Parametric set valued equilibrium problems under K-convexity type conditions

In this paper we present existence results for strong and weak parametric set valued equilibrium problems in Hausdorff topological vector spaces. To achieve these results we distribute on two multivalued maps requirements of semicontinuity and convexity type properties induced by a cone. In the case of one multivalued map we obtain also the compactness of the solution sets. We complete the discussion with a parametric version of the Browder variational inclusion.