Using the concept of Clarke tangent cone, a new notion of proper Clarke epiderivative for a set-valued map is introduced. Its nature and certain properties are investigated. Finally necessary and sufficient optimality conditions for a constrained set-valued optimization problem have been established in terms of proper Clarke epiderivative.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.