Periodic points for the weak contraction mappings in complete generalized metric spaces

被引:6
|
作者
Chen, Chi-Ming [1 ]
Chen, Chao-Hung [2 ]
机构
[1] Natl Hsinchu Univ Educ, Dept Appl Math, Hsinchu, Taiwan
[2] Chung Yuan Christian Univ, Dept Appl Math, Chungli, Taiwan
关键词
Periodic point; Meir-Keeler function; (phi - phi)-weak contraction mapping; (psi - phi)-weak contraction mapping; BANACH-CACCIOPPOLI TYPE; THEOREM;
D O I
10.1186/1687-1812-2012-79
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we introduce the notions of (I center dot - phi)-weak contraction mappings and (psi - phi)-weak contraction mappings in complete generalized metric spaces and prove two theorems which assure the existence of a periodic point for these two types of weak contraction. Mathematical Subject Classification: 47H10; 54C60; 54H25; 55M20.
引用
收藏
页数:9
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