Abstract
In many applied problems (such as, e.g., elasto-hydrodynamic lubrication problem, some economic equilibrium problems, etc.), one of the important question is if certain complementarity problem's solution is monotone with respect to parameters. Our paper investigates this question and provides several sufficient conditions that guarantee such a monotonicity of the solutions to linear and nonlinear complementarity problems with parameters. In the majority of cases, it is required that the principal mapping of the complementarity problem be monotone by decision variables and, vice versa, antitone with respect to parameters.
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