摘要
在希尔伯特空间中研究了一类新的连续伪压缩映射的广义迭代过程xn=αnγf(xn-1)+(I-αnA)Txnn≥0并证明了由该迭代算法生成的序列{xn}的收敛点为变分不等式〈(γf-A)p,y-p〉≤0 y∈F(T)的解.
The purpose of this paper is to prove that the sequence {xn} generated by the iterative method xn=αnγf(xn-1)+(I-αnA)Txn n≥0converges strongly to a fixed point p∈F(T) which solves the variational inequality 〈(γf-A)p,y-p〉≤0 y∈F(T)
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2012年第4期46-49,共4页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
连续伪压缩映射
强正线性有界算子
变分不等式
continuous pseudocontractive mapping
strongly positive linear bounded operator
variational inequality