Optimization Online


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

Modify/Update this entry

  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository


Coordinator's Board
Classification Scheme
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society