التفاصيل البيبلوغرافية
| العنوان: |
New Fixed Figure Results with the Notion of $k$-Ellipse |
| المؤلفون: |
Taş, Nihal, Aytimur, Hülya, Güvenç, Şaban |
| المصدر: |
Mathematica Moravica, vol. 27, no. 1, pp. 37-52, Jan. 2023 |
| سنة النشر: |
2021 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Metric Geometry, 54H25, 47H09, 47H10 |
| الوصف: |
In this paper, as a geometric approach to the fixed-point theory, we prove new fixed-figure results using the notion of $k$-ellipse on a metric space. For this purpose, we are inspired by the Caristi type contraction, Kannan type contraction, Chatterjea type contraction and \'{C}iri\'{c} type contraction. After that, we give some existence and uniqueness theorems of a fixed $k$-ellipse. We also support our obtained results with illustrative examples. Finally, we present a new application to the $S$-Shaped Rectified Linear Activation Unit ($SReLU$) to show the importance of our theoretical results. |
| نوع الوثيقة: |
Working Paper |
| DOI: |
10.5937/MatMor2301037A |
| URL الوصول: |
http://arxiv.org/abs/2112.10204 |
| رقم الانضمام: |
edsarx.2112.10204 |
| قاعدة البيانات: |
arXiv |