一族强单调映射的公共零点的强收敛定理  

Strong Convergence Theorems for a Common Zero Point of an Infinite Family of Strongly Monotone Mappings

作　　者：唐艳[1] 

机构地区：[1]重庆工商大学数学与统计学院

出　　处：《重庆工商大学学报（自然科学版）》2013年第3期13-16,21,共5页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：重庆工商大学教育教学改革研究项目(11420);重庆市自然科学基金资助项目(CSTC;2012jjA00039)

摘　　要：在具有一致Gateaux可微范数的Banach空间中,假设任意非空有界闭凸子集都有非扩张映射的不动点的性质,讨论并在一定条件下证明了一族强单调映射的公共零点的迭代程序的强收敛定理.In this paper,arbitrary non-empty bounded closed convex subset having properties of fixed point of nonexpansive mappings is assumed in a real Banach space of differential norm with consistent Gteaux.The strong convergence theorem for iterative scheme of a common zero point of an infinite family of strong monotone mappings is discussed and is proved under some suitable conditions.

关 键 词：单调映射 不动点 零点 强收敛 

分 类 号：O177.91[理学—数学]