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{{Short description|Mathematics problem}}
In [[applied mathematics]], a '''nonlinear complementarity problem (NCP)''' with respect to a mapping ''ƒ'' : '''R'''<sup>''n''</sup> → '''R'''<sup>''n''</sup>, denoted by NCP''ƒ'', is to find a vector ''x'' ∈ '''R'''<sup>''n''</sup> such that
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