A note on solution lower semicontinuity for parametric generalized vector equilibrium problems
Zai Yun Peng, Zhi Lin, Kai Zhi Yu, Da Cheng Wang · Journal of Inequalities and Applications · 2014
By using a density technique, sufficient conditions for lower semicontinuity of strong solutions to a parametric generalized vector equilibrium problem are established, where the monotonicity is not necessary. The obtained results are different from the corresponding ones in the literature (Gong and Yao in J. Optim. Theory Appl. 138:197-205, 2008; Gong in J. Optim. Theory Appl. 139:35-46, 2008; Chen and Li in Pac. J. Optim. 6:141-151, 2010; Li and Fang in J. Optim. Theory Appl. 147:507-515, 2010; Gong and Yao in J. Optim. Theory Appl. 138:189-196, 2008). Some examples are given to illustrate the results. MSC: 49K40, 90C29, 90C31.