- Title
- Borwein–Preiss vector variational principle
- Creator
- Kruger, Alexander; Plubtieng, Somyot; Seangwattana, Thidaporn
- Date
- 2017
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/164153
- Identifier
- vital:13009
- Identifier
-
https://doi.org/10.1007/s11117-017-0466-0
- Identifier
- ISBN:1385-1292
- Abstract
- This article extends to the vector setting the results of our previous work Kruger et al. (J Math Anal Appl 435(2):1183–1193, 2016) 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. doi:10.1006/jmaa.2000.6813). We introduce and characterize two seemingly new natural concepts of ε-minimality, one of them dependent on the chosen element in the ordering cone and the fixed “gauge-type” function. © 2017, Springer International Publishing.
- Publisher
- Birkhauser Verlag AG
- Relation
- Positivity Vol. 21, no. 4 (2017), p. 1273-1292; http://purl.org/au-research/grants/arc/DP160100854
- Rights
- Copyright © 2017, Springer International Publishing.
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; 0102 Applied Mathematics; Borwein–Preiss variational principle; Perturbation; Smooth variational principle; ε-Minimality
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