非线性映象不动点的存在性和逼近方法

EXISTENCE AND APPROXIMATE METHODS OF FIXED POINTS FOR NONLINEAR MAPPINGS

本文在凸度量空间中证明了可交换映象 F、G 的公共不动点的存在定理,推广了 Khan 的结果,还讨论了区间[a,b]上 Lipschitz 映象不动点的逼近方法,得到了三个结果,推广 Hillam 的结果.

In this paper,two existence theorems of common fixed points for commuting nonexpansive type mappongs,which gener- alize the result of Khan,are proved in convex metric spaces.The iterative methods of appproximating fixed points of Lips- chitzion self-mapping defined in the closed interval[a,b]are also discussed.Three theorems obtained by author generalize the corresponding result of Hillam.