Öz
Anahtar Kelimeler
2-Banach spaces Coincidence points Non-decreasing function Cauchy sequence Fixed point.
Proje Numarası
NA
Kaynakça
- [1] Abbas M., Nazir T., Radenovic S., Common fixed points of four maps in partially ordered metric spaces, Applied Mathematics Letters, 24 (2011) 1520-1526.
- [2] Cho S., Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications, Fixed Point Theory and Applications, (2018) Article number 3(2018).
- [3] Gahler S., Linear 2 normietre Raume., Math. Nachr., 28(1965) 1-43.
- [4] Liu B., Chai G.Q., Fixed point theorem for weakly contractive mappings in generalized metric spaces, Hubei Shifan Xueyuan Xuebau, 33(1) (2013) 60-65.
- [5] Xue Z., Lv G., A fixed point theorem for generalized (ψ,φ)-weak contractions in Branciari-type generalized metric spaces, Fixed Point Theory and Algorithms for Sciences and Engineering, (2021) Article number 1(2021).
- [6] Kumar D.R., Pitchaimani M., Approximation of common fixed points in 2-Banach spaces with applications, Appl. Gen. Topol., 20(1) (2019) 43-55.
- [7] Pitchaimani M., Kumar D.R., Some common fixed point theorems using implicit relation in 2-Banach spaces, Surveys in Mathemtics and its Applications, 10 (2015) 159-168.
- [8] Chouhan P., Malviya N., Fixed point of expansive mappings in 2-Banach Spaces, International Journal of Analysis and Applications, 3(1) (2013) 60-67.
Öz
Fixed point theorems had been established and developed under various non-expansive type conditions on different metric spaces. In this paper, we have generalized (ψ,φ) - weak contractions, which is the generalizations of F-contraction, (ϕ,F)-contraction as well as (ψ,φ)-contractions. Then we have established some unique common fixed point results for a sequence of mappings for (ψ,φ)- weak contractions in 2-Banach spaces. Some basic definitions, properties and examples are given in the introduction and preliminaries part. Some corollaries are also given on the basis on the results.
Anahtar Kelimeler
2-Banach spaces Coincidence points Non-decreasing function Cauchy sequence Fixed point.
Destekleyen Kurum
NA
Proje Numarası
NA
Kaynakça
- [1] Abbas M., Nazir T., Radenovic S., Common fixed points of four maps in partially ordered metric spaces, Applied Mathematics Letters, 24 (2011) 1520-1526.
- [2] Cho S., Fixed point theorems for generalized weakly contractive mappings in metric spaces with applications, Fixed Point Theory and Applications, (2018) Article number 3(2018).
- [3] Gahler S., Linear 2 normietre Raume., Math. Nachr., 28(1965) 1-43.
- [4] Liu B., Chai G.Q., Fixed point theorem for weakly contractive mappings in generalized metric spaces, Hubei Shifan Xueyuan Xuebau, 33(1) (2013) 60-65.
- [5] Xue Z., Lv G., A fixed point theorem for generalized (ψ,φ)-weak contractions in Branciari-type generalized metric spaces, Fixed Point Theory and Algorithms for Sciences and Engineering, (2021) Article number 1(2021).
- [6] Kumar D.R., Pitchaimani M., Approximation of common fixed points in 2-Banach spaces with applications, Appl. Gen. Topol., 20(1) (2019) 43-55.
- [7] Pitchaimani M., Kumar D.R., Some common fixed point theorems using implicit relation in 2-Banach spaces, Surveys in Mathemtics and its Applications, 10 (2015) 159-168.
- [8] Chouhan P., Malviya N., Fixed point of expansive mappings in 2-Banach Spaces, International Journal of Analysis and Applications, 3(1) (2013) 60-67.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Natural Sciences |
| Yazarlar | |
| Proje Numarası | NA |
| Yayımlanma Tarihi | 27 Aralık 2022 |
| Gönderilme Tarihi | 12 Mayıs 2022 |
| Kabul Tarihi | 16 Kasım 2022 |
| Yayımlandığı Sayı | Yıl 2022Cilt: 43 Sayı: 4 |
