中文摘要：

通过对广义线性互补问题构造同伦方程,给出同伦路径存在的一个新条件,并在此条件下证明了同伦路径的有界性和收敛性,从而得到了广义线性互补问题存在解的条件.

英文摘要：

By constructing a homotopy equation for the generalized linear complementarity problem, we gave a new existence condition of homotopy path, under this condition. We proved the boundedness and convergence of the homotopy path, and obtained existence condition of a solution of the generalized linear complementarity problem.