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Article detail · 2020

Bilateral type solutions to the fixed-circle problem with rectified linear units application

Journal

Turkish Journal of Mathematics

ISSN 1300-0098

YÖKSİS OpenAlex Open access · diamond SJR Q2 JCR Q3 TR Index Citations 26 Percentile 88.1% FWCI 2.36
Year
2020
External link
https://dx.doi.org/doi:10.3906/mat-1911-18
Type
article

Data source split

  • YÖKSİS YÖKSİS article record
  • YÖKSİS venue Turkish Journal of Mathematics
  • Catalog match (ISSN) Turkish Journal of Mathematics
  • OpenAlex OpenAlex enrichment (abstract, citations, topics)

OpenAlex record

Abstract

OpenAlex · English

In this paper, we prove new fixed-circle (resp. fixed-disc) results using the bilateral type contractions on a metric space. To do this, we modify some known contractive conditions called the Jaggi-type bilateral contraction and the Dass-Gupta type bilateral contraction. We give some examples to show the validity of our obtained results. Also, we construct an application to rectified linear units activation functions used in the neural networks. This application shows the importance of studying "fixed-circle problem".

Topics

Citations

OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.

26 citations

OpenAlex cited_by_count (cache / database)

23 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).

  1. Some Fixed-Circle Results with Different Auxiliary Functions 2022 Citations 11 · OpenAlex
  2. Some Fixed-Circle Results with Different Auxiliary Functions 2022 Citations 11 · OpenAlex
  3. Some Common Fixed Circle Results on Metric and S-Metric Spaces with an Application to Activation Functions 2023 Citations 10 · OpenAlex
  4. Some Common Fixed Circle Results on Metric and S-Metric Spaces with an Application to Activation Functions 2023 Citations 10 · OpenAlex
  5. Geometric properties of fixed points and simulation functions 2023 Citations 7 · OpenAlex
  6. Geometric properties of fixed points and simulation functions 2023 Citations 7 · OpenAlex
  7. New Fixed-Figure Results on Metric Spaces 2022 Citations 7 · OpenAlex
  8. A New Study on the Fixed Point Sets of Proinov-Type Contractions via Rational Forms 2022 Citations 7 · OpenAlex
  9. Interpolative contractions and discontinuity at fixed point 2023 Citations 6 · OpenAlex
  10. Some common fixed-point and fixed-figure results with a function family on $ S_{b} $-metric spaces 2023 Citations 5 · OpenAlex

Authors

  1. NİHAL TAŞ BALIKESİR ÜNİVERSİTESİ