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Pham Thanh Duoc, Huy Minh Le, Pham Tran Anh Thu, Existence conditions and radiant properties of solutions to uncertain vector optimization problems

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DOI: 10.23952/asvao.7.2025.1.04
Volume 7, Issue 1, 1 April 2025, Pages 57-70

 

Abstract. In this paper, we consider nonconvex uncertain vector optimization problems, and discuss the properties of their robust efficient solution sets. First, existence conditions of the robust efficient solutions under consideration in both cases of compactness and noncompactness are addressed. Second, various types of generalized radiant properties for vector-valued mappings and their relationships are considered. Finally, the radiant property of the robust efficient solution sets to such problems is studied.

 

How to Cite this Article:
P.T. Duoc, H.M. Le, P.T.A. Thu, Existence conditions and radiant properties of solutions to uncertain vector optimization problemss, Appl. Set-Valued Anal. Optim. 7 (2025), 57-70.