Banach空间中非线性Lipschitz强伪压缩算子方程的收敛性  

Convergence for Nonlinear Lipschitz Strong Pseudo-contractive Operator Equations in Banach Space

作　　者：刘惠清[1] 何震[1] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002

出　　处：《河北大学学报（自然科学版）》2004年第4期353-356,共4页Journal of Hebei University(Natural Science Edition)

摘　　要：在任意Banach空间中,在迭代参数没有任何几何限制的情况下,对非线性增生和伪压缩算子方程引入三重迭代程序,研究其收敛性问题.新的迭代程序强收敛到算子方程Tx=f或x+Tx=f的唯一解,Ishikawa迭代和Mann迭代将作为本迭代程序的特例.The purpose of this paper is to introduce a three-step iterative scheme and to study its convergence problem for nonlinear accretive and strongly pseudo-contractive operator equations in arbitrary Banach spaces without any geometric restrictions on the iteration parameters. The new iterative scheme converges strongly to the unique solution of the operator equation Tx=f or x+Tx=f. The scheme includes Ishikawa-type and Mann-type iterations as the special cases.

关 键 词：BANACH空间 增生和伪压缩算子 三重迭代 

分 类 号：O157.3[理学—数学]