摘要
利用2-距离空间中自映象对相容和次相容的条件,讨论了完备2-距离空间中两类Φ-压缩映象的公共不动点的存在性与唯一性,得到了两个新的公共不动点定理.
By the condition of compatible mapping pair and subcompatible mapping pair in 2-metric spaces,the paper discusses the existence and the uniqueness of common fixed point for a class of twice power type Φ-contractive mapping in complete 2-metric spaces. It obtains a new common fixed theorem.
出处
《杭州师范大学学报(自然科学版)》
CAS
2009年第6期429-431,438,共4页
Journal of Hangzhou Normal University(Natural Science Edition)
关键词
完备2-距离空间
相容映象对
次相容映象对
平方型Φ-压缩映象
公共不动点
complete 2-metric space
compatible mapping pair
subcompatible mapping
twice power type Φ-contractive type mapping
common fixed point