Interval valued vector variational inequalities and vector optimization problems via convexificators. (English) Zbl 07843630
Summary: In this study, we take into account interval-valued vector optimization problems (IVOP) and obtain their relationships to interval vector variational inequalities (IVVI) of Stampacchia and Minty kind in aspects of convexificators, as well as the (IVOP) LU-efficient solution under the LU-convexity assumption. Additionally, we examine the weak version of the (IVVI) of the Stampacchia and Minty kind and determine the relationships between them and the weakly LU-efficient solution of the (IVOP). The results of this study improve and generalizes certain earlier results from the literature.
MSC:
| 49J40 | Variational inequalities |
| 49J52 | Nonsmooth analysis |
| 58E17 | Multiobjective variational problems, Pareto optimality, applications to economics, etc. |
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