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A Generalization of b -Metric Space and Some Fixed Point Theorems

Author

Listed:
  • Tayyab Kamran

    (Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
    Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, H-12, Islamabad 44000, Pakistan)

  • Maria Samreen

    (Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan)

  • Qurat UL Ain

    (Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan)

Abstract

In this paper, inspired by the concept of b -metric space, we introduce the concept of extended b -metric space. We also establish some fixed point theorems for self-mappings defined on such spaces. Our results extend/generalize many pre-existing results in literature.

Suggested Citation

  • Tayyab Kamran & Maria Samreen & Qurat UL Ain, 2017. "A Generalization of b -Metric Space and Some Fixed Point Theorems," Mathematics, MDPI, vol. 5(2), pages 1-7, March.
    • Handle: RePEc:gam:jmathe:v:5:y:2017:i:2:p:19-:d:93907
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    References listed on IDEAS

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    1. Maria Samreen & Tayyab Kamran & Naseer Shahzad, 2013. "Some Fixed Point Theorems in -Metric Space Endowed with Graph," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, October.
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    Cited by:

    1. Amiri, Pari & Afshari, Hojjat, 2022. "Common fixed point results for multi-valued mappings in complex-valued double controlled metric spaces and their applications to the existence of solution of fractional integral inclusion systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).

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      Keywords

      fixed point; b -metric;

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