完备凸度量空间中不动点定理与收敛定理  

A fixed point existence theorem and a convergence theorem in convex metric spaces

作　　者：刘才贵[1] 

机构地区：[1]淮海工学院东港学院基础部,江苏连云港222000

出　　处：《南阳师范学院学报》2008年第9期10-12,共3页Journal of Nanyang Normal University

摘　　要：在凸度量空间中,证明了非空闭凸子集C上的自映射T,在满足某种条件下不动点的存在性;同时研究了Ishikawa迭代序列{xn}在一定条件下收敛到映射T的不动点问题,文中的结果推广了相关作者的许多重要结果.In convex metric spaces, we have proved that if C is a nonempty closed convex, the mapping T in some conditions will have a fixed point and Ishikawa iteration { xn } will converge to the fixed point of T. The main result presented generalizes and unites many related results in literature.

关 键 词：凸度量空间 ISHIKAWA迭代序列 不动点 

分 类 号：O177.91[理学—数学]