The existence study based on the solution of binary operator equation of the symmetric iteration method
XU Hua-wei · jOURNAL OF southwest University for Nationalities · 2009
Using the cone and partial theory and symmetry iteration method, this paper studies the existence and uniqueness of solutions of a class of binary operator equation without anti-mixed monotone condition, and the iteration sequences which converge to solution of operator equations and the error estimates are also given. The conclusion applies to the binary operator equations. The results presented here improve and generalize some corresponding results for anti-mixed monotone operators.