2015/08/31 by Alexander Y. Kruger, Somyot Plubtieng, Thidaporn Seangwattana
Mathematics · #math.OC
paper · pdf · doi:10.1007/s11117-017-0466-0
published as Positivity 21 (2017) 1273-1292 · 18 pages. arXiv admin note: substantial text overlap with arXiv:1508.03460
arxiv created 2015/08/31 · arxiv updated 2018/06/19
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.