Approximate Solutions for a Class of Multiobjective Interval-Valued Optimization Problems with Applications

Zhang, Chuang-liang

doi:10.1007/s10957-025-02897-w

Approximate Solutions for a Class of Multiobjective Interval-Valued Optimization Problems with Applications

2026-01-04

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DOI：10.1007/s10957-025-02897-w

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This paper is devoted to the study of approximate solutions for a class of multiobjective interval-valued optimization problems 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 of 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 nonsmooth function and to a multiobjective interval-valued variational problem.

Keywords:

Approximate solution

Multiobjective optimization

Interval-valued function

KKT optimality condition

Approximate KKT point

Approximate Solutions for a Class of Multiobjective Interval-Valued Optimization Problems with Applications

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