Hlder Continuity of the Solution Set of the Ky Fan Inequality
This paper is concerned with the Hlder continuity of the perturbed solution set to a convex Ky Fan Inequality. We establish some new sufficient conditions for the uniqueness and Hlder continuity of the solution set of the Ky Fan Inequality both in the given space and in its image space by perturbing the objective function and the feasible set. Our methods and results are different from the corresponding ones in the literature. Some examples are given to analyze the obtained results.
hlder continuity ky fan inequality perturbed solution set uniqueness strong convexity