A note on Kannan type mappings with a F-contractive iterate
Abstract
In this paper, we revisited fixed point theorem for Kannan type mapping with a contractive iterate at a point in the setting of $F$-construction. The given results extend and improve the related results in the literature.
Keywords
Kaynakça
- [1] Banach, S. Sur les operations dans les ensembles abstraits et leur application auxequations integrales, Fundamenta Mathematicae, 3 (1922), 133–181.
- [2] Bryant, V. W. A remark on a fixed point theorem for iterated mappings, The AmericanMathematical Monthly, vol. 75, pp. 399–400, 1968.
- [3] L. F. Guseman, Fixed point theorems for mappings with a contractive iterate at a point,Proc. Am. Math. Soc. 26, (1970), 615-618.
- [4] A. Özturk, A fixed point theorem for mappings with an F-contractive iterate, Advancesin the Theory of Nonlinear Analysis and its Applications 3 (2019) No. 3, 231-235.
- [5] V. M. Sehgal, A fixed point theorem for mappings with a contractive iterate, Proc.Amer. Math. Soc., 23 (1969), 631-634.
- [6] D. Wardowski, Fixed Points of a new type of contractive mappings in complete metricspaces, Fixed Point Theory Appl. 94 (2012).
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yazarlar
Yayımlanma Tarihi
1 Ekim 2019
Gönderilme Tarihi
12 Kasım 2019
Kabul Tarihi
22 Kasım 2019
Yayımlandığı Sayı
Yıl 2019 Cilt: 2 Sayı: 3