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New Fixed Point Results in - Quasi-Metric Spaces and an Application

Author

Listed:
  • Ehsan Lotfali Ghasab
  • Hamid Majani
  • Erdal Karapinar
  • Ghasem Soleimani Rad

Abstract

The main goal of the present paper is to obtain several fixed point theorems in the framework of - quasi-metric spaces, which is an extension of - metric spaces. Also, a Hausdorff - distance in these spaces is introduced, and a coincidence point theorem regarding this distance is proved. We also present some examples for the validity of the given results and consider an application to the Volterra-type integral equation.

Suggested Citation

  • Ehsan Lotfali Ghasab & Hamid Majani & Erdal Karapinar & Ghasem Soleimani Rad, 2020. "New Fixed Point Results in - Quasi-Metric Spaces and an Application," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-6, June.
    • Handle: RePEc:hin:jnlamp:9452350
    DOI: 10.1155/2020/9452350
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    Cited by:

    1. Gunaseelan Mani & Arul Joseph Gnanaprakasam & Zoran D. Mitrović & Monica-Felicia Bota, 2021. "Solving an Integral Equation via Fuzzy Triple Controlled Bipolar Metric Spaces," Mathematics, MDPI, vol. 9(24), pages 1-14, December.

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