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.
出处
《浙江师范大学学报（自然科学版）》
CAS
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)
关键词
隐迭代序列
不动点
强收敛
变分不等式
implicit iterative process
fixed point
strong convergence
variational inequality
