H -exceptional family, ( φ , ϕ , ψ ) -exceptional family and the solution for VIP

We introduce a new concept of exceptional family— H -exceptional family for a variational inequality problem (VIP) defined by a continuous function on a Euclidean space; and give the related existence theorems for the solution to the (VIP).

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Veröffentlicht in:Applied mathematics letters 2010, Vol.23 (1), p.1-7
Hauptverfasser: Huang, Liren, Tan, L.L.
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Tan, L.L.
description We introduce a new concept of exceptional family— H -exceptional family for a variational inequality problem (VIP) defined by a continuous function on a Euclidean space; and give the related existence theorems for the solution to the (VIP).
doi_str_mv 10.1016/j.aml.2009.08.002
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source Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Access via ScienceDirect (Elsevier)
subjects Calculus of variations and optimal control
Complementarity problem
Exact sciences and technology
Exceptional family
Existence theorem
Existence theorems
Global analysis, analysis on manifolds
Inequalities
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Real functions
Sciences and techniques of general use
Topological degree
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Variational inequality problem
title H -exceptional family, ( φ , ϕ , ψ ) -exceptional family and the solution for VIP
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