正則函數(shù)的修正的Cauchy型積分算子的不動點(diǎn)定理及迭代構(gòu)造

In the first part of this paper, we discuss the Holder continuity of the cauchy integral operator for regular functions and the relation between ‖T[f] ‖α and ‖f‖α. In the second part of this paper, we introduce the modified cauchy integral operator T for regular functions. Firstly,we prove that the operator T has a unique fixed point by the Banach's Contraction Mapping Principle. Secondly, we give the Mann iterative sequence, and then we show the iterative sequence strongly converges to the fixed point of the operator T.

作 者： 王麗萍 彭維玲 肖卓峰 WANG Li Ping PENG Wei Ling XIAO Zhuo Feng   作者單位： 王麗萍,WANG Li Ping(School of Mathematics and Information Science, Hebei Normal University, Hebei 050016, China)

彭維玲,PENG Wei Ling(Department of Mathematics, Tonghua Teachers College, Jilin 134002, China)

肖卓峰,XIAO Zhuo Feng(Tibetan College of Hebei Normal University, Hebei 050091, China) 

刊 名： 數(shù)學(xué)研究與評論  ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION  年，卷(期)： 2008 28(3)  分類號： O177.4 O177.91  關(guān)鍵詞： real Clifford analysis   regular function   cauchy integral   the fixed point   manniteration  

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