Banach空间中k-次增生算子方程带误差的迭代序列的收敛性  

Convergence of iterative sequences with error for k-subaccretive operators in Banach space

作　　者：张树义[1] 马超[1] 郭新琪[1] 

机构地区：[1]渤海大学数学系,辽宁锦州121000

出　　处：《南阳师范学院学报》2011年第3期4-9,共6页Journal of Nanyang Normal University

摘　　要：在实Banach空间中,研究了L ipsch itz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和稳定性问题,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 space.Furthermore,a general convergence rate estimate is given in our result,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 带误差的迭代序列 

分 类 号：O177.91[理学—数学]