Abstract
In this article, we establish some relationships between a solution of generalized vector variational-like inequalities and an efficient solution or a weakly efficient solution to the nonsmooth vector optimization problem under the assumptions of pseudoinvexity or invariant pseudomonotonicity. Our results extend and improve the corresponding results in the literature.
Acknowledgements
This work was supported by the National Natural Science Foundation of China (11001287), the Education Committee Project Research Foundation of Chongqing (No. KJ100711), the Natural Science Foundation Project of Chongqing (CSTC 2010BB9254 and CSTC 2009BB8240) and the Research Fund of Chongqing Technology and Business University (09-56-06).