| Article ID: | iaor20131964 |
| Volume: | 156 |
| Issue: | 3 |
| Start Page Number: | 591 |
| End Page Number: | 599 |
| Publication Date: | Mar 2013 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Tang G, Song Q, Wang L |
| Keywords: | sets |
This paper introduces the essential stability for set optimization problems. Some kinds of essential stable sets of weakly minimal and minimal solutions are shown. The graph of minimal solution mappings is not necessarily closed, which is different from weakly minimal solution mappings. The existence of minimum essential sets of minimal solutions is proved.