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On Fuzzy Fixed-Point Results in Complex Valued Extended b-Metric Spaces with Application

Author

Listed:
  • Amnah Essa Shammaky
  • Jamshaid Ahmad
  • Abdelhamied Farrag Sayed
  • Carmelo Antonio Finocchiaro

Abstract

The aim of this paper is to define fuzzy contraction in the context of complex valued extended b-metric space and prove fuzzy fixed-point results. Our results improve and extend certain recent results in literature. Moreover, we discuss an illustrative example to highlight the realized improvements. As application, we derive fixed-point results for multivalued mappings in the setting of complex valued extended b-metric space.

Suggested Citation

  • Amnah Essa Shammaky & Jamshaid Ahmad & Abdelhamied Farrag Sayed & Carmelo Antonio Finocchiaro, 2021. "On Fuzzy Fixed-Point Results in Complex Valued Extended b-Metric Spaces with Application," Journal of Mathematics, Hindawi, vol. 2021, pages 1-9, September.
    • Handle: RePEc:hin:jjmath:9995897
    DOI: 10.1155/2021/9995897
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