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

G Isac; Sandor Nemeth

doi:10.1216/rmjm/1199649830

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

G Isac, Sandor Nemeth

Mathematics

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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 language	English
Pages (from-to)	1917-1940
Number of pages	24
Journal	Rocky Mountain Journal of Mathematics
Volume	6
Issue number	37
DOIs	https://doi.org/10.1216/rmjm/1199649830
Publication status	Published - 1 Jan 2007

Keywords

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

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10.1216/rmjm/1199649830

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

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.",

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AU - Isac, G

AU - Nemeth, Sandor

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Y1 - 2007/1/1

N2 - 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.

AB - 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.

KW - interior band of epsilon-solutions

KW - asymptotic Browder Hartman Stampacchia condition

KW - scalar derivative

KW - complementarity problems

U2 - 10.1216/rmjm/1199649830

DO - 10.1216/rmjm/1199649830

M3 - Article

VL - 6

SP - 1917

EP - 1940

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

IS - 37

ER -

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

Abstract

Keywords

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