Nonconvex Separation Theorem for Multifunctions, Subdifferential Calculus and Applications
Document Type
Article
Publication Date
2004
Abstract
We derive a nonconvex separation theorem for multifunctions that generalizes an early result of Borwein and Jofré 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
WMU ScholarWorks Citation
Zhu, Qiji Jim, "Nonconvex Separation Theorem for Multifunctions, Subdifferential Calculus and Applications" (2004). Math Faculty Publications. 28.
https://scholarworks.wmich.edu/math_pubs/28
Published Citation
Zhu, Q.J. Nonconvex Separation Theorem for Multifunctions, Subdifferential Calculus and Applications. Set-Valued Analysis 12, 275–290 (2004). https://doi.org/10.1023/B:SVAN.0000023401.51035.28