Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843073 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 8 Pages |
Abstract
Problems in set-valued optimization can be solved via set optimization. In this paper optimality conditions are studied for set-valued maps with set optimization. Optimality requirements are established for continuous selections using directional derivatives. Necessary and sufficient conditions for the existence of solutions are shown for set-valued maps under generalized convexity assumptions and with the notion of the contingent derivative.
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Authors
María Alonso, Luis Rodríguez-Marín,