Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric Spaces

By using the weaker Meir-Keeler function ϕ and the triangular α-admissible mapping α, we introduce the notion of (α-ϕ)-weaker Meir-Keeler contractive mappings and prove a theorem which assures the existence of a periodic point for these mappings on generalized quasimetric spaces.

Bibliographic Details
Main Authors: Ing-Jer Lin, Chi-Ming Chen, Erdal Karapınar
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/490450