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Keywords:
interval-valued vector optimization problem; quasidifferentiable $\mathfrak {F}$-convexity; LU-Pareto optimality
interval-valued vector optimization problem; quasidifferentiable $\mathfrak {F}$-convexity; LU-Pareto optimality
Summary:
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.
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