Nonlinear complementarity problem

Abstract

In suggested paper the nonlinear complementarity problem (CP) is considered with relatively new position. Given the continuous mappings of real n-space into itself, find a vector such that g(x) ⩾0f(x) ⩾0g(x)^T f(x)=0. The relationship of the CP with the linear problem of the moments is investigated. On the basic ideas of the linearization method the algorithm of the solving the CP is formulated and theoretically grounded. The new condition of existence of the solution are brought and the relationship of this condition with already known similar ones is investigated

Keywords:

• Complementarity Problem
• Linear Problem of Moments
• Auxiliary Problem
• Lipschitz Conditions
• Mappings