Upper Hölder continuity of parametric vector optimization problems

Abstract

Abstract This paper is concerned with upper Hölder continuity and Hölder calmness of a perturbed vector optimization problem. We establish some new sufficient conditions for upper Hölder continuity and Hölder calmness of the perturbed solution mappings and the perturbed optimal value mappings of a vector optimization problem under the case that the objective function and the feasible set are, respectively, perturbed by parameters. Our results generalize and extend the corresponding ones of Li and Li (Appl. Math. Comput. 232:908-918, 2014).

Keywords

• vector optimization problem
• solution mapping
• optimal value mapping
• Hölder continuity
• Hölder calmness