广义一致Lipschitz渐近伪压缩型映象的迭代逼近  

Iterative approximations for generalized uniformly Lipschitz asymptotically pseudocontractive mappings

作　　者：张树义[1] 李丹[1] 

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《渤海大学学报（自然科学版）》2015年第4期294-297,304,共5页Journal of Bohai University:Natural Science Edition

基　　金：国家自然科学基金(No:11371070)

摘　　要：在一致光滑Banach空间中研究用带混合型误差的修改的Ishikawa迭代序列,逼近广义一致Lipschitz渐近伪压缩型映象的不动点问题.在去掉D有界之下,使用新的分析方法,建立了强收敛定理,从而推广和改进了已知的结果。By using a new analytical method, modified Ishikawa iterative sequences with mixed errors ap- proximations problem of fixed point for generalized uniformly Lipschiz asymptotically pseudocontractive mappings are studied in uniformly smooth Banach space. Under the conditions of removing the bounded restrictions of D, a strong convergence theorem are obtained , which improve and extend some known results.

关 键 词：一致光滑BANACH空间 广义一致Lipschitz 渐近伪压缩型映象 混合误差 

分 类 号：O177.91[理学—数学]