集值严格集-压缩映象的一致极限的不动点指数及其应用

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Fixed Point Index of Uniform Limit of Set-Valued Strict Set-Contractive Mappings and Its Applications

摘要: 在本文中,我们研究了一类集值严格集-压缩映象的一致极限映象.建立了这类一致极限映象的不动点指数理论,证明了某些正不动点定理.我们的定理推广了Fitzpatrick和Petryshyn的某些最近结果.
- 不动点指数 /
- 不动点定理 /
- 满射定理
Abstract: In this paper, the class of uniform limit mappings of set-valued, strick set-contractive mappings is discussed.Furthermore, the fixed point index theory for the uniform limit mappings is established.Using the fixed point index theory, some positive fixed point theorems are proved.Our theorems generalize some results in [1,4,5,7].
- fixed point index /
- fixed point theorem /
- subjectivity theorem

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