PM-空间中混合压缩的不动点定理与重合点定理  

Fixed Point Theorems and Coincidence PointTheorems for Hybrid Contractions in PM-Spaces

作　　者：吴照奇[1] 朱传喜[1] 陈晓莉[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《应用泛函分析学报》2008年第4期339-345,共7页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(10461007;10761007);江西省自然科学基金(0411043;2007GZS2051)

摘　　要：引进了Menger PM-空间中多值情形下的相容映象和弱相容映象概念,并研究了二者之间的联系.在此基础上,获得了Menger PM-空间中若干新的不动点和重合点定理.最后,给出了这一结果在度量空间中的应用.The concepts of compatible mappings and weakly compatible mappings in multi-valued case in Menger PM-spaces were introduced, and the relation between them was studied. Based on this, some fixed point theorems and coincidence point theorems in Menger PM-spaces were obtained. Finally, some applications in metric spaces were presented.

关 键 词：MENGER PM-空间 不动点和重合点 多值映象 弱相容映象 

分 类 号：O177.91[理学—数学]