节点文献
Lipschitz强增生算子的非线性方程解的迭代逼近(英文)
Iterative Approximation of Solutions to Nonlinear Equations of Lipschitzian and Strongly Accretive Operators
【摘要】 研究了p一致光滑Banach空间中Lipschitz强增生算子方程解的Ishikawa的迭代过程的收敛性 ,改进与推广了一些最近结果
【Abstract】 In this paper, we investigate the Ishikawa iteration process converges strongly to the unique solution of the equation Tx=f in case T is a Lipschitzian and strongly accretive operator from X into X, or to the unique fixed point of T in case T is a Lipschitzian and strictly pseudocontractive mapping from a bounded closed convex subset into itself. Our results improve and extend some recent results.
【关键词】 Ishikawa迭代;
Lipschitz强增生算子;
伪压缩映像;
【Key words】 iterative approximation; Lipschitzian; Strongly accretive operator; pseudocontractive mapping.;
【Key words】 iterative approximation; Lipschitzian; Strongly accretive operator; pseudocontractive mapping.;
【基金】 ProjectsupportedbytheNationalNaturalScienceFoundationofChina( 1 980 1 0 2 3)
- 【文献出处】 上海师范大学学报(自然科学版) ,Journal of Shanghai Teachers University , 编辑部邮箱 ,2002年03期
- 【分类号】O241.7
- 【下载频次】14