摘要
B．E．Rhoades在文[1]中系统地归纳总结了各种压缩型映射的定义．王尚志等在文[2]中对于三种压缩型映射给出了相应的膨胀型映射的定义,并证明了它们的不动点存在定理．本文给出弱膨胀映射的定义,并证明了更一般的不动点存在定理,文[2]中三个不动点定理都是它的推论．
B.E. Rhoades summarized the contraction mapping of some types. Wang Shangzhi, and so forth, defined three expansion mappings which correspond three contraction mappings and proved their fixed point theorems. In this paper, the weak expansion mapping is defined and its fixed point theorem is given. It is a general result. The three fixed theorems in [2] are all its corollaries.
出处
《南京大学学报（数学半年刊）》
CAS
2006年第2期334-340,共7页
Journal of Nanjing University(Mathematical Biquarterly)
基金
中国民航总局中青年教育研究基金项目资助(01-3-01).
关键词
压缩映射
膨胀映射
弱膨胀映射
不动点
contraction mapping, expansion mapping, weak expansion mapping
fixed-point
