Article detail · 2023
New fixed-circle results on fuzzy metric spaces with an application to dynamic market equilibrium
Journal
Mathematica MoravicaISSN 1450-5932
- Year
- 2023
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Mathematica Moravica
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
In this study, the fixed point theory on fuzzy metric spaces has been generalized to the fixed-circle theory by making a geometric interpretation. The necessary conditions to exist the fixed circles of a self-mapping have been investigated and the uniqueness of the circle is examined under suitable conditions. We present some illustrative examples of obtained results and also offer an application to confirm the utility of our established result for finding the unique solution of an integral equation appearing in the dynamic market equilibrium aspects of economics.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
9 citations
OpenAlex cited_by_count (cache / database)
8 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- New perturbed parametric metric spaces for distance modeling: fixed-point analysis with applications to the fixed-circle problem 2026
- An Overview of Triple-Composed $S$-Metric Spaces with Few Fixed-Point Theorems 2025
- An introduction to the fixed-circle problem with metric-preserving functions 2026
- Garsonların karşılaştığı problemleri analiz etmek için bulanık esnek küme tabanlı bir karar verme modeli 2026
- Some Fixed-Circle Results with Mix-Type Contractions 2025
- Rational Type Fixed-Disc and Common Fixed-Disc Results on Metric and S-Metric Spaces via Geraghty Type Contractions 2025
- Bulanık ikili esnek küme yardımıyla karar verme problemine matematiksel bir yaklaşım 2025
- Bazı Genelleştirilmiş Sabit Çember Sonuçları Üzerine 2024