A Hybrid Third-Order Iterative Process To Solve Nonlinear Equations
Öz
In this study, by using the iterative method discussed in (Kang et al., 2013) and adopting a technique given in details (Biazar and Amirteimoori, 2006) introduced a new hybrid third-order iterative method to solve nonlinear equations derived from the Picard-Mann fixed-point iterative method. Some problems have been solved in order to demonstrate the performance of the established iterative method for the solution of the nonlinear equations.
Anahtar Kelimeler
Destekleyen Kurum
Kaynakça
- Abbas M, Nazir T, 2014. A new faster iteration process applied to constrained minimization and feasibility problems, Matematicki Vesnik 66(2): 223-234.
- Ashiq A, Qaisar M, Tanveer M, Aslam A, NazeerW, 2015. Modified new third-order iterative method for non-linear equations, Sci.Int.(Lahore), 27(3), 1741-1744, 2015.
- Babolian E, Biazar J, 2002. Solution of nonlinear equations by modified Adomian decomposition method, Appl. Math. Comput. 132 (1): 167–172.
- Berinde V, 2014. Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators, Fixed Point Theory Appl. 2014 (2004):1.
- Biazar J, Amirteimoori A, 2006. An improvement to the fixed point iterative method, Appl. Math. Comput. 182 (1): 567–571.
- Chugh R, Malik P, Kumar V, 2015. On a new faster implicit xed point iterative scheme in convex metric spaces, J. Function Spaces (2015), Article ID 905834.
- Dogan K, Karakaya V, 2018. A study in the fixed point theory for a new iterative scheme and a class of generalized mapings, Creat. Math. Inform. 27(2018), No. 2, 151-160.
- Fukhar-ud-din H, Berinde V, 2016. Iterative methods for the class of quasi-contractive type operators and comparsion of their rate of convergence in convex metric spaces, Filomat 30 (2016) 223-230.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yazarlar
Kadri Doğan
*
0000-0002-6622-3122
Türkiye
Yayımlanma Tarihi
1 Mart 2020
Gönderilme Tarihi
28 Haziran 2019
Kabul Tarihi
23 Ekim 2019
Yayımlandığı Sayı
Yıl 2020 Cilt: 10 Sayı: 1