Lower semicontinuity of the solution mapping to a parametric generalized vectorequilibrium problem

Qilin Wang, Shengji Li · Journal of Industrial and Management Optimization · 2014

This paper deals with the lower semicontinuity of the solution mapping to a parametric generalizedvector equilibrium problem. Under new assumptions, which do not contain any information about solution mappings,we establish the lower semicontinuity of the solution mapping to a parametric generalized vector equilibriumproblem by using a scalarization method. These results improve the corresponding ones in recent literature.Some examples are given to illustrate our results.

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