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New Best Proximity Point Results via Simulation Functions in Fuzzy Metric Spacesopen access
- Issue Date
- Jan-2025
- Publisher
- Sociedade Brasileira de Matematica
- Keywords
- fixed point theory; best proximity point; fuzzy metric; fuzzy proximal contraction
- Citation
- Boletim da Sociedade Paranaense de Matematica, v.43, pp 1 - 12
- Pages
- 12
- Indexed
- SCOPUS
ESCI
- Journal Title
- Boletim da Sociedade Paranaense de Matematica
- Volume
- 43
- Start Page
- 1
- End Page
- 12
- ISSN
- 0037-8712
2175-1188
- Abstract
- In this paper, we introduce the concepts of FZ-proximal contraction of type-(I) and type-(II) and prove some g-best proximity point results involving F Z-simulation functions under suitable conditions on the framework of fuzzy metric spaces. Our results unify, generalize, and improve a lot of solid papers in the same context and may lay the groundwork for new directions of best proximity and fuzzy fixed point theory. Also, an example is given to support the theoretical results.
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