Prof. Ioannis K. Argyros

Cameron University, USA

Professor

Email: ioannisa@cameron.edu

Qualifications

1984 Ph.D., University of Georgia, USA

1983 M.Sc., University of Georgia, USA

1979 B.Sc., University of Athens, Greece

Publications (Selected)

1. Regmi, Samundra & Argyros, Ioannis & George, Santhosh. (2021). Convergence analysis for a fast class of multi-step Chebyshev-Halley-type methods under weak conditions. Open Journal of Mathematical Sciences. 4. 34-43. 10.30538/oms2021.0143.
2. George, Santhosh & Argyros, I. & Padikkal, Jidesh & Mahapatra, M. & Saeed K, Muhammed. (2021). Convergence Analysis of a Fifth-Order Iterative Method Using Recurrence Relations and Conditions on the First Derivative. Mediterranean Journal of Mathematics. 18. 10.1007/s00009-021-01697-6.
3. Argyros, Ioannis & Sharma, Debasis & Parhi, S.. (2021). Generalizing the local convergence analysis of a class of $k$-step iterative algorithms with Hölder continuous derivative in Banach spaces. Applicationes Mathematicae. 10.4064/am2410-7-2020.
4. Argyros, Ioannis & George, Santhosh. (2021). Extended Convergence of a Two-Step-Secant-Type Method Under a Restricted Convergence Domain. Kragujevac Journal of Mathematics. 45. 155-164. 10.46793/KgJMat2101.155A.
5. Behl, Ramandeep & Argyros, Ioannis & Martínez, Eulalia & Joshi, Janak. (2021). Extended convergence for a fifth‐order novel scheme free from derivatives. Mathematical Methods in the Applied Sciences. 10.1002/mma.7364.
6. Rehman, Habib Ur & Kumam, Poom & Argyros, Ioannis & Alreshidi, Nasser. (2021). Modified proximal- like extragradient methods for two classes of equilibrium problems in Hilbert spaces with applications. Computational and Applied Mathematics. 40. 10.1007/s40314-020-01385-3.
7. Argyros, Ioannis & George, Santhosh. (2021). Local comparison between two-step methods under the same conditions. Afrika Matematika. 10.1007/s13370-021-00883-9.
8. Argyros, Ioannis & George, Santhosh. (2021). Ball Comparison Between Four Fourth Convergence Order Methods Under the Same Set of Hypotheses for Solving Equations. International Journal of Applied and Computational Mathematics. 7. 10.1007/s40819-020-00946-8.
9. Argyros, Ioannis & Shakhno, Stepan & Shunkin, Yuriy & Yarmola, Halyna. (2021). Extended convergence analysis of the Newton–Potra method under weak conditions. Applicationes Mathematicae. 10.4064/am2406-7-2020.
10. Argyros, Ioannis & George, Santhosh & Erappa, Shobha. (2021). Extending the applicability of Newton's and Secant methods under regular smoothness. Boletim da Sociedade Paranaense de Matemática. 39. 195-210. 10.5269/bspm.42132.
11. Argyros, Ioannis & George, Santhosh & Erappa, Shobha. (2020). Extending the applicability of high- order iterative schemes under Kantorovich hypotheses and restricted convergence regions. Rendiconti del Circolo Matematico di Palermo Series 2. 69. 1107-1113. 10.1007/s12215-019-00460-x.
12. Argyros, I.K. & Ceballos, Johan & González Sánchez, Daniel & Gutiérrez, José. (2020). Extending the applicability of Newton’s method for a class of boundary value problems using the shooting method. Applied Mathematics and Computation. 384. 125378. 10.1016/j.amc.2020.125378.
13. Argyros, I. & Iakymchuk, Roman & Shakhno, Stepan & Yarmola, H.P.. (2020). On an improved convergence analysis of a two-step Gauss-Newton type method under generalized Lipschitz conditions. Carpathian Journal of Mathematics. 36. 365-372. 10.37193/CJM.2020.03.04.
14. Argyros, Ioannis & Sharma, Debasis & Parhi, S. & Sunanda, Shanta. (2020). On the Convergence, Dynamics and Applications of a New Class of Nonlinear System Solvers. International Journal of Applied and Computational Mathematics. 6. 142. 10.1007/s40819-020-00893-4.
15. Argyros, Ioannis & Yeol Je, Cho & George, Santhosh. (2020). Extending the Convexity of Nonlinear Image of a Ball Appearing in Optimization. Contemporary Mathematics. 10.37256/cm.142020405.