A generalization of a theorem of Arrow, Barankin and Blackwell to a nonconvex case

作者：Kasimbeyli Nergiz; Kasimbeyli Refail^*; Mammadov Musa

来源：Optimization, 2016, 65(5): 937-945.

DOI：10.1080/02331934.2015.1132217

• Vector optimization
• density theorem
• nonlinear separation theorem
• augmented dual cone
• proper efficiency
• 90C26
• 90C29
• 90C30
• 90C46
• 46N10

The paper presents a generalization of a known density theorem of Arrow, Barankin, and Blackwell for properly efficient points defined as support points of sets with respect to monotonically increasing sublinear functions. This result is shown to hold for nonconvex sets of a partially ordered reflexive Banach space.

• 出版日期2016-5-3