KEYWORDS: Radon, Applied mathematics, Computer programming, Lithium, Matrices, Chemical elements, Digital image processing, Current controlled current source
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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