摘要
本文证明了一类Ｃａｒｉｓｔｉ型的单值映象、多值映象、映象对和映象族的公共不动点定理．作为应用，讨论了一类新型的扩张映象的不动点定理，去掉了通常要求的“满射条件”，为扩张型映象不动点定理的研究开辟了新的途径。
Some common fixed point theorems for a class of single and multi-valued mappings,a pair or a family of Caristi's versions of mappings are given. As applications,some fixed point theorems for expansive are obtained by abandonning the usual' surjectivecondition'.
