数学物理学报
數學物理學報
수학물이학보
ACTA MATHEMATICA SCIENTIA
2010年
2期
494-500
,共7页
随机不动点定理%序压缩映射%随机Mann迭代序列
隨機不動點定理%序壓縮映射%隨機Mann迭代序列
수궤불동점정리%서압축영사%수궤Mann질대서렬
Random fixed point theorem%Ordered contraction mapping%Random Manniteration scheme
该文获得了序Banach空间中随机序压缩映射存在不动点的充要条件.利用随机Mann迭代序列,给出了几个随机不动点收敛定理,改进了最近文献的相应结果[5-6].
該文穫得瞭序Banach空間中隨機序壓縮映射存在不動點的充要條件.利用隨機Mann迭代序列,給齣瞭幾箇隨機不動點收斂定理,改進瞭最近文獻的相應結果[5-6].
해문획득료서Banach공간중수궤서압축영사존재불동점적충요조건.이용수궤Mann질대서렬,급출료궤개수궤불동점수렴정리,개진료최근문헌적상응결과[5-6].
In this paper, the authors obtain a necessary and sufficient condition for ordered contraction mapping with fixed point in ordered Banach space. Several convergent theorems for random fixed points are given by using random Mann iteration scheme. The results generalize and improve some recent results in [5-6].
