Nonlinear complementarity problem

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In applied mathematics, a nonlinear complementarity problem (NCP) with respect to a mapping ƒ : R n → R n , denoted by NCPƒ, is to find a vector x ∈ R n 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).

In applied mathematics, a nonlinear complementarity problem (NCP) with respect to a mapping ƒ : R n  → R n , denoted by NCPƒ, is to find a vector x ∈ R n 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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