Φ-半压缩算子不动点的迭代逼近方法(英文)  

Iterative Approximation Methods of Fixed Points for Φ-Hemicontractive Operators

作　　者：徐裕光[1] 温一新[1] 

机构地区：[1]昆明师范高等专科学校数学系,云南昆明650031

出　　处：《昆明师范高等专科学校学报》2001年第4期1-7,共7页Journal of Kunming Teachers College

基　　金：theNationalNaturalScienceFoundationofChina(199610 0 4) ;ThefoundationofYunnanEducationalCommission(99110 65 ) .

摘　　要：引入一类比重要的 -半压缩算子更为广泛的非线性Φ -半压缩算子 .应用具误差的Ishikawa或Mann迭代过程 ,在更一般的条件下研究了Φ -半压缩算子不动点的收敛性问题和Φ -增生算子方程解的逼近方法 .这些结果改进、推广和统一了Chang[3 -4 ] ,Chidume[5 -11] ,Deng[12 ] ,Ding[3 -14 ] ,Liu[16] ,Osilike[18-19] ,Xu[2 0 ] ,Zhou[2 1]中的相应的结论 .The purpose of this paper is to introduce Φ-hemicontractive operators-a class of operators which is much more general than the important class of -hemicontractive operators, and to study convergence problems of fixed point for Φ-hemicontractive operators and the approximative methods of solution of equations with Φ-accretive operator by Ishikawa and Mann iterative processes with errors in the more general settings. The results presented in this paper improve, generalize and unify the corresponding results of Chang, Chidume, Deng, Ding, Liu,Osilike, Xu, Zhou and others. 1991 MATHEMATICS SUBJECT CLASSIFICATIONS: 47H17,47H06, 47H10.

关 键 词：Φ-半压缩算子 不动点 迭代逼近方法 对偶映射 Φ-增生算子 MANN迭代 ISHIKAWA迭代 

分 类 号：O177.91[理学—数学] O241.5[理学—基础数学]