Stability analysis of perturbed set-valued equilibrium problem

In this paper, we consider the perturbed set-valued equilibrium problem in real Hausdorff topological vector space. We establish H & ouml;lder continuity and Lipschitz estimates for solution sets of parametric equilibrium problems under the strongly quasimonotone property. The deduced results are applied to Browder variational inclusion problem and Lipschitz stability analysis is provided for the respective star solution sets. In addition, we provide a quantitative stability analysis of quasiconvex programming problems and traffic equilibrium problems.