The properties of a homotopy path of nonlinear complementarity problems

Xiuyu Wang; Xingwu Jiang; Qinghuai Liu

doi:10.1117/12.2030635

19 July 2013 The properties of a homotopy path of nonlinear complementarity problems

Xiuyu Wang, Xingwu Jiang, Qinghuai Liu

Proceedings Volume 8878, Fifth International Conference on Digital Image Processing (ICDIP 2013); 88784P (2013) https://doi.org/10.1117/12.2030635
Event: Fifth International Conference on Digital Image Processing, 2013, Beijing, China

Abstract

In this paper, we study the following nonlinear complementarity problem: f : Rⁿ→Rⁿ , find x ≥ 0 , such that f (x) ≥ 0, x^T 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 - mapping or a P(τ ,α ,β ) -mapping , a sufficiently condition is established to assure the existence and boundedness of solution curve.

Citation Download Citation

Xiuyu Wang, Xingwu Jiang, and Qinghuai Liu "The properties of a homotopy path of nonlinear complementarity problems", Proc. SPIE 8878, Fifth International Conference on Digital Image Processing (ICDIP 2013), 88784P (19 July 2013); https://doi.org/10.1117/12.2030635

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