一类非紧增算子方程解的存在唯一性及其应用

The Existence Uniqueness of the Solutions of Some Noncompact Increasing Operator Equations and Application

利用锥理论和非对称迭代方法,讨论了不具有连续性和紧性条件的增算子方程解的存在唯一性,作为其应用着重讨论了非增算子方程解的存在唯一性,并给出了迭代序列收敛于解的误差估计,改进和推广了某些已知结果.

By using the cone theory and non-symmetry iteration method, it is studied the existence and uniqueness of solutions of increasing operator equations without continuity and compactness conditions. For it＇s application, it is mainly studied the existence and uniqueness of solutions of non-increasing operator equations. And the iteration sequences which converge to solution of operator equations and the error estimates are also given.The results presented here improve and generalize some corresponding results.