Nonconvex separation theorem for multifunctions,
subdifferential calculus and applications

Q. J. Zhu

Abstract: We derive a nonconvex separation theorem for multifunctions that generalizes an early result of Borwein and Jofr\'e and show that this result is equivalent to several other subdifferential calculus results in smooth Banach spaces. Then we apply this nonconvex separation theorem to improve a second welfare theorem in economics and a necessary optimality condition for a multi-objective optimization problem.


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