几乎渐近拟非扩张型映象具混合误差的迭代逼近问题  

Iterative Approximation Problem for Almost Asymptotically Quasi-nonexpansive Type Mappings

作　　者：冯先智[1] 倪仁兴[2] 

机构地区：[1]台州学院数学系,临海317000 [2]绍兴文理学院数学系,绍兴312000

出　　处：《工程数学学报》2006年第4期697-703,共7页Chinese Journal of Engineering Mathematics

基　　金：浙江省自然科学基金(102002)浙江省教育厅科研项目(20040292).

摘　　要：通过引入一类新的几乎渐近拟非扩张型映象,研究了此映象的不动点具混合误差项的修正的Ishikawa迭代序列的迭代逼近问题,所得结果改进和推广了已有相关结果,且所用的证明方法也不全相同。A new class of almost asymptotically quasi-nonexpansive type mappings is introduced. Some iterative approximation problems of modified Ishikawa iterative sequence with mixed error terms for approximating fixed points of almost asymptotically quasi-nonexpansive type mappings is investigated. The results improve some recent results. Our proof methods are also different from existing ones.

关 键 词：几乎渐近拟非扩张型映象 几乎渐近非扩张型映象 ISHIKAWA迭代序列 不动点 

分 类 号：O177.91[理学—数学]