Optimality conditions for an interval-valued vector problem

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.