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

Ing-Jer Lin; Chi-Ming Chen; Erdal Karapınar

doi:10.1155/2014/490450

Abstract and Applied Analysis (Jan 2014)

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

Ing-Jer Lin,
Chi-Ming Chen,
Erdal Karapınar

Affiliations

Ing-Jer Lin: Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, Taiwan
Chi-Ming Chen: Department of Applied Mathematics, National Hsinchu University of Education, Taiwan
Erdal Karapınar: Department of Mathematics, Atilim University, Incek, 06836 Ankara, Turkey

DOI: https://doi.org/10.1155/2014/490450
Journal volume & issue: Vol. 2014

Abstract

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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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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