Abstract
In this paper, it is shown that nonlinear complementarity problems has a unique solution if function is continuous and strongly monotone of higher order on nonnegative orthant of finite dimensional Euclidean space. The uniqueness of solution is discussed for both primal and dual for a symmetric dual nonlinear program. A unique nonnegative saddle point for a differentiable scalar function is obtained. Further, we obtained a unique equilibrium point of an n-person game.
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