-

 

 

 




Optimization Online





 

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

Modify/Update this entry


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

 

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