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A Note on Best Approximation in 0‐Complete Partial Metric Spaces

Author

Listed:
  • Marta Demma
  • Mohamed Jleli
  • Bessem Samet
  • Calogero Vetro

Abstract

We study the existence and uniqueness of best proximity points in the setting of 0‐complete partial metric spaces. We get our results by showing that the generalizations, which we have to consider, are obtained from the corresponding results in metric spaces. We introduce some new concepts and consider significant theorems to support this fact.

Suggested Citation

  • Marta Demma & Mohamed Jleli & Bessem Samet & Calogero Vetro, 2014. "A Note on Best Approximation in 0‐Complete Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:979170
    DOI: 10.1155/2014/979170
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    References listed on IDEAS

    as
    1. M. De la Sen & E. Karapinar, 2013. "Best Proximity Points of Generalized Semicyclic Impulsive Self‐Mappings: Applications to Impulsive Differential and Difference Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Mohamed Jleli & Erdal Karapınar & Bessem Samet, 2013. "Further Remarks on Fixed‐Point Theorems in the Context of Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. M. De la Sen & E. Karapinar, 2013. "Best Proximity Points of Generalized Semicyclic Impulsive Self-Mappings: Applications to Impulsive Differential and Difference Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-16, October.
    4. Mohamed Jleli & Erdal Karapınar & Bessem Samet, 2013. "Further Remarks on Fixed-Point Theorems in the Context of Partial Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, September.
    Full references (including those not matched with items on IDEAS)

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