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

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

Abstract

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.

Suggested Citation

  • Ing-Jer Lin & Chi-Ming Chen & Erdal Karapınar, 2014. "Periodic Points of Weaker Meir‐Keeler Contractive Mappings on Generalized Quasimetric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:490450
    DOI: 10.1155/2014/490450
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