| Article ID: | iaor2002459 |
| Country: | United States |
| Volume: | 109 |
| Issue: | 1 |
| Start Page Number: | 187 |
| End Page Number: | 192 |
| Publication Date: | Apr 2001 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Kim D.S., Lee G.M., Lee B.S., Cho S.J. |
Recently, sufficient optimality theorems for (weak) Pareto-optimal solutions of a multiobjective optimization problem (MOP) were stated by Majumdaar. In this note, we give a counterexample showing that these theorems are not true. Then, by modifying the assumptions of these theorems, we establish two new sufficient optimality theorems for (weak) Pareto-optimal solutions of MOP; moreover, we give generalized sufficient optimality theorems for MOP.