Iterative Scheme for Non-expansive Semigroups in Hilbert Space

摘要：

The main result of this paper is that I consider two iterative methods that generate the sequence xn, Yn by the algorithm, respectively. xn=(I-αn)T(tn)xn+αnγf(xn),(1.3) yn+1=(I-αn)T(tn)yn+αnγf(yn),(1.4) where xn and tn are two sequences satisfying certain conditions and Ω = S(t) : t ≥ 0 is a non-expansive semigroup on H.It is proved that the sequence xn, yn generated by the iterative method (1.3) and (1.4), respectively, converges strongly to a common fixed point x* (E) F which solves the variational inequality (A-γf)x*,x* - z) ≤0,Z (E) F(Ω).

作者: Xiufang Liu

作者单位: Department of Mathematics Tianjin Polytechnic University Tianjin, China 300160

会议类型: 国际会议

会议名称: 2009 Second International Conference on Intelligent Computation Technology and Automation(2009 第二届IEEE智能计算与自动化国际会议 ICICTA 2009)

会议地点: 长沙

会议语种:英文

页码: 3521-3524

在线出版日期: 2009-10-10（万方平台首次上网日期，不代表论文的发表时间）