506 |