Kasimbeyli̇, Refail2023-06-162023-06-1620090233-19341029-4945https://doi.org/10.1080/02331930902928310https://hdl.handle.net/20.500.14365/1597In this article we study some important properties of the radial epiderivatives for single-valued and set-valued maps. The relationships between this kind of a derivative and weak subdifferentials and directional derivatives in the single-valued non-convex case has been established. For optimization problems with a single-valued and a set-valued objective function, necessary and sufficient optimality conditions based on the concept of the radial epiderivatives are proved without convexity conditions.eninfo:eu-repo/semantics/closedAccessset-valued optimizationsingle-valued optimizationnon-convex analysisweak subdifferentialsradial epiderivativesoptimality conditionsNonconvex Vector OptimizationOptimality ConditionsProper EfficiencyArticle10.1080/023319309029283102-s2.0-70449377596