Linear Openness of the Composition of Set-Valued Maps and Applications to Variational Systems

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• 作者：M. Bianchi ; G. Kassay ; R. Pini
• 关键词：Linear openness ; Composition of maps ; Generalized equation ; Sensitivity analysis ; Fixed point theorem
• 刊名：Set-Valued and Variational Analysis
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：24
• 期：4
• 页码：581-595
• 全文大小：274 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  Geometry
  
• 出版者：Springer Netherlands
• ISSN：1877-0541
• 卷排序：24

文摘

In this paper we study the linear openness of the composition of set-valued maps carried out thanks to applications of Nadler’s fixed point theorem and Lim’s lemma. As a byproduct, we obtain the Lipschitz property of the solution map of a generalized parametric equation and of parametric approximate variational inequalities, as well.