Abstract:

The lower semicontionuity of weak efficient solution and efficient solution mappings to a class of parametric generalized set-vector equilibrium problems in real Hausdorff topological vector spaces are studied. Under the condition of nearly cone-subconvexlike, scalar characterization of weak efficient solution is given by using the scalar method. Under some suitable assumptions, the lower semicontionuity theorem of weak efficient solution and efficient solution mappings to the parametric generalized set-vector equilibrium problems are gained.

Key words: weak efficient solution, efficient solution, solution mapping, lower semicontionuity, parametric generalized set-vector equilibrium problems