Kybernetika 61 no. 2, 221-237, 2025

Optimality conditions for an interval-valued vector problem

Ashish Kumar Prasad, Julie Khatri and Izhar AhmadDOI: 10.14736/kyb-2025-2-0221

Abstract:

The present article considers a nonsmooth interval-valued vector optimization problem with inequality constraints. We first figure out Fritz John and Karush--Kuhn--Tucker type necessary optimality conditions for the interval-valued problem designed in the paper under quasidifferentiable $\mathfrak{F}$-convexity in connection with compact convex sets. Subsequently, sufficient optimality conditions are extrapolated under aforesaid quasidifferentiability supported by a suitable numerical example.

Keywords:

interval-valued vector optimization problem, LU-Pareto optimality, quasidifferentiable $\mathfrak {F}$-convexity,

Classification:

49J52, 90C26, 90C30, 90C29

paper.pdf

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