集值映射的Krasnoselskii型不动点
On the Krasnoselskii-Type Fixed Point of Set-Valued Mapping
摘要:
利用E. Zeidler不动点定理,证明了将Krasnoselskii不动点定理中的单值映射A推广到集值映射的情况下算子A + B的不动点的存在性。
Abstract:
Using E. Zeidler fixed point theorem, the fixed point of the operator A + B has been obtained, where A is from a single value mapping to a set-valued mapping.
参考文献
|
[1]
|
Liu, Y.C. and Li, Z.X. (2008) Kraasnolelskii Fixed Point Theorems and Applications. Proceedings of the American Mathematical Society, 136, 1213-1220. [Google Scholar] [CrossRef]
|
|
[2]
|
Burton, T. (1998) A Fixed-Point Theorem of Kraasnolelskii. Applied Mathematics Letters, 11, 85-88. [Google Scholar] [CrossRef]
|
|
[3]
|
Ok, E.A. (2009) Fixed Set Theorems of Kraasnolelskii Type. Proceedings of the American Mathematical Society, 137, 511-518. [Google Scholar] [CrossRef]
|
|
[4]
|
Dhage, B.C. (2003) Remarks on Two Fixed-Point Theorems Involving the Sum and the Product of Two Operators. Computers & Mathematics with Applications, 46, 1779-1785. [Google Scholar] [CrossRef]
|
|
[5]
|
Henry, D. (1981) Geometric Theory of Semilinear Parabolic Equations. Springer-Verlag, Berlin-New York. [Google Scholar] [CrossRef]
|
|
[6]
|
俞建. 博弈论与非线性分析[M]. 北京: 科学出版社, 2007.
|