复值度量空间上Banach收缩原理和I-膨胀映射的不动点定理  

Banach contractive principle and fixed point theorem for I-expansive mappings on complex valued metric spaces

作　　者：严今石 朴勇杰[2] 南华[2] 

机构地区：[1]延边教育出版社,吉林延吉133001 [2]延边大学理学院数学系,吉林延吉133002

出　　处：《云南大学学报（自然科学版）》2014年第2期162-167,共6页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金(11361064);吉林省教育厅"十二五"科研项目(吉教科合字[2011]第434号)

摘　　要：构造复值度量空间上的收敛序列并证明该序列的唯一极限正是满足由两个实值函数决定的收缩条件或I-膨胀条件的映射的唯一不动点.所得结论推广和改进了实度量空间上的Banach收缩原理和I-膨胀映射的不动点定理.The convergent sequences in complex valued metric spaces are constructed, and that the unique limits of the sequences are the unique fixed points of the mappings satisfying contractive conditions or I - expan- sive conditions determined by two real functions is proved. The obtained results generalize and improve the Ba- nach contractive principle and the fixed point theorem of the I - expansive mapping on real metric spaces.

关 键 词：复值度量空间 I-膨胀映射 Chauchy序列 不动点 

分 类 号：O177.91[理学—数学]