Caristi不动点定理的迭代求解

The monotone iterative techniques of Caristi fixed point theorm

Caristi不动点定理只给出了不动点的存在性,没有给出不动点的求解方法(即没有给出求不动点的迭代方法).本文在赋格距离空间中,在某些附加条件下,用迭代方法求出不动点.

Caristi fixed point theorem only gives the existence of fixed points,but not giving the method of getting fixed points.In this paper,we prove some new fixed point theorems of Caristi type by using ordered method.It is different from Caristi fixed point theorem that the fixed points can be found by monotone iterative techniques in our results.