Hausdorff局部凸空间内集值终归紧映象的不动点指数及其应用<sup>*</sup>

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Hausdorff局部凸空间内集值终归紧映象的不动点指数及其应用^*

基金项目: 中国科学院科学基金资助的课题

摘要: 在本文内我们对Hausdorff局部凸拓扑矢量空间内的集值终归紧映象定义了不动点指数概念,利用此概念,我们证明了集值φ-凝聚映象的几个非零不动点定理,这些定理推广了[1,2,7,8,9]中的某些已知结果。

Abstract: The author defines a concept of fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex spaces. Using this concept, the author establishes several nonzero fixed point theorems of set-valued Φ-condensing mappings. These theorems extend some known results in [1,2,7,8,9].

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