Banach空间中的Φ-强增生算子方程解及Φ-半压缩算子不动点的存在与逼近问题  

The problem of existence and approximation for solutions of Φ-strongly accretive operator equations and fixed points of Φ-hemicontractive operators in Banach spaces

作　　者：赵富坤[1] 谢芳 何昌[3] 

机构地区：[1]云南师范大学数学学院,云南昆明650092 [2]昆明师专数学系,云南昆明650031 [3]大理学院计算机系,云南大理671000

出　　处：《云南师范大学学报（自然科学版）》2004年第2期8-12,15,共6页Journal of Yunnan Normal University:Natural Sciences Edition

摘　　要：　文章主要研究了Banach空间中的一类Φ-强增生算子方程f∈H(x)+T(x)解的存在性与逼近问题,我们证明了带有混合误差的Ishikawa迭代序列收敛到解的一个充要条件。同时还给出了一类Φ-半压缩算子不动点的存在性与逼近问题的几个新结果。The purpose of this paper is to study the existence and approximation problem of solutions for a class of nonlinear Φ-strongly accretive operator equations f∈H(x)+T(x) in Banach spaces. We establish a necessary and sufficient condition that the Ishikawa iterative sequence with mixed errors convergens strongly to solutions. And some new fixed point theorems for a class of a Φ-hemicontractive operators are obtained.

关 键 词：BANACH空间 Φ-强增生算子 Ф-半压缩算子 混合误差 ISHIKAWA迭代序列 

分 类 号：O177.2[理学—数学]