Banach空间中一类算子方程解的迭代收敛定理  

Convergence Theorems to a Class of Operator Equations for Iteration Process in Banach Spaces

作　　者：高改良[1] 周海云[1] 陈东青[1] 

机构地区：[1]军械工程学院应用数学与力学研究所,河北石家庄050003

出　　处：《河北师范大学学报（自然科学版）》2004年第4期344-346,共3页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金资助项目(96302017);军械工程学院科学研究基金资助项目(2003yjj12)

摘　　要：通过采用强伪压缩算子和正规对偶算子相结合的方法,研究了Banach空间中一类算子方程解的迭代收敛性.与已有结果相比,该证明方法更为简捷.Convergence results to a class of nonlinear operator equations for iteration process in Banach spaces are studied by using the method of combining the strongly pseudo-contraction operator with the normalized duality operator.Being compared with those known ones,the proving method is more succinct.

关 键 词：BANACH空间 LIPSCHITZ条件 强伪压缩算子 强增生算子 迭代收敛定理 不动点 

分 类 号：O177.2[理学—数学]