Levitin–Polyak well-posedness by perturbations for the split inverse variational inequality problem

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• 作者：Rong Hu ; Ya-Ping Fang
• 关键词：Mathematics Subject ClassificationPrimary 49K40 ; Secondary 49J40 ; 90C31
• 刊名：Journal of Fixed Point Theory and Applications
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：18
• 期：4
• 页码：785-800
• 全文大小：578 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Analysis
  Mathematical Methods in Physics
  
• 出版者：Birkh盲user Basel
• ISSN：1661-7746
• 卷排序：18

文摘

In this paper, we extend the notion of Levitin–Polyak wellposedness by perturbations to the split inverse variational inequality problem. We derive metric characterizations of Levitin–Polyak wellposedness by perturbations. Under mild conditions, we prove that the Levitin–Polyak well-posedness by perturbations of the split inverse variational inequality problem is equivalent to the existence and uniqueness of its solution.