Periodic points for the weak contraction mappings in complete generalized metric spaces
1 Department of Applied Mathematics, National Hsinchu University of Education, Hsin-Chu, Taiwan
2 Department of Applied Mathematics, Chung Yuan Christian University, Chungli City, Taiwan
Fixed Point Theory and Applications 2012, 2012:79 doi:10.1186/1687-1812-2012-79Published: 9 May 2012
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.