关于紧映射的不动点

ON FIXED POINT FOR COMPACT MAPPINGS

证明了紧映射的若干不动点定理，给出了一个紧映射具有不动点的两个充要条件，推广了Ｊｕｎｇｃｋ，Ｊａｎｏｓ，Ｐａｒｋ，Ｋｉｍ和Ｌｅｅ，Ｐａｒｋ，Ｆｉｓｈｅｒ，Ｓｈｉｈ和Ｙｅｈ及Ｌｅａｄｅｒ的结果．

n this paper the author proves some fixed point theorems for compaCt mappings, gives two necessary and sufficient conditions for the existence of fixed point of a compact mapping.The results extend corresponding results of Jungck, Janos, Pack, Kim and Lee, Park, Fisher, Shih and Yeh and Leader.