欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
This paper consists of two parts.In the first part,we discuss the Hoder continuity of Cauchy-type integral operator T of isotonic functions and the relationship between T [f ] α and f α.In the second part,firstly,we introduce a modified Cauchy-type integral operator T′ and demonstrate that the operator T′has a unique fixed point by the Contraction Mapping Principle.Then we give the Mann iterative sequence and prove that the Mann iterative sequence strongly converges to the fixed point of the modified Cauchy-type integral operator T′.
英文摘要：
This paper consists of two parts. In the first part, we discuss the Hoelder continuity of Cauchy-type integral operator T of isotonic functions and the relationship between ｜｜T[f] ｜｜α and ｜｜f｜｜α. In the second part, firstly, we introduce a modified Cauchy-type integral operator T＇ and demonstrate that the operator T＇ has a unique fixed point by the Contraction Mapping Principle. Then we give the Mann iterative sequence and prove that the Mann iterative sequence strongly converges to the fixed point of the modified Cauchy-type integral operator T＇.
同期刊论文项目
同项目期刊论文
The Fixed Point Theorem and the Iterative Approximation of Modified Cauchy Integral Operator of Regu
期刊信息
位置：