Lam Quoc Anh, Nguyen Thai Anh, Pham Thanh Duoc, Lam Thi Van Khanh, Pham Tran Anh Thu, Connectedness properties of efficient and minimal sets to vector optimization problems
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Volume 5, Issue 1, 1 April 2023, Pages 121-135
Abstract. In this paper, we investigate the approximate efficient solution and minimal sets of vector optimization problems. Firstly, we propose a new scalar function through the Gerstewitz function and discuss some of its properties. Secondly, we apply this scalar function to address the connectedness of the approximate efficient solution sets. Finally, the connectedness of the minimal sets is studied based on the above results.
How to Cite this Article:
L.Q. Anh, N.T. Anh, P.T. Duoc, L.T.V. Khanh, P.T.A. Thu, Connectedness properties of efficient and minimal sets to vector optimization problems, Appl. Set-Valued Anal. Optim. 5 (2023), 121-135.