Borwein-Preiss Vector Variational Principle
Optimization and Control
2018-06-19 v1
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.
Cite
@article{arxiv.1508.07837,
title = {Borwein-Preiss Vector Variational Principle},
author = {Alexander Y. Kruger and Somyot Plubtieng and Thidaporn Seangwattana},
journal= {arXiv preprint arXiv:1508.07837},
year = {2018}
}
Comments
18 pages. arXiv admin note: substantial text overlap with arXiv:1508.03460