Continuity of the solution set mappings to parametric unified weak vector equilibrium problems

In this paper, the lower and upper semicontinuity of the solution mappings for parametric unified weak vector equilibrium problem (PUWVEP) are established, via free-disposal set and non-linear scalarization function. Moreover, example is given to illustrate the obtained results. The results improve the corresponding ones in the literature [Z.Y. Peng and S.S. Chang, Optim. Lett. (2014) 8 159–169.], [Z.Y. Peng, X.B. Li, X.J. Long and X.D. Fan, Optim. Lett. (2018) 12 1339–1356.], [Z.Y. Peng, J.W. Peng, X.J. Long and J.C. Yao, J. Global Optim. 70 (2018) 55–69.].