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On Parametric -Metric Spaces and Fixed-Point Type Theorems for Expansive Mappings

Author

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  • Nihal Taş
  • Nihal Yılmaz Özgür

Abstract

We introduce the notion of a parametric -metric space as generalization of a parametric metric space. Using some expansive mappings, we prove a fixed-point theorem on a parametric -metric space. It is important to obtain new fixed-point theorems on a parametric -metric space because there exist some parametric -metrics which are not generated by any parametric metric. We expect that many mathematicians will study various fixed-point theorems using new expansive mappings (or contractive mappings) in a parametric -metric space.

Suggested Citation

  • Nihal Taş & Nihal Yılmaz Özgür, 2016. "On Parametric -Metric Spaces and Fixed-Point Type Theorems for Expansive Mappings," Journal of Mathematics, Hindawi, vol. 2016, pages 1-6, November.
    • Handle: RePEc:hin:jjmath:4746732
    DOI: 10.1155/2016/4746732
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    References listed on IDEAS

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    1. N. Hussain & S. Khaleghizadeh & P. Salimi & Afrah A. N. Abdou, 2014. "A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-16, April.
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    Cited by:

    1. Ozgur Ege & Manuel De la Sen, 2019. "A New Perspective on Parametric Metric Spaces," Mathematics, MDPI, vol. 7(11), pages 1-12, October.
    2. Sunil Beniwal & Naveen Mani & Rahul Shukla & Amit Sharma, 2024. "Fixed Point Results for Compatible Mappings in Extended Parametric S b -Metric Spaces," Mathematics, MDPI, vol. 12(10), pages 1-20, May.

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    1. Ozgur Ege & Manuel De la Sen, 2019. "A New Perspective on Parametric Metric Spaces," Mathematics, MDPI, vol. 7(11), pages 1-12, October.
    2. Sunil Beniwal & Naveen Mani & Rahul Shukla & Amit Sharma, 2024. "Fixed Point Results for Compatible Mappings in Extended Parametric S b -Metric Spaces," Mathematics, MDPI, vol. 12(10), pages 1-20, May.
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