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一类迭代方程的集值解 被引量:4

Multivalued Solutions of an Iterative Equation
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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. 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.
作者 陈丽
出处 《数学物理学报(A辑)》 CSCD 北大核心 2008年第4期636-642,共7页 Acta Mathematica Scientia
基金 国家自然科学基金(10471101)资助
关键词 迭代 函数方程 集值映射 上半连续 Banach不动点原理. Iteration Functional equation Multivalued function Upper semicontinuity Banach's principle.
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参考文献17

  • 1Baron K, Jarczyk W. Recent results on functional equations in a single variable, perspectives and open problems. Aequationes Math, 2001, 61:1-48
  • 2Hu S, Papageorgiou N S. Handbook of Multivalued Analysis. Dordrecht-Boston-London: Kluwer Academic Publishers, 1997
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  • 6麦结华,刘新和.一类迭代函数方程的C^m解的存在性、唯一性和稳定性[J].中国科学(A辑),2000,30(2):129-144. 被引量:6
  • 7Nikodem K. On Jensen's functional equation for set-valued functions. Radovi Mat, 1987, 3:23-33
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  • 9Nikodem K, Zhang W. On a multivalued iterative equation. Publ Math Debrecen, 2004, 64(3-4): 427-435
  • 10Powieria T. Set-valued iterative square roots of bijections. Bull Acad Polon Sci Ser Sci Math, 1999, 47: 377-383

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