Unified approach to some geometric results in variational analysis

Abstract

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.

Cite this paper

@inproceedings{Li2007UnifiedAT, title={Unified approach to some geometric results in variational analysis}, author={Guoyin Li and Kung Fu Ng and Xi Yin Zheng and Boris S. Mordukhovich}, year={2007} }