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PM-空间中混合压缩的不动点定理与重合点定理
引用本文:吴照奇,朱传喜,陈晓莉.PM-空间中混合压缩的不动点定理与重合点定理[J].应用泛函分析学报,2008,10(4):339-345.
作者姓名:吴照奇  朱传喜  陈晓莉
作者单位:南昌大学数学系,江西,南昌,330031
基金项目:国家自然科学基金 , 江西省自然科学基金  
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.

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

Fixed Point Theorems and Coincidence Point Theorems for Hybrid Contractions in PM-Spaces
WU Zhao-qi,ZHU Chuan-xi,CHEN Xiao-li.Fixed Point Theorems and Coincidence Point Theorems for Hybrid Contractions in PM-Spaces[J].Acta Analysis Functionalis Applicata,2008,10(4):339-345.
Authors:WU Zhao-qi  ZHU Chuan-xi  CHEN Xiao-li
Institution:WU Zhao-qi ZHU Chuan-xi CHEN Xiao-li Department of Mathematics,Nanchang University,Nanchang 330031,China
Abstract: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.
Keywords:Menger PM-space  fixed point and coincidence point  multi-valued mapping  weakly compatible mapping
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