隐互补问题在自然科学中的诸多领域有着广泛的应用.研究了一类广义隐互补问题.利用外梯度法的两种改进算法构造了新的投影迭代算法,并将其应用到这类广义隐互补问题中,研究了在伪单调的条件下算法的收敛性,并讨论了新算法的参数和校正步长的选择方法.

Implicit complementarity problem (ICP) can be applied to many fileds of natural science. In this article, we study a class of generalized implicit complemen-
tarity problems. We suggest a linear combinatorial projection method based on two improved extra-gradient methods. And the lineacombinatorial projection method is used to solve ICP. The linear combinatorial projection method is applied to gener- alized implicit complementarity problem and its convergence with pseudomonotone function is proven. Finally, the choice for the step size correction and the parameters of the method is discussed.