Banach空间中非膨胀映象和α-逆强增生算子的强收敛性  

Strong convergence for Nonexpansive Mappings andα-Inverse-Strongly Accretive Operators in Banach Spaces

作　　者：胡良根[1] 王朝[2] 王金平[1] 

机构地区：[1]宁波大学数学系,宁波315211 [2]同济大学应用数学系,上海200092

出　　处：《应用泛函分析学报》2010年第3期221-227,共7页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(60872095);浙江省教育厅科研基金(200906210);宁波市自然科学基金(2008A610018)

摘　　要：在2-一致光滑的Banach空间中,引入一种新的迭代算法研究非膨胀映象的不动点集与α-逆强增生算子的变分不等式解集的公共元素,并获得了迭代算法的强收敛性定理.而且应用这些结果考虑了非膨胀映象和严格伪压缩映象公共不动点的收敛性问题.In this paper,we introduce a new iterative algorithm for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for aα-inverse-strongly accretive operator in 2-uniformly smooth Banach spaces,and then obtain a strong convergence theorem of the iterative sequence.Furthermore,applying this result,we also concern the problems of finding a common fixed point of a nonexpansive mapping and a strictly pseudocontractive mapping.

关 键 词：变分不等式 非膨胀映象 α-逆强增生算子 2-致光滑 严格伪压缩映象 

分 类 号：O177.91[理学—数学]