Abstract:

We used the homotopy method to study the nonlinear complementarity problem, construct a new homotopy equation, and prove the exis
tence, boundedness and convergence of the homotopy path for the new homotopy equation, and we defined a class of new functions, obtained the existence and boundedness of the solution for the complementarity problems corresponded with the new functions.

Key words: complementarity problems, homotopy method, homotopy path