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单值映射对与集值映射对的公共不动点
引用本文:吴健荣.单值映射对与集值映射对的公共不动点[J].模糊系统与数学,2006,20(6):40-43.
作者姓名:吴健荣
作者单位:苏州科技学院,应用数学系,江苏,苏州,215009
基金项目:江苏省教育厅自然科学基金资助项目(04KJD110168,06KJB110107),苏州科技学院科研基金重点资助项目
摘    要:在度量空间中,引进了单值映射对与集值映射对的调和概念,对调和单值映射对与集值映射对建立了公共不动点定理及相应的随机公共不动点定理。

关 键 词:公共不动点  集值映射  随机不动点  度量空间
文章编号:1001-7402(2006)06-0040-04
收稿时间:2005-09-05
修稿时间:2006-03-21

Common Fixed Point Theorems for Two Pairs of Set-valued and Single-valued Mappings
WU Jian-Rong.Common Fixed Point Theorems for Two Pairs of Set-valued and Single-valued Mappings[J].Fuzzy Systems and Mathematics,2006,20(6):40-43.
Authors:WU Jian-Rong
Institution:Department of Applied Mathematics,University of Science and Technology of Suzhou,Suzhou 215009,China
Abstract:In metric space, the concept of harmonic pairs of set-valued and single-valued mappings is introduced. For two pairs of multi-valued and single-valued mappings, a common fixed point theorem and a random common fixed point theorem are established.
Keywords:Common Fixed Point  Set-valued Mapping  Random Fixed Point  Metric Space
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