构造压缩函数用Mann迭代求不动点
On the Existence of Fixed Point via Mann Iterates and Constructing Compression Function
摘要:
本文研究一类不满足Mann迭代的函数的不动点的存在性。通过构造压缩函数，我们使用Mann迭代方法得到了不动点。
Abstract: This paper considers the existence of fixed points of a function which cannot be applied to the Mann iterates. By constructing some compression function, we obtain the fixed point via Mann iteration method.
参考文献
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D. Borwein, J. Borwein, Fixed point iterations for real functions. Journal of Mathematical Analysis and Applications, 1991, 157(1): 112-126.
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华东师范大学数学系. 数学分析(上、下)[M]. 北京: 高等教育出版社, 2001.
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