2
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      On Pentagonal Controlled Fuzzy Metric Spaces with an Application to Dynamic Market Equilibrium

      1 , 2 , 2 , 1
      Journal of Function Spaces
      Hindawi Limited

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          In this manuscript, we coined pentagonal controlled fuzzy metric spaces and fuzzy controlled hexagonal metric space as generalizations of fuzzy triple controlled metric spaces and fuzzy extended hexagonal b-metric spaces. We use a control function in fuzzy controlled hexagonal metric space and introduce five noncomparable control functions in pentagonal controlled fuzzy metric spaces. In the scenario of pentagonal controlled fuzzy metric spaces, we prove the Banach fixed point theorem, which generalizes the Banach fixed point theorem for the aforementioned spaces. An example is offered to support our main point. We also presented an application to dynamic market equilibrium.

          Related collections

          Most cited references14

          • Record: found
          • Abstract: not found
          • Article: not found

          Fuzzy sets

          L.A. Zadeh (1965)
            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            Statistical metric spaces

              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              On some results in fuzzy metric spaces

                Bookmark

                Author and article information

                Contributors
                (View ORCID Profile)
                (View ORCID Profile)
                (View ORCID Profile)
                Journal
                Journal of Function Spaces
                Journal of Function Spaces
                Hindawi Limited
                2314-8888
                2314-8896
                January 11 2022
                January 11 2022
                : 2022
                : 1-8
                Affiliations
                [1 ]Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
                [2 ]Department of Math & Stats, International Islamic University Islamabad, Pakistan
                Article
                10.1155/2022/5301293
                2fb05b0f-374b-4425-956c-0d1113f68df3
                © 2022

                https://creativecommons.org/licenses/by/4.0/

                History

                Comments

                Comment on this article