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Optimality conditions for an interval-valued vector problem

Ashish Kumar PrasadJulie KhatriIzhar Ahmad — 2025

Kybernetika

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 𝔉 -convexity in connection with compact convex sets. Subsequently, sufficient optimality conditions are extrapolated under aforesaid quasidifferentiability supported by a suitable numerical example.

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