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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