Linear openness of the composition of set-valued maps and applications to variational systems

Monica Bianchi, Rita Pini, G. Kassay, R. Pini

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)581-595
Number of pages15
JournalSet-Valued and Variational Analysis
DOIs
Publication statusPublished - 2015

Keywords

  • Composition of maps
  • Linear openness
  • sensitivity analysis

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