Huong, N.T.T. and Yen, N.D. (2022) A NEW CLASS OF VECTOR OPTIMIZATION PROBLEMS WITH LINEAR FRACTIONAL OBJECTIVE CRITERIA. Journal of Applied and Numerical Optimization, 4 (1). pp. 53-65. ISSN 25625527
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This paper studies a new class of vector optimization problems where the objective criteria are linear fractional functions, the ordering cone can be any nonempty closed convex pointed and solid cone, and the constraint set can be any nonempty closed convex set. Necessary optimality conditions, as well as sufficient optimality conditions, are obtained. In addition, two theorems on the connectedness of the weakly efficient solution set and the efficient solution set are established. The results are analyzed by concrete examples. ©2022 Journal of Applied and Numerical Optimization
| Item Type: | Article |
|---|---|
| Divisions: | Faculties > Faculty of Information Technology |
| Identification Number: | 10.23952/jano.4.2022.1.05 |
| Uncontrolled Keywords: | Connectedness; Linear fractional function; Monotone variational inequality; Optimality condition; Vector optimization |
| URI: | http://eprints.lqdtu.edu.vn/id/eprint/10465 |
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