Abstract.
The generalized contingent epiderivative of set-valued maps is introduced in this paper and its relationship to the contingent epiderivative is investigated. A unified necessary and sufficient optimality condition is derived in terms of the generalized contingent epiderivative. The existence of weak subgradients of set-valued maps is proved, and a sufficient optimality condition of set-valued optimization problems is obtained in terms of weak subgradients.
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Received April 1997/Revised version March 1998
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Chen, G., Jahn, J. Optimality conditions for set-valued optimization problems. Mathematical Methods of OR 48, 187–200 (1998). https://doi.org/10.1007/s001860050021
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DOI: https://doi.org/10.1007/s001860050021