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

作　　者：曾六川[1] 刘瑞娟[1] 

机构地区：[1]上海师范大学数理信息学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2002年第3期7-13,共7页Journal of Shanghai Normal University(Natural Sciences)

基　　金：ProjectsupportedbytheNationalNaturalScienceFoundationofChina( 1 980 1 0 2 3)

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 。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：非线性方程 解 迭代逼近 ISHIKAWA迭代 Lipschitz强增生算子 伪压缩映像 BANACH空间 收敛性 

分 类 号：O177.91[理学—数学]