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Remarks on -Metric Spaces

Author

Listed:
  • Bessem Samet
  • Calogero Vetro
  • Francesca Vetro

Abstract

In 2005, Mustafa and Sims (2006) introduced and studied a new class of generalized metric spaces, which are called -metric spaces, as a generalization of metric spaces. We establish some useful propositions to show that many fixed point theorems on (nonsymmetric) -metric spaces given recently by many authors follow directly from well-known theorems on metric spaces. Our technique can be easily extended to other results as shown in application.

Suggested Citation

  • Bessem Samet & Calogero Vetro & Francesca Vetro, 2013. "Remarks on -Metric Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-6, January.
    • Handle: RePEc:hin:ijanal:917158
    DOI: 10.1155/2013/917158
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    References listed on IDEAS

    as
    1. Zead Mustafa & Wasfi Shatanawi & Malik Bataineh, 2009. "Existence of Fixed Point Results in ð º -Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-10, July.
    2. Cristina Di Bari & Calogero Vetro, 2008. "Common Fixed Point Theorems for Weakly Compatible Maps Satisfying a General Contractive Condition," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2008, pages 1-8, October.
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