| Article ID: | iaor2012456 |
| Volume: | 152 |
| Issue: | 2 |
| Start Page Number: | 439 |
| End Page Number: | 449 |
| Publication Date: | Feb 2012 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Yang X, Qiu Q |
| Keywords: | sets |
In this paper, we study Henig weakly efficient solutions for set‐valued optimization problems. The connectedness of the Henig weakly efficient solution set is proved under the condition that the objective function be a cone‐arcwise connected set‐valued mapping. As an application of the result, we establish the connectedness of the set of super efficient solutions.