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Theorems for Boyd–Wong Contraction Mappings on Similarity Spaces

Author

Listed:
  • Ondrej Rozinek

    (Department of Process Control, University of Pardubice, 532 10 Pardubice, Czech Republic)

  • Monika Borkovcova

    (Department of Information Technology, University of Pardubice, 532 10 Pardubice, Czech Republic)

Abstract

In this article, we introduce novel fixed point results for Boyd–Wong-type contraction mappings within the framework of similarity spaces, which have broad practical applications. The development of these results extends the classical theory of Boyd–Wong contractions by exploiting the unique structure and properties of similarity spaces. We provide an in-depth examination of the derived contractions, establishing conditions under which fixed points exist and are unique. In the latter part of the paper, we illustrate the applicability and effectiveness of the proposed results with representative examples.

Suggested Citation

  • Ondrej Rozinek & Monika Borkovcova, 2023. "Theorems for Boyd–Wong Contraction Mappings on Similarity Spaces," Mathematics, MDPI, vol. 11(20), pages 1-10, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:20:p:4359-:d:1263840
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    References listed on IDEAS

    as
    1. Hassen Aydi & Wasfi Shatanawi & Mihai Postolache & Zead Mustafa & Nedal Tahat, 2012. "Theorems for Boyd-Wong-Type Contractions in Ordered Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, September.
    2. 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.
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