广义Lipschitz Φ-增生算子的带误差项的Ishikawa迭代序列的收敛性及应用  

Convergence of Generalized Lipschitz Generalized Φ-Accretive Operator by Ishikawa Iteration Sequences with Errors and Applications

作　　者：薛志群[1] 汪志明[2] 

机构地区：[1]石家庄铁道学院数理系,河北石家庄050043 [2]唐山学院基础部,河北唐山063000

出　　处：《应用泛函分析学报》2006年第4期344-352,共9页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(19971068);石家庄铁道学院专项科研基金(Q33)

摘　　要：在一致光滑Banach空间中,证明了广义LipschitzΦ-增生算子的带误差项的Ishikawa迭代序列强收敛于方程Tx=f的解,其结果改进和扩展了近期许多相关结果.并由此得出了Ishikawa迭代序列稳定性的一些结果.In this paper, we have proved that approximation problem on the solution of equation by generalized Lipsehitzian φ-aeeretive operator Ishikawa iterative sequence with errors in uniformly smooth Banach. These results improve and extend the recent corresponding results. And obtain some results of stability of Ishikawa iterative sequence with errors.

关 键 词：广义Lipschitz算子 φ-增生算子 φ-伪压缩算子 带误差项的Ishikawa迭代序列 稳定性 一致光滑BANACH空间 

分 类 号：O177.91[理学—数学]