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中文摘要：
研究了一类非线性互补约束的均衡问题.借助于集结技术,提出一个新的磨光方法.基于该方法,构造一个在求解意义上与原问题等价的磨光非线性规划,从而保证一些经典的标准化算法可以应用到该类优化问题上.当非退化条件成立和磨光参数趋于零时,证明了原问题的S-稳定点与磨光非线性规划的KKT点等价.
英文摘要：
A kind of nonlinear complementarity constraints with equilibrium problems is studied. By using the idea of aggregation technique, a new smoothing approximation method is introduced. Based on this method,a smoothing nonlinear programming, which is equivalent to the MPCC problem, is constructed. Therefore,it is ensured that some classical optimization methods can be applied for the MPCC problem. As the non-degeneracy condition holds and the smoothing parameter tends to zero, an S-stationary point of the MPCC problem is equivalent to a KKT point of the smoothing nonlinear programming.
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