H枚lder continuity of perturbed solution set for convex optimization problems

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• 作者：X.B. Li^a ; ^{xiaobinglicq@126.com" class="auth_mail} ; S.J. Li^b
• 关键词：Parametric optimization problems ; Perturbed solution sets ; Hö ; lder continuity ; Pompeiu&ndash ; Hausdorff metric
• 刊名：Applied Mathematics and Computation
• 出版年：1 April, 2014
• 年：2014
• 卷：232
• 期：Complete
• 页码：908-918
• 全文大小：397 K

文摘

In this paper, we first establish sufficient conditions for the local uniqueness and H枚lder continuity of perturbed solution set for a scalar optimization problem. Then, by using a linear scalarization method, we obtain the H枚lder 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.