On the Uniqueness of Solutions for Nonlinear and Mixed Complementarity Problems
نویسندگان
چکیده
The aim of this paper is to establish sufficient local conditions for the uniqueness of solutions to Nonlinear Complementarity Problems (NCP) and Mixed Complementarity Problems (MCP). Our main theorems state that for NCP and MCP defined by continuously differentiable functions, the solution is unique if the Jacobian of the function is a partial P-matrix at each solution. These theorems generalize the previous uniqueness results in a number of directions, including relaxing the strict complementary slackness requirement necessary in some of these approaches. The method of proof uses and extends a recent result by SimsekOzdaglar-Acemoglu [14] regarding the uniqueness of generalized critical points.
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