数学物理学报
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陈丽
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Chen Li
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摘要： 该文将文献 [9] 中关于一类集值迭代方程解的存在性的结果推进到更广范围的一类集值映射. 作者还研究了解对已知集值映射的连续依赖性.
关键词: 迭代, 函数方程, 集值映射, 上半连续, Banach 不动点原理
Abstract: The result on existence of solutions for a multivalued iterative equation given in [9] is extended to a larger class of multivalued functions which may be set-valued at end-points. Moreover, continuous dependence of the solution upon the given function is also obtained.
Key words: Iteration, Functional equation, Multivalued function, Upper semicontinuity, Banach’s principle
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陈丽. 一类迭代方程的集值解[J]. 数学物理学报, 2008, 28(4): 636-642.
Chen Li. Multivalued Solutions of an Iterative Equation[J]. Acta mathematica scientia,Series A, 2008, 28(4): 636-642.
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