无限族渐近k-严格伪压缩映象的强收敛定理  

Strong Convergence Theorems for a Family of Asymptotically k-strict Pseudo-contractions

作　　者：张雷[1] 崔艳兰[1] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《数学的实践与认识》2009年第21期207-210,共4页Mathematics in Practice and Theory

基　　金：陕西省教育厅专项科研计划项目(04JK301)

摘　　要：在H ilbert空间框架下,给出了迭代逼近无限族渐近k-严格伪压缩映象的公共不动点的杂交投影算法,并证明了一个强收敛定理.此结果改进和推广了原有的相关结果.The purpose of this paper is to propose several modified hybrid projection algorithms and prove several strong convergence theorems for common fixed points of a family of asymptotically k-strict pseudo-contractions Mappings in Hilbert Space. The results presented in this paper improve and extend the corresponding ones announced by many others.

关 键 词：强收敛 无限族渐近k-严格伪压缩映象 HILBERT空间 

分 类 号：O177.91[理学—数学] O177.2[理学—基础数学]