Öz
Proje Numarası
451-03-65/2024-03/200124
Kaynakça
- [1] S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math. 3, 133-181, 1922.
Öz
Inspired by the well-known result stating that if any iterate of a mapping is a Banach contraction on a complete metric space, then the mapping itself possesses a unique fixed point, we investigate that claim for Kannan contraction but by retaining the left-hand side of the inequality as per the mapping itself. With an additional assumption of k -continuity, the existence and uniqueness of a fixed point is obtained for a new class of contractions, m-Kannan contraction, on a complete metric space. Several examples are given in order to substantiate many theoretical claims such as discontinuity at the unique limit point of the iterative sequence or the ones testifying that this class is wider than the class of Kannan mappings.
Anahtar Kelimeler
Kannan contraction Banach contraction iterates k -continuity
Destekleyen Kurum
Ministry of Science, Technological Development and Innovation, Republic of Serbia
Proje Numarası
451-03-65/2024-03/200124
Kaynakça
- [1] S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math. 3, 133-181, 1922.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Operatör Cebirleri ve Fonksiyonel Analiz |
| Bölüm | Matematik |
| Yazarlar | |
| Proje Numarası | 451-03-65/2024-03/200124 |
| Erken Görünüm Tarihi | 27 Ocak 2025 |
| Yayımlanma Tarihi | |
| Gönderilme Tarihi | 5 Ağustos 2024 |
| Kabul Tarihi | 3 Ekim 2024 |
| Yayımlandığı Sayı | Yıl 2025 Erken Görünüm |