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Exceptional Families and Nonlinear Complementarity Problems.
- Source :
- Energy Procedia; Nov2011, Vol. 11, p10-14, 5p
- Publication Year :
- 2011
-
Abstract
- Abstract: In this paper, we study the following Linear Complementarity problem: f : R <superscript> n </superscript>→R <superscript> n </superscript>, find x ≥0, such that f(x)≥0, x <superscript> T </superscript> f (x)=0.We use Poineare-Bohn''s homotopy invariance theorem of degree to derive an alternative theorem, and give a new exceptional families. Based on this result, for the nonlinear complementarity problems with a quasi- P <subscript>*</subscript> -mapping or a P(τ, α, β) -mapping or a semi-monotone mapping, a sufficiently condition is established to assure the existence and boundedness of solution curve [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 18766102
- Volume :
- 11
- Database :
- Supplemental Index
- Journal :
- Energy Procedia
- Publication Type :
- Academic Journal
- Accession number :
- 70231415
- Full Text :
- https://doi.org/10.1016/j.egypro.2011.10.202