Fixed Point Theorems for Ψ-condensing Mappings in FC-spaces

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.