Abstract
In this paper, some solution relationships between set-valued optimization problems and vector variational-like inequalities are established under generalized invexities. In addition, a generalized Lagrange multiplier rule for a constrained set-valued optimization problem is obtained under C-preinvexity.
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This research was partially supported by the National Natural Science Foundation of China (Grant number: 10871216) and by Innovative Talent Training Project, the Third Stage of “211 Project”, Chongqing University (Grant number: S-09110).
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Zeng, J., Li, S.J. On vector variational-like inequalities and set-valued optimization problems. Optim Lett 5, 55–69 (2011). https://doi.org/10.1007/s11590-010-0190-1
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DOI: https://doi.org/10.1007/s11590-010-0190-1