渐近非扩张型映像不动点的粘性逼近法  

A new viscosity approximating method for the fixed points of asymptotically nonexpansive mappings

作　　者：李柳红[1] 王元恒[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）》2015年第1期41-46,共6页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(11271330);浙江省自然科学基金资助项目(LY14A010011)

摘　　要：在一致凸Banach空间E的非空闭凸子集C上研究了渐近非扩张映像T不动点问题,引入了一种新的更加广泛的粘性逼近迭代算法,在适当条件下证明了该迭代序列{xn}强收敛于映像T的不动点x*∈F(T),并且x*是一个变分不等式的解.所得结果改进和推广了其他相应结果.A new viscosity approximating method was introduced for the fixed points of an asymptotically non-expansive mapping T in a nonempty closed convex subset C of an uniformly convex Banach space E. Under certain appropriate conditions, it was proved that the new iterative sequence{xn} converges strongly to a fixed point x＊∈ F（T）, which would be also the solution of a variational inequality. The results improved and extended the corresponding results reported by some other authors.

关 键 词：粘性逼近 渐近非扩张映像 不动点 变分不等式 强收敛 

分 类 号：O177.91[理学—数学]