渐近非扩张映象不动点的三重迭代法  

Three-steps Iterations Method of Fixed Point for Asymptotically Nonexpansive Mappings

作　　者：张文良[1] 张玉敏[1] 何震[2] 

机构地区：[1]河北金融学院基础部 [2]河北大学数学与计算机学院

出　　处：《数学的实践与认识》2010年第6期189-194,共6页Mathematics in Practice and Theory

基　　金：教育部科学技术研究重点支持项目(207014);河北省自然科学基金(A2006000941)

摘　　要：利用赋范线性空间X的凸性模定义,以及凸性模的单调性及半紧性条件研究了渐近非扩张映射T:D→D不动点的三步迭代法.主要结果将过去一些学者研究的二步迭代推广到三步迭代,并减弱了许多条件.从而推广了同类问题的某些结果.In this paper using the definition and property of the convex modulus of norm linear spaceX,and conditions of semi-compactness,we discussed three-steps iterations method of fixed point for asymptotically nonexpansive mappings T：D→D.The main results generalized from two-steps iterations to three-steps iterations for formerly some results and weaken more conditions.Thus some similar conclusion have been obtained.

关 键 词：一致凸BANACH空间 三步迭代法 凸性模 渐近非扩张映射 半紧性 

分 类 号：O177.91[理学—数学]