φ-强增生算子方程的迭代解  

Iterative solution for φ-strongly accretive operator equations

作　　者：张树义[1] 刘平[1] 邵颖[1] 王俊[1] 

机构地区：[1]渤海大学数学系,辽宁锦州121013

出　　处：《渤海大学学报（自然科学版）》2008年第3期228-233,共6页Journal of Bohai University:Natural Science Edition

基　　金：辽宁省教育厅科研基金资助项目(No:2005020)

摘　　要：使用分析的技巧,在实Banach空间中研究了φ-强增生算子方程Tx=f和x+Tx=f解的Ishikawa和Mann迭代逼近问题,并且提供了更为一般的收敛率的估计。By using analtyical techniques , the iterative solution is studied for equation and a Lipschitz φ-strongly accretive operators in arbitrary real Banach spaces. Furthermore , a general convergence rate estimate is given in our results , which extend and improve the corresponding results in some relerences.

关 键 词：Φ-强增生算子 Φ-半压缩映象 收敛率的估计 ISHIKAWA迭代序列 MANN迭代序列 

分 类 号：O177.91[理学—数学]