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Comparison Functions and Fixed Point Results in Partial Metric Spaces

Author

Listed:
  • Nawab Hussain
  • Zoran Kadelburg
  • Stojan Radenović
  • Falleh Al-Solamy

Abstract

The aim of this article is to clearly formulate various possible assumptions for a comparison function in contractive conditions and to deduce respective (common) fixed point results in partial metric spaces. Since standard metric spaces are special cases, these results also apply for them. We will show by examples that there exist situations when a partial metric result can be applied, while the standard metric one cannot.

Suggested Citation

  • Nawab Hussain & Zoran Kadelburg & Stojan Radenović & Falleh Al-Solamy, 2012. "Comparison Functions and Fixed Point Results in Partial Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, June.
    • Handle: RePEc:hin:jnlaaa:605781
    DOI: 10.1155/2012/605781
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    Cited by:

    1. Mujahid Abbas & Hassen Aydi & Stojan Radenović, 2012. "Fixed Point of -Hardy-Rogers Contractive Mappings in Partially Ordered Partial Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-11, September.
    2. Erdal Karapınar & Ravi P. Agarwal & Seher Sultan Yeşilkaya & Chao Wang, 2022. "Fixed-Point Results for Meir–Keeler Type Contractions in Partial Metric Spaces: A Survey," Mathematics, MDPI, vol. 10(17), pages 1-76, August.
    3. Ebrahem Ateatullah Algehyne & Musaad Sabih Aldhabani & Faizan Ahmad Khan, 2023. "Relational Contractions Involving (c)-Comparison Functions with Applications to Boundary Value Problems," Mathematics, MDPI, vol. 11(6), pages 1-11, March.
    4. Ondrej Rozinek & Monika Borkovcova, 2023. "Theorems for Boyd–Wong Contraction Mappings on Similarity Spaces," Mathematics, MDPI, vol. 11(20), pages 1-10, October.

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