Hölder continuity of perturbed solution set for convex optimization problems

X.B. Li and S.J. Li

Applied Mathematics and Computation, 2014, vol. 232, issue C, 908-918

Abstract: In this paper, we first establish sufficient conditions for the local uniqueness and Hölder continuity of perturbed solution set for a scalar optimization problem. Then, by using a linear scalarization method, we obtain the Hölder continuity of two classes of perturbed solution sets for a multiobjective programming problem, respectively. We also give some examples to illustrate that our main results are applicable. These examples are also given to illustrate that our main results are new and different from the ones in literature.

Keywords: Parametric optimization problems; Perturbed solution sets; Hölder continuity; Pompeiu–Hausdorff metric (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:908-918

DOI: 10.1016/j.amc.2014.01.095

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