k-次增生与k-次散逸算子方程带误差的迭代序列收敛率的估计  

Convergence Rate Estimate of Iterative Sequences with Error for k-Subaccretive and k-Dissipative Operator Equation

作　　者：张树义[1] 

机构地区：[1]渤海大学数学系,锦州121000

出　　处：《应用泛函分析学报》2010年第4期352-362,共11页Acta Analysis Functionalis Applicata

摘　　要：在任意实Banach空间中,研究了Lipschitz的k-次增生算子方程x+Tx=f和k-次散逸算子方程x-λTx=f的解的带误差的收敛性与稳定性问题,并给出了收敛率的估计式,从而在很大程度上统一和发展了有关文献中的相应结果.Convergence and stability of iteration sequences with error for equation with a Lipschitz k-subaccretive operators x＋Tx = f and k-dissipative operators x-λTx = f are studied in arbitrary real Banach spaces. Furthermore, a general convergence rate estimate is given in our results, which largely unify and extend the corresponding results in some references.

关 键 词：K-次增生算子 k-次散逸算子 T-稳定性 收敛率估计 带误差的迭代序列 

分 类 号：O177.91[理学—数学]