2类压缩映射的强收敛定理  

Some strong convergence theorems for two contractive mappings

作　　者：邵颖[1] 郑晓迪[1] 张树义[1] 

机构地区：[1]渤海大学数学系,辽宁锦州121000

出　　处：《南阳师范学院学报》2009年第6期9-12,共4页Journal of Nanyang Normal University

基　　金：辽宁省教育厅科研基金资助项目(2005020)

摘　　要：在一般Banach空间研究了拟压缩映射对和广义压缩映射的不动点的Ishikawa迭代序列的收敛性问题;在凸度量空间研究了拟压缩映射对的不动点的广义Ishikawa迭代序列的收敛性问题,所得结果推广和改进了已有文献中的相应结果.The problems on convergence of fixed point with Ishikawa iterative process for quasi-contractive mapping pair and generalized contractive mapping in Banach spaces are studied. The problem on convergence of fixed point with generalized Ishikawa iterative process for quasi-contractive mapping pair in convex metric spaces is studied. The obtained results extend and improve corresponding results about existing refrences.

关 键 词：拟压缩映射对 广义压缩映射 BANACH空间 凸度量空间 ISHIKAWA迭代序列 

分 类 号：O177[理学—数学]