伪压缩映像修正迭代序列的强收敛性  

Strong convergence of a modified iterative process for pseudocontractive mappings

作　　者：潘灵荣[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）》2008年第4期397-400,共4页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(10771141)

摘　　要：在严格凸自反的实Banach空间的框架下,用一种变形的隐迭代格式xt=tf(xt)+uxt+vTxt,研究一闭凸集合K上的伪压缩映像的不动点问题,当满足适当条件,且t→0,u→/0时,{xt}强收敛至T的一个不动点,并且此点也是一类变分不等式的解.A new iterative process was introduced for pseudocontractive mappings, xt = tf（ xt ） ＋ uxt ＋ vTxt, for t, u, v in [ 0, 1 ], on a closed convex subset of strictly convex and reflexive Banach spaces. It was showed that under appropriate conditions, when t→0, u→0, {xt } would converge strongly to a fixed point of T, which would be also the solution of a variational inequality.

关 键 词：隐迭代序列 不动点 强收敛 变分不等式 

分 类 号：O177.91[理学—数学]