19 July 2013 The properties of a homotopy path of nonlinear complementarity problems
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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, xT 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.
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Xiuyu Wang, Xingwu Jiang, 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); doi: 10.1117/12.2030635; https://doi.org/10.1117/12.2030635
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