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Abstract
In this paper, we consider implicit vector variational problems which contain vector equilibrium problems and vector variational inequalities as special cases. The existence of solutions of implicit vector variational problems and vector equilibrium problems have been established. As a special case, we derive some existence results for a solution of vector variational inequalities. We also study the duality of implicit vector variational problems and discuss the relationship between solutions of dual and primal problems. Our results on duality contains known results in the literature as special cases.
*This research was supported by the National Science Council of Taiwan and carried out during the stay of second author at Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan.
Acknowledgments
Notes
*This research was supported by the National Science Council of Taiwan and carried out during the stay of second author at Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan.