Skip to main content

Advertisement

Springer Nature Link
Log in

A nonconvex separation property in Banach spaces

  • Published:
Mathematical Methods of Operations Research Aims and scope Submit manuscript

Abstract.

We establish, in infinite dimensional Banach space, a nonconvex separation property for general closed sets that is an extension of Hahn-Banach separation theorem. We provide some consequences in optimization, in particular the existence of singular multipliers and show the relation of our property with the extremal principle of Mordukhovich.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. CECM, Department of Mathematics and Statistics, Simon Fraser University, Burnaby, BC V5A 1S6, Canada (e-mail: jborwein@cecm.sfu.ca), , , , , , CA

    Jonathan M. Borwein

  2. Departamento de Ingeniería Matemática Universidad de Chile, Casilla 170, correo 3, Santiago, Chile (e-mail: ajofre@dim.uchile.cl), , , , , , CL

    Alejandro Jofré

Authors
  1. Jonathan M. Borwein
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Alejandro Jofré
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received October 1997/Revised version February 1998

Rights and permissions

Reprints and permissions

About this article

Cite this article

Borwein, J., Jofré, A. A nonconvex separation property in Banach spaces. Mathematical Methods of OR 48, 169–179 (1998). https://doi.org/10.1007/s001860050019

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s001860050019