Works matching AU Argyros, Ioannis K.

Results: 299

An extended study of two multistep higher order convergent methods for solving nonlinear equations.

Published in:

Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 3, p. 3907, doi. 10.1002/mma.10524

By:

Behl, Ramandeep;
Argyros, Ioannis K.;
Martinez De Mendivil, Iñigo Sarria

Publication type:

Article

Extending the convergence domain of Newton's method for twice Fréchet differentiable operators.

Published in:

Analysis & Applications, 2016, v. 14, n. 2, p. 303, doi. 10.1142/S0219530515500013

By:

Argyros, Ioannis K.;
Magreñán, Á. Alberto

Publication type:

Article

Memory Based Approaches to One-Dimensional Nonlinear Models.

Published in:

Acta Applicandae Mathematicae, 2024, v. 195, n. 1, p. 1, doi. 10.1007/s10440-024-00703-9

By:

Naseem, Amir;
Argyros, Ioannis K.;
Qureshi, Sania;
Aziz ur Rehman, Muhammad;
Soomro, Amanullah;
Gdawiec, Krzysztof;
Iyanda Abdulganiy, Ridwanulahi

Publication type:

Article

Algorithms of predictor-corrector type with convergence and stability analysis for solving nonlinear systems.

Published in:

AIMS Mathematics, 2024, v. 9, n. 11, p. 1, doi. 10.3934/math.20241538

By:

Almutairi, Dalal Khalid;
Argyros, Ioannis K.;
Gdawiec, Krzysztof;
Qureshi, Sania;
Soomro, Amanullah;
Jamali, Khalid H.;
Alquran, Marwan;
Tassaddiq, Asifa

Publication type:

Article

EXTENDING THE APPLICABILITY OF AN ULM-NEWTON-LIKE METHOD UNDER GENERALIZED CONDITIONS IN A BANACH SPACE.

Published in:

Transactions of A. Razmadze Mathematical Institute, 2020, v. 174, n. 1, p. 15

By:

ARGYROS, IOANNIS K.;
GEORGE, SANTHOSH

Publication type:

Article

Three novel inertial explicit Tseng's extragradient methods for solving pseudomonotone variational inequalities.

Published in:

Optimization, 2022, v. 71, n. 16, p. 4697, doi. 10.1080/02331934.2021.1963248

By:

ur Rehman, Habib;
Kumam, Poom;
Ozdemir, Murat;
Argyros, Ioannis K.;
Kumam, Wiyada

Publication type:

Article

Extended three step sixth order Jarratt-like methods under generalized conditions for nonlinear equations.

Published in:

Arabian Journal of Mathematics, 2022, v. 11, n. 3, p. 443, doi. 10.1007/s40065-022-00379-9

By:

Argyros, Ioannis K.;
Sharma, Debasis;
Argyros, Christopher I.;
Parhi, Sanjaya Kumar;
Sunanda, Shanta Kumari;
Argyros, Michael I.

Publication type:

Article

On the Implementation of Iterative Methods Without Inverse Updating for Solving Equations in Banach Spaces.

Published in:

International Journal of Computational Methods, 2025, v. 22, n. 2, p. 1, doi. 10.1142/S0219876224500518

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Extended High Convergence Compositions for Solving Nonlinear Equations in Banach Space.

Published in:

International Journal of Computational Methods, 2024, v. 21, n. 1, p. 1, doi. 10.1142/S0219876223500214

By:

Behl, Ramandeep;
Argyros, Ioannis K.

Publication type:

Article

A Class of Higher-Order Newton-Like Methods for Systems of Nonlinear Equations.

Published in:

International Journal of Computational Methods, 2022, v. 19, n. 2, p. 1, doi. 10.1142/S0219876221500596

By:

Sharma, Janak Raj;
Kumar, Sunil;
Argyros, Ioannis K.

Publication type:

Article

Ball Convergence for a Multi-Step Harmonic Mean Newton-Like Method in Banach Space.

Published in:

International Journal of Computational Methods, 2020, v. 17, n. 5, p. N.PAG, doi. 10.1142/S0219876219400188

By:

Behl, Ramandeep;
Alshormani, Ali Saleh;
Argyros, Ioannis K.

Publication type:

Article

An Optimal Reconstruction of Chebyshev–Halley-Type Methods with Local Convergence Analysis.

Published in:

International Journal of Computational Methods, 2020, v. 17, n. 5, p. N.PAG, doi. 10.1142/S0219876219400176

By:

Alshomrani, Ali Saleh;
Argyros, Ioannis K.;
Behl, Ramandeep

Publication type:

Article

Ball Convergence for a Multi-Step Harmonic Mean Newton-Like Method in Banach Space.

Published in:

International Journal of Computational Methods, 2020, v. 17, p. N.PAG, doi. 10.1142/S0219876219400188

By:

Behl, Ramandeep;
Alshormani, Ali Saleh;
Argyros, Ioannis K.

Publication type:

Article

An Optimal Reconstruction of Chebyshev–Halley-Type Methods with Local Convergence Analysis.

Published in:

International Journal of Computational Methods, 2020, v. 17, p. N.PAG, doi. 10.1142/S0219876219400176

By:

Alshomrani, Ali Saleh;
Argyros, Ioannis K.;
Behl, Ramandeep

Publication type:

Article

Design and Analysis of a New Class of Derivative-Free Optimal Order Methods for Nonlinear Equations.

Published in:

International Journal of Computational Methods, 2018, v. 15, n. 3, p. -1, doi. 10.1142/S021987621850010X

By:

Sharma, Janak Raj;
Argyros, Ioannis K.;
Kumar, Deepak

Publication type:

Article

Ball Convergence for a Family of Quadrature-Based Methods for Solving Equations in Banach Space.

Published in:

International Journal of Computational Methods, 2017, v. 14, n. 2, p. -1, doi. 10.1142/S0219876217500177

By:

Argyros, Ioannis K.;
Behl, Ramandeep;
Motsa, S. S.

Publication type:

Article

Unified Ball Convergence of Inexact Methods For Finding Zeros with Multiplicity.

Published in:

Applications & Applied Mathematics, 2019, v. 14, n. 1, p. 223

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Unified Convergence Analysis of Certain At Least Fifth Order Methods.

Published in:

Carpathian Journal of Mathematics, 2025, v. 41, n. 2, p. 479, doi. 10.37193/CJM.2025.02.14

By:

SADANANDA, RAMYA;
GOPAL, MANJUSREE;
GEORGE, SANTHOSH;
ARGYROS, IOANNIS K.

Publication type:

Article

Extended convergence of Gauss-Newton's method and uniqueness of the solution.

Published in:

Carpathian Journal of Mathematics, 2018, v. 34, n. 2, p. 135, doi. 10.37193/cjm.2018.02.02

By:

ARGYROS, IOANNIS K.;
YEOL JE CHO;
GEORGE, SANTHOSH

Publication type:

Article

Extending the applicability of Newton's method using Wang's- Smale's α-theory.

Published in:

Carpathian Journal of Mathematics, 2016, v. 33, n. 1, p. 27

By:

ARGYROS, IOANNIS K.;
GEORGE, SANTHOSH

Publication type:

Article

On the monotone convergence of general Newton-like methods.

Published in:

Bulletin of the Australian Mathematical Society, 1992, v. 45, n. 3, p. 489, doi. 10.1017/S0004972700030392

By:

Argyros, Ioannis K.;
Szidarovszky, Ferenc

Publication type:

Article

Sharp error bounds for Newton-like methods under weak smoothness assumptions.

Published in:

Bulletin of the Australian Mathematical Society, 1992, v. 45, n. 3, p. 415, doi. 10.1017/S0004972700030318

By:

Argyros, Ioannis K.

Publication type:

Article

On time dependent multistep dynamic processes.

Published in:

Bulletin of the Australian Mathematical Society, 1991, v. 43, n. 1, p. 51, doi. 10.1017/S0004972700028768

By:

Szidarovszky, Ferenc;
Argyros, Ioannis K.

Publication type:

Article

On Newton's method and nondiscrete mathematical induction.

Published in:

Bulletin of the Australian Mathematical Society, 1988, v. 38, n. 1, p. 131, doi. 10.1017/S0004972700027349

By:

Argyros, Ioannis K.

Publication type:

Article

Newton-like methods under mild differentiability conditions with error analysis.

Published in:

Bulletin of the Australian Mathematical Society, 1988, v. 37, n. 1, p. 131, doi. 10.1017/S0004972700004238

By:

Argyros, Ioannis K.

Publication type:

Article

Quadratic equations and applications to Chandrasekhar's and related equations.

Published in:

Bulletin of the Australian Mathematical Society, 1985, v. 32, n. 2, p. 275, doi. 10.1017/S0004972700009953

By:

Argyros, Ioannis K.

Publication type:

Article

Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations.

Published in:

International Journal of Mathematics & Mathematical Sciences, 2014, p. 1, doi. 10.1155/2014/754154

By:

Argyros, Ioannis K.;
George, Santhosh;
Jidesh, P.

Publication type:

Article

EXTENDED KUNG-TRAUB-TYPE METHOD FOR SOLVING EQUATIONS.

Published in:

TWMS Journal of Pure & Applied Mathematics, 2021, v. 12, n. 2, p. 193

By:

ARGYROS, IOANNIS K.;
GEORGE, SANTHOSH

Publication type:

Article

On a novel seventh convergence order method for solving nonlinear equations and its extensions.

Published in:

Asian-European Journal of Mathematics, 2022, v. 15, n. 11, p. 1, doi. 10.1142/S1793557122501911

By:

Regmi, Samundra;
Argyros, Ioannis K.;
George, Santhosh;
Argyros, Christopher

Publication type:

Article

Ball convergence for a three-point method with optimal convergence order eight under weak conditions.

Published in:

Asian-European Journal of Mathematics, 2020, v. 13, n. 2, p. N.PAG, doi. 10.1142/S1793557120500485

By:

Argyros, Ioannis K.;
Kansal, Munish;
Kanwar, V.

Publication type:

Article

Local convergence of deformed Euler-Halley-type methods in Banach space under weak conditions.

Published in:

Asian-European Journal of Mathematics, 2017, v. 10, n. 2, p. -1, doi. 10.1142/S1793557117500863

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Ball convergence of some fourth and sixth-order iterative methods.

Published in:

Asian-European Journal of Mathematics, 2016, v. 9, n. 2, p. -1, doi. 10.1142/S1793557116500340

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Local convergence of deformed Jarratt-type methods in Banach space without inverses.

Published in:

Asian-European Journal of Mathematics, 2016, v. 9, n. 1, p. -1, doi. 10.1142/S1793557116500157

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

On a sixth-order Jarratt-type method in Banach spaces.

Published in:

Asian-European Journal of Mathematics, 2015, v. 8, n. 4, p. -1, doi. 10.1142/S1793557115500655

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Iterated convergence on Banach space valued functions of abstract g-fractional calculus.

Published in:

European Physical Journal: Special Topics, 2017, v. 226, n. 16-18, p. 3667, doi. 10.1140/epjst/e2018-00023-5

By:

Anastassiou, George A.;
Argyros, Ioannis K.

Publication type:

Article

On obtaining order of convergence of Jarratt-like method without using Taylor series expansion.

Published in:

Computational & Applied Mathematics, 2024, v. 43, n. 4, p. 1, doi. 10.1007/s40314-024-02767-7

By:

George, Santhosh;
Kunnarath, Ajil;
Sadananda, Ramya;
Jidesh, P;
Argyros, Ioannis K.

Publication type:

Article

Extended Kantorovich theory for solving nonlinear equations with applications.

Published in:

Computational & Applied Mathematics, 2023, v. 42, n. 2, p. 1, doi. 10.1007/s40314-023-02203-2

By:

Regmi, Samundra;
Argyros, Ioannis K.;
George, Santhosh;
Argyros, Michael

Publication type:

Article

Modified proximal-like extragradient methods for two classes of equilibrium problems in Hilbert spaces with applications.

Published in:

Computational & Applied Mathematics, 2021, v. 40, n. 2, p. 1, doi. 10.1007/s40314-020-01385-3

By:

Rehman, Habib ur;
Kumam, Poom;
Argyros, Ioannis K.;
Alreshidi, Nasser Aedh

Publication type:

Article

Modified proximal-like extragradient methods for two classes of equilibrium problems in Hilbert spaces with applications.

Published in:

Computational & Applied Mathematics, 2021, v. 40, n. 2, p. 1, doi. 10.1007/s40314-020-01385-3

By:

Rehman, Habib ur;
Kumam, Poom;
Argyros, Ioannis K.;
Alreshidi, Nasser Aedh

Publication type:

Article

A Krasnosel’skii-Zincenko-type method in K-normed spaces for solving equations.

Published in:

Computational & Applied Mathematics, 2018, v. 37, n. 3, p. 2399, doi. 10.1007/s40314-017-0456-7

By:

Argyros, Ioannis K.;
Silva, Gilson N.

Publication type:

Article

Extended Convergence Analysis for an Efficient Eighth Order Method in Banach Spaces under Weak ω-Conditions.

Published in:

Southeast Asian Bulletin of Mathematics, 2023, v. 47, n. 1, p. 1

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Ball Convergence of an Efficient High Order Iterative Method for Solving Banach Valued Equations.

Published in:

Southeast Asian Bulletin of Mathematics, 2022, v. 46, n. 2, p. 141

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Ball Convergence Theorems for General Iterative Procedures and Their Applications.

Published in:

Southeast Asian Bulletin of Mathematics, 2018, v. 42, n. 3, p. 315

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Improved convergence analysis of the Secant method using restricted convergence domains with real-world applications.

Published in:

Journal of Nonlinear Sciences & Applications (JNSA), 2018, v. 11, n. 11, p. 1215, doi. 10.22436/jnsa.011.11.01

By:

Argyros, Ioannis K.;
Magreñán, Alberto;
Sarría, Íêigo;
Sicilia, Juan Antonio

Publication type:

Article

ON THE SEMI-LOCAL CONVERGENCE OF A NEWTON-TYPE METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION.

Published in:

Journal of Concrete & Applicable Mathematics, 2008, v. 6, n. 1, p. 33

By:

Argyros, Ioannis K.

Publication type:

Article

A KANTOROVICH ANALYSIS OF NEWTON METHODS ON LIE GROUPS.

Published in:

Journal of Concrete & Applicable Mathematics, 2008, v. 6, n. 1, p. 21

By:

Argyros, Ioannis K.

Publication type:

Article

Ball convergence of derivative free iterative methods with or without memory using weight operator technique.

Published in:

Proyecciones - Journal of Mathematics, 2024, v. 43, n. 3, p. 649, doi. 10.22199/issn.0717-6279-4928

By:

Argyros, Ioannis K.;
Argyros, Christopher

Publication type:

Article

On the Gauss--Newton method for solving equations.

Published in:

Proyecciones - Journal of Mathematics, 2012, v. 31, n. 1, p. 11, doi. 10.4067/S0716-09172012000100002

By:

ARGYROS, IOANNIS K.;
HILOUT, SAÏD

Publication type:

Article

ON THE LOCAL CONVERGENCE OF A MIDPOINT METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION.

Published in:

Proyecciones - Journal of Mathematics, 2009, v. 28, n. 2, p. 155, doi. 10.4067/S0716-09172009000200005

By:

ARGYROS, IOANNIS K.

Publication type:

Article

ON THE LOCAL CONVERGENCE OF A TWO-STEP STEFFENSEN-TYPE METHOD FOR SOLVING GENERALIZED EQUATIONS.

Published in:

Proyecciones - Journal of Mathematics, 2008, v. 27, n. 3, p. 319

By:

ARGYROS, IOANNIS K.;
HILOUT, SAïD

Publication type:

Article