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《应用数学和力学(英文版)》 2000-11

## ITERATIVE PROCESS TO -HEMICONTRACTIVE OPERATOR AND-STRONGLY ACCRETIVE OPERATOR EQUATIONS

DING Xie_ping ZHANG Hong_lin(Department of Mathematics, Sichuan Normal University, Chengdu 610066, P R China)
Let E be an arbitrary real Banach space and K be a nonempty closed convex subsets of E. Let T:K→K be a uniformly continuous _hemicontractive operator with bounded range and a n,b n,c n,a ′ n,b ′ n,c ′ n be sequences in [0,1] satisfying:ⅰ) a n+b n+c n=a ′ n+b ′ n+c ′ n=1. n≥0; ⅱ) lim b n= lim b ′ n= lim c ′ n= 0; ⅲ)∑∞n=0b n=∞; ⅳ) c n=o(b n). For any given x 0,u 0,v 0∈K, define the Ishikawa type iterative sequence x n as follows: x n+1 =a nx n+b nTy n+c nu n, y n=a ′ nx n+b ′ nTx n+c ′ nv n (n≥0), where u n and v n are bounded sequences in K. Then x n converges strongly to the unique fixed point of T. Related result deals with the convergence of Ishikawa type iterative sequence to the solution of _strongly accretive operator equations.
【Fund】： theNationalNaturalScienceFoundationofChina (1 9871 0 5 9)
【CateGory Index】： O177.91 Download(CAJ format) Download(PDF format)
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 【Co-citations】
 Chinese Journal Full-text Database 2 Hits
 1 LIU Xi-biao~1XU Yu-guang~2 (1. Department of Finance Yunnan University of Finance and Economics, Kunming 650221,China; 2.Department of Mathematics of Kunming Teachers College ,Kunming 650031,China);The existence and convergence of solution of Equation with quasi-accretive operator in a real normed linear space[J];Journal of Yunnan Normal University (Natural Sciences Edition);2004-04 2 HUANG Zhen-yu (Department of Mathematics, Nanjing University, Nanjing 210093, P R China) (Communicated by DING Xie-ping);ISHIKAWA ITERATIVE PROCESS IN UNIFORMLY SMOOTH BANACH SPACES[J];应用数学和力学(英文版);2001-11