The asymptotic Browder-Hartman-Stampacchia condition and interior bands of $\varepsilon$-solutions for nonlinear complementarity problems

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Abstract

In this paper we study two remarkable properties of the interior band of e-solutions of a general nonlinear complementarity problem in the n-dimensional Euclidean space. The study is based on the notion of scalar derivative, on the notion of infinitesimal interior point epsilon-exceptional family of elements for a function and on the asymptotic Browder Hartman Stampacchia condition.
Original languageEnglish
Pages (from-to)1917-1940
Number of pages24
JournalRocky Mountain Journal of Mathematics
Volume6
Issue number37
DOIs
Publication statusPublished - 1 Jan 2007

Keywords

  • interior band of epsilon-solutions
  • asymptotic Browder Hartman Stampacchia condition
  • scalar derivative
  • complementarity problems

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