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A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces

Author

Listed:
  • N. Hussain
  • S. Khaleghizadeh
  • P. Salimi
  • Afrah A. N. Abdou

Abstract

The aim of this paper is to propose some fixed point theorems in complete parametric metric spaces. Using these theorems, we deduce as corollaries the recent results of Ionescu et al. Moreover, we suggest some new contractions and prove certain fixed point theorems in triangular intuitionistic fuzzy metric spaces. We also discuss some illustrative examples to highlight the realized improvements.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlaaa:690139
    DOI: 10.1155/2014/690139
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    Cited by:

    1. 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.
    2. Ozgur Ege & Manuel De la Sen, 2019. "A New Perspective on Parametric Metric Spaces," Mathematics, MDPI, vol. 7(11), pages 1-12, October.
    3. 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.
    4. Raivis Bēts & Alexander Šostak, 2023. "Fuzzy Approximating Metrics, Approximating Parametrized Metrics and Their Relations with Fuzzy Partial Metrics," Mathematics, MDPI, vol. 11(15), pages 1-11, July.

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