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

Fixexd point theory and applications

Chao-Hung Chen¹  Chi-Ming Chen² 

[1] Department of Applied Mathematics, Chung Yuan Christian University, Chungli City, Taiwan;Department of Applied Mathematics, National Hsinchu University of Education, Hsin-Chu, Taiwan

关键词: Periodic point;    Meir-Keeler function;    (ϕ - φ)-weak contraction mapping;    (ψ - φ)-weak contraction mapping;   

DOI  :  10.1186/1687-1812-2012-79

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we introduce the notions of (ϕ - φ)-weak contraction mappings and (ψ - φ)-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.

【 授权许可】

CC BY