渐近非扩张型映像的黏性三步迭代序列强收敛性  

Strong convergence of the viscosity three-step iterative sequences for asymptotic noexpansive mappings

作　　者：董家帅[1] 王元恒[1] 罗红平[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2012年第3期241-245,共5页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(11071169);浙江省自然科学基金资助项目(Y6100696)

摘　　要：在一致凸Banach空间中,研究了渐近非扩张映像不动点的黏性三步迭代法,证明了在一定条件下该迭代序列强收敛于T的不动点,从而改进和推广了近代相关的一些结果.A new viscosity three-step iterative method for the fixed points of asymptotic noexpansive mappings was given in uniformly convex Banach spaces. A strongly convergent theorem for this kind of iterative sequences was obtained. The results extended some recent results in literatures obtained by other authors.

关 键 词：渐近非扩张映像 不动点 三步迭代序列 黏性 

分 类 号：O177.91[理学—数学]