Optimality Conditions for Approximate Pareto Minimality. (10th June 2020)

• Record Type: Journal Article
• Authors: Durea, Marius
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 8(2020)
• Page Start: 883
• Page End: 900
• Publication Date: 2020-06-10
• Subjects: approximate Pareto minimality -- derivatives and coderivatives -- optimality conditions; 54C60 -- 90C30 -- 90C46; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1708391
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper, we apply, to the case of approximate minimizers for vector optimization problems with set-valued maps, some techniques developed previously in literature for the situation of standard vector efficiency. The approach we propose here allows us, on one hand, to extend some known results, and, on the other hand, to emphasize some numerical aspects that could be of certain importance for scientific computation of approximate minima.