Article ID: | iaor20127287 |
Volume: | 6 |
Issue: | 8 |
Start Page Number: | 1613 |
End Page Number: | 1626 |
Publication Date: | Dec 2012 |
Journal: | Optimization Letters |
Authors: | Yang X, Liu C, Lee H |
Keywords: | vector optimization |
In this paper a new class of generalized vector‐valued arcwise connected functions, termed sub‐arcwise connected functions, is introduced. The properties of sub‐arcwise connected functions are derived. The approximate quasi efficient solutions of vector optimization problems are studied, and the necessary and sufficient optimality conditions are obtained under the assumption of arcwise connectivity. An approximate Mond‐Weir type dual problem is formulated and the duality theorems are established.