一致凸Banach空间中渐近非扩张映像不动点的收敛定理  

A Convergence Theorem of Fixed Point for Asymptotically Non-expansive Mappings in Uniformly Convex Banach Spaces

作　　者：乔庆荣[1] 

机构地区：[1]淮海工学院,江苏连云港222069

出　　处：《扬州职业大学学报》2005年第3期42-44,共3页Journal of Yangzhou Polytechnic College

摘　　要：在一致凸Banach空间中,证明了修改的Ishikawa迭代强收敛到渐近非扩张映像不动点的收敛定理。文章中的结论改进并推广了文献中最近所得到的一些重要结果。By using modified Ishikawa iterative process, the author proves that the iterative sequence converges strongly to the fixed point of asymptotically non-expansive mapping in uniformly convex Banach spaces. The conclusion improves and generalizes rome important results in the literature.

关 键 词：一致凸BANACH空间 修改的Ishikawa迭代 渐近非扩张映像 

分 类 号：O17[理学—数学]