广义Lipschitz Φ-伪压缩映像不动点的迭代逼近  

Ishikawa Iterative Approximation of Fixed Points for Multivalued Φ-Pseudo-Contract Mappings

作　　者：冉凯[1] 高淑萍[2] 

机构地区：[1]西安文理学院数学系,陕西西安710065 [2]西安电子科技大学数学系,陕西西安710065

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2008年第3期332-336,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：陕西省自然科学基金资助项目(2005A21)

摘　　要：在一致光滑的实Banach空间,研究广义Lipschitz Φ-伪压缩映像不动点的Ishikawa迭代逼近.讨论了Ishikawa迭代序列逼近广义Lipschitz Φ-增生算子方程解的问题,并改进了一些文献中的相关结果.In this paper, we investigate the Ishikawa iterative approximation of fixed points for generalized Lipschitzian Φ-pseudo-contract mappings in the uniformly smooth Banach spaces. We discuss the prob-lem that the solution of equations for generalized Lipschitzian Φ-accretive operators can be approximated with Ishikawa iterative sequence. Our results improve and extend the recent corresponding results.

关 键 词：广义LIPSCHITZ Φ-伪压缩映像 BANACH空间 迭代逼近 

分 类 号：O177.91[理学—数学]