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Error bounds for vector-valued functions: necessary and sufficient conditions

Ewa Bednarczuk (Ewa.Bednarczuk***at***ibspan.waw.pl)
Alexander 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 derivative-like objects (slopes and subdifferentials) are introduced and a general classification scheme of error bound criteria is presented.

Keywords: variational analysis, error bounds, subdifferential, slope

Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Citation: Published in Nonlinear Analysis. Theory, Methods & Applications 75 (2012), no. 3, 1124-1140. The original publication is available at http://www.sciencedirect.com/science/publication?issn=0362546X&volume=75&issue=3

Download: [PDF]

Entry Submitted: 01/21/2011
Entry Accepted: 01/21/2011
Entry Last Modified: 12/19/2011

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