George, Santhosh; Saeed, M.; Argyros, Ioannis K.; Jidesh, P. An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method. (English) Zbl 07676698 J. Appl. Math. Comput. 69, No. 1, 1095-1115 (2023). MSC: 47A52 65R10 65J10 47H09 49J30 PDFBibTeX XMLCite \textit{S. George} et al., J. Appl. Math. Comput. 69, No. 1, 1095--1115 (2023; Zbl 07676698) Full Text: DOI
George, S.; Argyros, I. K.; Jidesh, P.; Mahapatra, M.; Saeed, M. Convergence analysis of a fifth-order iterative method using recurrence relations and conditions on the first derivative. (English) Zbl 1461.65104 Mediterr. J. Math. 18, No. 2, Paper No. 57, 12 p. (2021). MSC: 65J15 PDFBibTeX XMLCite \textit{S. George} et al., Mediterr. J. Math. 18, No. 2, Paper No. 57, 12 p. (2021; Zbl 1461.65104) Full Text: DOI
Argyros, Ioannis K.; Jidesh, P.; George, Santhosh On the local convergence of Newton-like methods with fourth and fifth order of convergence under hypotheses only on the first Fréchet derivative. (English) Zbl 1474.65153 Novi Sad J. Math. 47, No. 1, 1-15 (2017). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Novi Sad J. Math. 47, No. 1, 1--15 (2017; Zbl 1474.65153) Full Text: Link
Argyros, Ioannis K.; Jidesh, P.; George, Santhosh Ball convergence for second derivative free methods in Banach space. (English) Zbl 1397.65080 Int. J. Appl. Comput. Math. 3, No. 2, 713-720 (2017). MSC: 65J15 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Int. J. Appl. Comput. Math. 3, No. 2, 713--720 (2017; Zbl 1397.65080) Full Text: DOI
Argyros, Ioannis K.; Jidesh, P.; George, Santhosh Improved robust semi-local convergence analysis of Newton’s method for cone inclusion problem in Banach spaces under restricted convergence domains and majorant conditions. (English) Zbl 1379.65031 Nonlinear Funct. Anal. Appl. 22, No. 2, 421-432 (2017). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 65J15 49J52 47J25 47J22 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Nonlinear Funct. Anal. Appl. 22, No. 2, 421--432 (2017; Zbl 1379.65031)
Argyros, Ioannis K.; George, Santhosh; Jidesh, P. Iterative regularization for ill-posed operator equations in Hilbert scales. (English) Zbl 1375.65076 Nonlinear Stud. 24, No. 2, 257-261 (2017). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 65J15 65J20 47J06 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Nonlinear Stud. 24, No. 2, 257--261 (2017; Zbl 1375.65076) Full Text: Link
Argyros, Ioannis K.; Jidesh, P.; George, Santhosh An improved semi-local convergence analysis for a three point method of order 1.839 in Banach space. (English) Zbl 1323.65056 Adv. Nonlinear Var. Inequal. 18, No. 1, 23-32 (2015). Reviewer: Bangti Jin (London) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Adv. Nonlinear Var. Inequal. 18, No. 1, 23--32 (2015; Zbl 1323.65056)
Argyros, Ioannis K.; George, Santhosh; Jidesh, P. Inverse free iterative methods for nonlinear ill-posed operator equations. (English) Zbl 1309.47065 Int. J. Math. Math. Sci. 2014, Article ID 754154, 8 p. (2014). MSC: 47J06 65J20 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Int. J. Math. Math. Sci. 2014, Article ID 754154, 8 p. (2014; Zbl 1309.47065) Full Text: DOI