Solution continuity of parametric generalized vector equilibrium problems with strictly pseudomonotone mappings
Xin Zuo, Chun-Rong Chen, Hongzhi Wei · Journal of Industrial and Management Optimization · 2016
In this paper, new continuity (both lower and upper semicontinuities) results of solution mappings to parametric generalized (strong) vector equilibrium problems are established by scalarization approaches, under $f$-strict pseudomonotonicity assumptions. Especially, based on this new kind of monotonicity, the compactness of the mapping $F$ is not required, which is different from the related literature. Some examples are also provided to illustrate main conclusions.