广义Tricomi条件和强伪压缩映射不动点的收敛问题  

The generalized Tricomi condition and the convergence problem of fixed points for strongly pseudo-contractive mapping

作　　者：常进荣[1] 

机构地区：[1]昆明学院数学系,云南昆明650031

出　　处：《云南师范大学学报（自然科学版）》2006年第3期5-7,共3页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：云南省自然科学基金资助项目(2002A0058M)

摘　　要：引入广义Tricomi条件且研究在Ishikawa迭代过程下,强伪压缩映射不动点的收敛性问题,由于所得主要结果不涉及Lipschitz连续性和T的值域的有界性,因此,改进了该问题研究上的一些已有的结论。The purpose of this paper is to introduce the generalized Tricomi condition and to study the convergence problem of the fixed points for a strongly pseudo-contractive mapping without the Lipschitz condition and the boundedness of the range by Ishikawa iterative process. The results presented in this paper improve and extend the corresponding one have obtained.

关 键 词：对偶映射 一致光滑的Banach空间 ISHIKAWA迭代序列 广义Tricomi条件 

分 类 号：O177.91[理学—数学]