Article detail · 2022
Some Fixed-Circle Results with Different Auxiliary Functions
- Year
- 2022
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Journal of Function Spaces
- Catalog match (ISSN) Journal of Function Spaces
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
As the generalization of the fixed-point theory, the fixed-circle problems are interesting and notable geometric constructions. In this paper, we prove that some new necessary conditions are investigated for the existence of a fixed circle of a given self-mapping in G -metric spaces. The well-known Braincari and Chatterjea contractive conditions are generalized for proving the uniqueness of obtained theorems. Finally, an application to parametric rectified linear unit activation functions are given to show the importance of studying the fixed-circle problem.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
11 citations
OpenAlex cited_by_count (cache / database)
11 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Some Common Fixed Circle Results on Metric and S-Metric Spaces with an Application to Activation Functions 2023
- Some Common Fixed Circle Results on Metric and S-Metric Spaces with an Application to Activation Functions 2023
- New fixed-circle results on fuzzy metric spaces with an application to dynamic market equilibrium 2023
- Some common fixed-point and fixed-figure results with a function family on $ S_{b} $-metric spaces 2023
- Fixed Circle Theory for Multivalued Mappings With Bilateral Type Contractions 2025
- An Overview of Triple-Composed $S$-Metric Spaces with Few Fixed-Point Theorems 2025
- Interpolative KMK-Type Fixed-Figure Results 2023
- An introduction to the fixed-circle problem with metric-preserving functions 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