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
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