1、University of science&Technology of China第三章 距离空间 本章主要介绍距离空间的定义及例子、稠密性、距离空间的完备性、不动点定理以及紧性与连续映射等相关概念和知识。University of science&Technology of ChinaUniversity of science&Technology of China3.1 距离空间的定义及例子University of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of scien
2、ce&Technology of ChinaUniversity of science&Technology of ChinaBGOBFCFEGUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&T
3、echnology of China3.2 收敛概念University of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Techno
4、logy of China3.3 距离空间的完备性和稠密性University of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Tec
5、hnology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of China3.4 距离空间的可分性与列紧性University of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&
6、Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of China3.5 距离空间上的连续映射University of science
7、&Technology of ChinaUniversity of science&Technology of China3.6 不动点定理及其应用l问题的提出及不动点l不动点定理l不动点定理的应用University of science&Technology of China3.6.1 问题的提出及不动点University of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&
8、Technology of ChinaUniversity of science&Technology of China3.6.2 不动点定理University of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Te
9、chnology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of China3.6.3 不动点定理的应用University of science&Technology of China1 在线性代数中的应用University of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of ChinaUniversity of science&Technology of China