一类减算子新的不动点定理及其应用

ON NEW FIXED POINT THEOREMS OF DECREASING OPERATOR AND APPLICATIONS

利用非对称迭代的方法,研究了在没有连续性条件和紧性条件下减算子新的不动点存在性、唯一性及迭代收敛性。得出了新的不动点定理以及给出此迭代的误差估计,并将所得结果应用于RN上的非线性方程解的存在性。

This paper uses nonsymmetric iteration method to study existence,uniqueness and iteration of decreasing operator which only satisfy some ordered condition while have no continuous condition and compact condition, new fixed points are obtained.Finaly, application to nonlinear equation on close bounded set D∈R^N.