Optimization Online


Borwein–Preiss Vector Variational Principle

Alexander Y. Kruger (a.kruger***at***federation.edu.au)
Somyot Plubtieng (somyotp***at***nu.ac.th)
Thidaporn Seangwattana (seangwattana_t***at***hotmail.com)

Abstract: This article extends to the vector setting the results of our previous work Kruger et al. (2015) which refined and slightly strengthened the metric space version of the Borwein–Preiss variational principle due to Li and Shi, J. Math. Anal. Appl. 246(1), 308–319 (2000). We introduce and characterize two seemingly new natural concepts of epsilon-minimality, one of them dependent on the chosen element in the ordering cone and the fixed “gauge-type” function.

Keywords: Borwein-Preiss variational principle, smooth variational principle, gauge-type function, perturbation

Category 1: Convex and Nonsmooth Optimization


Download: [PDF]

Entry Submitted: 08/31/2015
Entry Accepted: 08/31/2015
Entry Last Modified: 08/31/2015

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