φ-强伪压缩映象不动点的 Ishikawa迭代逼近  

Ishikawa Iterative Approximation of Fixed Points for φ strongly Pseudo contractive Mappings

作　　者：谷峰[1] 

机构地区：[1]齐齐哈尔大学数学系,齐齐哈尔161006

出　　处：《工程数学学报》2001年第1期63-67,共5页Chinese Journal of Engineering Mathematics

基　　金：黑龙江省自然科学基金资助项目! (A961 9)

摘　　要：在一般的 Banach空间中 ,研究了 φ-强伪压缩映象和 φ-强增生映象的 Ishikawa迭代序列的收敛问题 ,去掉了通常文献中关于空间 X的一致光滑或 q-一致光滑的严格要求 。In this paper, by virtue of some analysis techniques, we have studied approximation problem of the Ishikawa sequences for φ - strongly pseudo-contractive mappings and φ - strongly accretive mappings in the more general Banach spaces, and obtained some new results, removed the strict condign of the spaces being uniformly smooth as usual, and so improved a series of corresponding results in recent papers.

关 键 词：强增生映象 ψ-强增生映象 ψ-强伪压缩映象 强伪压缩映象 ISHIKAWA迭代序列 实BANACH空间 收敛 不动点 

分 类 号：O177.91[理学—数学]