Approximative Method of Fixed Point for Φ-Pseudocontractive Operator and an Application to Equation with Accretive Operator  

作　　者：Yixin Wen Aifang Feng Yuguang Xu 

机构地区：[1]Department of Mathematics, Kunming University, Kunming, China

出　　处：《Journal of Applied Mathematics and Physics》2014年第1期21-25,共5页应用数学与应用物理（英文）

摘　　要：In this paper, Φ-pseudo-contractive operators and Φ-accretive operators, more general than the strongly pseudo-contractive operators and strongly accretive operators, are introduced. By setting up a new inequality, authors proved that if ?is a uniformly continuous Φ-pseudo-contractive operator then T has unique fixed point q and the Mann iterative sequence with random errors approximates to q. As an application, the iterative solution of nonlinear equation with Φ-accretive operator is obtained. The results presented in this paper improve and generalize some corresponding results in recent literature.In this paper, Φ-pseudo-contractive operators and Φ-accretive operators, more general than the strongly pseudo-contractive operators and strongly accretive operators, are introduced. By setting up a new inequality, authors proved that if ?is a uniformly continuous Φ-pseudo-contractive operator then T has unique fixed point q and the Mann iterative sequence with random errors approximates to q. As an application, the iterative solution of nonlinear equation with Φ-accretive operator is obtained. The results presented in this paper improve and generalize some corresponding results in recent literature.

关 键 词：DUALITY Mapping Φ-Pseudo-Contractive OPERATOR Φ-Accretive OPERATOR MANN ITERATIVE Sequence with Random Error Terms 

分 类 号：O1[理学—数学]