渐近非扩张型映像不动点的Ishikawa迭代逼近  

ISHIKAWA ITERATIVE APPROXIMATION OF FIXED POINTS FOR ASYMPTOTICALLY NONEXPANSIVE TYPE MAPPINGS

作　　者：冉凯[1] 赵凤群[2] 

机构地区：[1]西安文理学院数学系,陕西西安710065 [2]西安理工大学数学系,陕西西安710048

出　　处：《陕西科技大学学报（自然科学版）》2008年第1期136-140,共5页Journal of Shaanxi University of Science & Technology

基　　金：陕西省自然科学基金资助项目(2005A18)

摘　　要：在一致凸Banach空间X中,研究了用具误差的Ishikawa迭代序列逼近一致L-Lips-chitz渐近非扩张型映像T的不动点问题,给出了强收敛定理.我们的主要结果中,在满足Ishikawa迭代序列{xn}有界及‖Tnxn-xn‖→0(n→∞)的条件下,可以不要求X的子集K有界,也无须映像T的值域的有界性假设.In the paper, we investigate the problem of iterative approximation to the fixed points of uniformly L-Lipschitzian asymptotically non-expansive type mappings Ishikawa iterative sequence with errors in uniformly convexity Banach spaces. We obtain a strong convergence theorem. In our main results, under Ishikawa iterative sequence {xn} is bounded and ｜｜T＇xn-xn｜｜→0 （n→∞）. The assumption that K and the range of the mapping T are bounded is not need.

关 键 词：一致凸BANACH空间 渐近非扩张型映像 迭代序列 不动点 

分 类 号：O177.91[理学—数学]