Kybernetika 61 no. 5, 688-711, 2025

Optimality conditions for interval-valued vector equilibrium problems

Ashish Kumar Prasad, Julie Khatri and Izhar AhmadDOI: 10.14736/kyb-2025-5-0688

Abstract:

In the article, one formulates Fritz John type and Karush--Kuhn--Tucker type necessary conditions for an interval-valued vector equilibrium problem having a locally LU-efficient solution, where convexificators demonstrate the solutions that are regular. Sufficient conditions for a locally weak LU-efficient solution have been entrenched by imposing appropriate assumptions along with generalized convexity. Some applications are presented for a constrained interval-valued vector variational inequality and a constrained interval-valued vector optimization problem.

Keywords:

interval-valued vector equilibrium problem, locally LU-efficient solution, optimality, convexificators

Classification:

49J52, 91B50, 90C46

paper.pdf

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