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Error bounds for vector-valued functions on metric spaces

Ewa M. Bednarczuk (Ewa.Bednarczuk***at***ibspan.waw.pl)
Alexander Y. Kruger (a.kruger***at***ballarat.edu.au)

Abstract: 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.

Keywords: variational analysis, error bounds, slope, vector variational principle

Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Category 2: Other Topics (Multi-Criteria Optimization )

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/

Download: [PDF]

Entry Submitted: 12/19/2011
Entry Accepted: 12/19/2011
Entry Last Modified: 11/12/2012

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