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Nonlinear complementarity problem

Mathematics problem

In applied mathematics, a nonlinear complementarity problem (NCP) with respect to a mapping ƒ : Rn  Rn, denoted by NCPƒ, is to find a vector x  Rn such that

x\geq 0,\ f(x)\geq 0{\text{ and }}x^{T}f(x)=0

where ƒ(x) is a smooth mapping. The case of a discontinuous mapping was discussed by Habetler and Kostreva (1978).

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