Fuzzy 映象序列的公共不动点定理

Common Fixed Point Theorems for a Sequence of Fuzzy Mappiongs

由于ｆｕｚｙ系统工程等ｆｕｚｚｙ性理论的需要，１９８１年Ｈｅｌｉｐｅｒｎ首先提出ｆｕｚｚｙ映象的概念，并对压缩型ｆｕｚｚｙ映象得到了一个不动点定理，该文提出ｇ－Φ压缩型ｆｕｚｚｙ映象的新概仿，并对此类ｆｕｚｚｙ映象的序列建立了公共不动点定理，它不仅是相关结论的改进和推广。

For requirement of fuzzy system engineering, et.al.,1981,S.Heilpern first introduced the concept of fuzzy mapings and proved fixed point theorems for contraction fuzzy mappings. The paper introduced g-Φ contractive type fuzzy mappings.The common fixed point theorems of this sequence of fuzzy mapping are studied,our theorems improve and generalize the corresponding results and it can be applied in system engineering.