ITERATIVE PROCESS FOR CERTAIN NONLINEAR MAPPINGS WITH LIPSCHITZ CONDITION  

作　　者：GU Feng(谷峰) 

机构地区：[1]Department of Mathematics, Qiqihar University, Qiqihar, Heilongjiang 161006, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2001年第12期1458-1467,共10页应用数学和力学（英文版）

摘　　要：Using the new analysis techniques, the problem of iterative approximation of solutions of the equation for Lipschitz phi-strongly accretive operators and of fixed points for Lipschitz phi-strongly pseudo-contractive mappings are discussed. The main results of this paper improve and extend the corresponding results obtained by Chang, Chidume, Deng, Ding, Tan-Xu and Osilike.Using the new analysis techniques, the problem of iterative approximation of solutions of the equation for Lipschitz phi-strongly accretive operators and of fixed points for Lipschitz phi-strongly pseudo-contractive mappings are discussed. The main results of this paper improve and extend the corresponding results obtained by Chang, Chidume, Deng, Ding, Tan-Xu and Osilike.

关 键 词：phi-strongly accretive operator phi-strongly pseudo-contractive mapping Ishikawa iterative sequence Mann iterative sequence 

分 类 号：O177.91[理学—数学]