Error bounds for vector-valued functions on metric spaces

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.

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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/

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