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Fixed Point Results for Cirić and Almost Contractions in Convex b -Metric Spaces

Author

Listed:
  • Savita Rathee

    (Department of Mathematics, Maharshi Dayanand University, Rohtak 124001, Haryana, India)

  • Anshuka Kadyan

    (Department of Mathematics, Maharshi Dayanand University, Rohtak 124001, Haryana, India)

  • Anil Kumar

    (Department of Mathematics, Government College for Women Sampla, Rohtak 124501, Haryana, India)

  • Kenan Tas

    (Department of Mathematics, Usak University, Bir Eylul Campus, Usak 64200, Turkey)

Abstract

We establish a fixed point theorem for Cirić contraction in the context of convex b -metric spaces. Furthermore, we ensure that there is a fixed point for the maps satisfying the condition (B) (a kind of almost contraction) in convex b -metric spaces and demonstrate its uniqueness as well. Supporting examples to substantiate the generality of the proved results are given.

Suggested Citation

  • Savita Rathee & Anshuka Kadyan & Anil Kumar & Kenan Tas, 2022. "Fixed Point Results for Cirić and Almost Contractions in Convex b -Metric Spaces," Mathematics, MDPI, vol. 10(3), pages 1-21, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:466-:d:739332
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    References listed on IDEAS

    as
    1. Hui-Sheng Ding & Zoran Kadelburg & Erdal Karapınar & Stojan Radenović, 2012. "Common Fixed Points of Weak Contractions in Cone Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, May.
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