In this paper, we attempt to extend the definition and existing local error bound criteria to vector-valued functions, or more generally, to functions taking values in a normed linear space. Some new primal space derivative-like objects — slopes — are introduced and a classification scheme of error bound criteria is presented.
Citation
Published in Vietnam Journal of Mathematics 40:2&3(2012) 165-180. The original publication is available at http://www.math.ac.vn/publications/vjm/