Hlder-likeness and contingent derivative of solutions to parametric weak vector equilibrium problems
Ming Li · Scientia Sinica Mathematica · 2013
In this paper,we study the Hlder-likeness and contingent derivative of solutions to a parametric weak vector equilibrium problem.At first,recalling a real-valued gap function of the problem,we discuss the Lipschitz continuity and the Hadamard directional differentiability of the gap function.Then by means of the properties of the gap function we establish the Hlder-likeness and Hlder continuity and an explicit expression for the contingent derivative of the solution mapping for the problem,respectively.