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

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 Classific...

Full description

Saved in:
Bibliographic Details
Published inFixed point theory and algorithms for sciences and engineering Vol. 2012; no. 1; pp. 1 - 9
Main Authors Chen, Chi-Ming, Chen, Chao-Hung
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 09.05.2012
Springer Nature B.V
BioMed Central Ltd
Subjects
Analysis
Applications of Mathematics
Classification
Differential Geometry
Existence theorems
Mapping
Mathematical analysis
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Metric space
Theorems
Topology
(
Periodic point
Meir-Keeler function
-
weak contraction mapping
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:1687-1812
1687-1820
1687-1812
2730-5422
DOI:10.1186/1687-1812-2012-79