FC-空间上Ψ-凝聚映射的不动点定理
Fixed Point Theorems for Ψ-condensing Mappings in FC-spaces
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摘要: 首先给出了FC-空间上的非紧测度和ψ-凝聚映射的定义,并讨论了该映射的一些性质,引进了FC-空间上的连续选择定理,并给出了ψ-凝聚映射的几个不动点定理.Abstract: First, the definitions of non-compact measure and Ψ-condensing mapping in FC-spaces are put forth, and then some properties of Ψ-condensing mapping are discussed. Finally the continuous selection theorem is introduced, from which several fixed point theorems for Ψ-condensing mapping are thus obtained. The results are applied to generalize the corresponding results in recent literature.