Unified approach to some geometric results in variational analysis
نویسندگان
چکیده
Based on a study of a minimization problem, we present the following results applicable to possibly nonconvex sets in a Banach space: an approximate projection result, an extended extremal principle, a nonconvex separation theorem, a generalized Bishop-Phelps theorem and a separable point result. The classical result of Dieudonné (on separation of two convex sets in a finite dimensional space) is also extended to a nonconvex setting.
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