Thời gian: 9h, Thứ 4, ngày 13/5/2015

Địa điểm: Phòng số 4, nhà A14, Viện Toán học, 18 Hoàng Quốc Việt, Hà Nội

Tóm tắt: This paper establishes verifiable sufficient conditions for the existence of error bounds for the sub-level set of a difference function over an abstract constraint by applying a technique used by A. D. Ioffe. As a consequence, error bounds for constraint systems defined by d.c. inequalities and their applications in studying of exactness of the associated $ell_1$ penalty function and existence of Lagrange multipliers as necessary optimality conditions are also investigated.