Abstract
In this chapter, a pair of nondifferentiable multiobjective symmetric fractional duality models with cone function are formulated in a vector optimization problem, where each component of the objective function contains support function of a compact convex set. The K- $$(C, \rho )$$ -convexity and K- $$(C, \rho )$$ -quasiconvexity functions are defined, and also, we constructed concrete numerical examples for existing such type of function. The duality results are established using these aforesaid assumptions.
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