Works by Argyros, Ioannis K.

Results: 301

EXTENDED NEWTON'S METHOD FOR SOLVING GENERALIZED EQUATIONS UNDER KANTOROVICH'S-TYPE WEAK CONDITIONS.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2025, v. 58, p. 1, doi. 10.71352/ac.58.301224

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Unified ball convergence of third and fourth convergence order algorithms under ש -- continuity conditions.

Published in:

Journal of Mathematical Modeling (JMM), 2021, v. 9, n. 2, p. 173, doi. 10.22124/jmm.2020.17556.1513

By:

Argyros, Gus;
Argyros, Michael;
Argyros, Ioannis K.;
George, Santhosh

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

Expanding the Applicability of Some High Order Househölder-Like Methods.

Published in:

Algorithms, 2017, v. 10, n. 2, p. 64, doi. 10.3390/a10020064

By:

Amat, Sergio;
Argyros, Ioannis K.;
Hernández-Verón, Miguel A.;
Romero, Natalia

Publication type:

Article

Extending the Applicability of the MMN-HSS Method for Solving Systems of Nonlinear Equations under Generalized Conditions.

Published in:

Algorithms, 2017, v. 10, n. 2, p. 54, doi. 10.3390/a10020054

By:

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

Publication type:

Article

Local Convergence Analysis of an Eighth Order Scheme Using Hypothesis Only on the First Derivative.

Published in:

Algorithms, 2016, v. 9, n. 4, p. 65, doi. 10.3390/a9040065

By:

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

Publication type:

Article

Local Convergence of an Efficient High Convergence Order Method Using Hypothesis Only on the First Derivative.

Published in:

Algorithms, 2015, v. 8, n. 4, p. 1076, doi. 10.3390/a8041076

By:

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

Publication type:

Article

Newton-Type Methods on Generalized Banach Spaces and Applications in Fractional Calculus.

Published in:

Algorithms, 2015, v. 8, n. 4, p. 832, doi. 10.3390/a8040832

By:

Anastassiou, George A.;
Argyros, Ioannis K.

Publication type:

Article

Local Convergence of an Optimal Eighth Order Method under Weak Conditions.

Published in:

Algorithms, 2015, v. 8, n. 3, p. 645, doi. 10.3390/a8030645

By:

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

Publication type:

Article

Extended local convergence for Newton-type solver under weak conditions.

Published in:

Studia Universitatis Babeş-Bolyai, Mathematica, 2021, v. 66, n. 4, p. 757, doi. 10.24193/subbmath.2021.4.12

By:

Argyros, Ioannis K.;
George, Santhosh;
Senapati, Kedarnath

Publication type:

Article

Ball comparison for three optimal eight order methods under weak conditions.

Published in:

Studia Universitatis Babeş-Bolyai, Mathematica, 2019, v. 64, n. 3, p. 421, doi. 10.24193/subbmath.2019.3.12

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Extending the applicability of modified Newton-HSS method for solving systems of nonlinear equations.

Published in:

Studia Universitatis Babeş-Bolyai, Mathematica, 2018, v. 63, n. 2, p. 257, doi. 10.24193/subbmath.2018.2.09

By:

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

Publication type:

Article

Extended local convergence analysis of inexact Gauss-Newton method for singular systems of equations under weak conditions.

Published in:

Studia Universitatis Babeş-Bolyai, Mathematica, 2017, v. 62, n. 4, p. 543, doi. 10.24193/subbmath.2017.4.11

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Ball convergence of a stable fourth-order family for solving nonlinear systems under weak conditions.

Published in:

Studia Universitatis Babeş-Bolyai, Mathematica, 2017, v. 62, n. 1, p. 127, doi. 10.24193/subbmath.2017.0010

By:

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

Publication type:

Article

Generalized g-fractional calculus and iterative methods.

Published in:

Studia Universitatis Babeş-Bolyai, Mathematica, 2016, v. 61, n. 1, p. 17

By:

Anastassiou, George A.;
Argyros, Ioannis K.

Publication type:

Article

A unified local convergence for Chebyshev-Halley-type methods in Banach space under weak conditions.

Published in:

Studia Universitatis Babeş-Bolyai, Mathematica, 2015, v. 60, n. 3, p. 463

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

Iterative regularization methods for ill-posed Hammerstein-type operator equations in Hilbert scales.

Published in:

Studia Universitatis Babeş-Bolyai, Mathematica, 2014, v. 59, n. 2, p. 247

By:

Argyros, Ioannis K.;
George, Santhosh;
Kunhanandan, M.

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

A comparison between two competing sixth convergence order algorithms under the same set of conditions.

Published in:

Creative Mathematics & Informatics, 2021, v. 30, n. 1, p. 19

By:

ARGYROS, GUS;
ARGYROS, MICHAEL;
ARGYROS, IOANNIS K.;
GEORGE, SANTHOSH

Publication type:

Article

Ball convergence theorem for inexact Newton methods in Banach space.

Published in:

Creative Mathematics & Informatics, 2020, v. 29, n. 2, p. 113, doi. 10.37193/cmi.2020.02.01

By:

ARGYROS, IOANNIS K.;
GEORGE, SANTHOSH

Publication type:

Article

Convergence of derivative free iterative methods.

Published in:

Creative Mathematics & Informatics, 2019, v. 28, n. 1, p. 19

By:

ARGYROS, IOANNIS K.;
GEORGE, SANTHOSH

Publication type:

Article

Semi-local convergence of a Newton-like method for solving equations with a singular derivative.

Published in:

Creative Mathematics & Informatics, 2018, v. 27, n. 1, p. 01, doi. 10.37193/cmi.2018.01.01

By:

ARGYROS, IOANNIS K.;
GEORGE, SANTHOSH

Publication type:

Article

A convergence of a Steffensen-like method for solving nonlinear equations in a Banach space.

Published in:

Creative Mathematics & Informatics, 2017, v. 26, n. 2, p. 125, doi. 10.37193/cmi.2017.02.02

By:

ARGYROS, IOANNIS K.;
GEORGE, SANTHOSH

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

NEWTON'S METHOD FOR GENERALIZED EQUATIONS UNDER WEAK CONDITIONS.

Published in:

Serdica Mathematical Journal, 2023, v. 49, n. 4, p. 269, doi. 10.55630/serdica.2023.49.269-282

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

EXTENDING THE CONVERGENCE REGION OF M-STEP ITERATIVE PROCEDURES.

Published in:

Serdica Mathematical Journal, 2021, v. 47, n. 2, p. 93

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

MULTI-STEP HIGH CONVERGENCE ORDER METHODS FOR SOLVING EQUATIONS.

Published in:

Serdica Mathematical Journal, 2021, v. 47, n. 1, p. 1, doi. 10.55630/serdica.2021.47.1-12

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

EXTENDING THE CONVERGENCE DOMAIN OF NEWTON'S METHOD FOR GENERALIZED EQUATIONS.

Published in:

Serdica Mathematical Journal, 2017, v. 43, n. 1, p. 65

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

EXTENDING THE APPLICABILITY OF NEWTON-SECANT METHODS FOR FUNCTIONS WITH VALUES IN A CONE.

Published in:

Serdica Mathematical Journal, 2016, v. 42, n. 3/4, p. 287

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

On the Convergence of Broyden-Like Methods.

Published in:

Acta Mathematica Sinica, 2007, v. 23, n. 11, p. 2087, doi. 10.1007/s10114-007-0963-3

By:

Argyros, Ioannis K.

Publication type:

Article

Local convergence of deformed Halley method in Banach space under Holder continuity conditions.

Published in:

Journal of Nonlinear Sciences & Applications (JNSA), 2015, v. 8, n. 3, p. 246

By:

Argyros, Ioannis K.;
George, Santhosh

Publication type:

Article

ON MULTIPOINT ITERATIVE PROCESSES OF EFFICIENCY INDEX HIGHER THAN NEWTON'S METHOD.

Published in:

Journal of Nonlinear Sciences & Applications (JNSA), 2009, v. 2, n. 3, p. 195, doi. 10.22436/jnsa.002.03.08

By:

Argyros, Ioannis K.;
Hilout, Saïd

Publication type:

Article

LOCAL CONVERGENCE ANALYSIS OF INEXACT NEWTON-LIKE METHODS.

Published in:

Journal of Nonlinear Sciences & Applications (JNSA), 2009, v. 2, n. 1, p. 11, doi. 10.22436/jnsa.002.01.02

By:

Argyros, Ioannis K.;
Hilout, Säid

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

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

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

An efficient class of fourth-order derivative-free method for multiple-roots.

Published in:

International Journal of Nonlinear Sciences & Numerical Simulation, 2023, v. 24, n. 1, p. 265, doi. 10.1515/ijnsns-2020-0161

By:

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

Publication type:

Article

Local Convergence and the Dynamics of a Two-Step Newton-Like Method.

Published in:

International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2016, v. 26, n. 5, p. -1, doi. 10.1142/S0218127416300123

By:

Argyros, Ioannis K.;
Magreñán, Á. Alberto

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

Order of Convergence and Dynamics of Newton–Gauss-Type Methods.

Published in:

Fractal & Fractional, 2023, v. 7, n. 2, p. 185, doi. 10.3390/fractalfract7020185

By:

Sadananda, Ramya;
George, Santhosh;
Argyros, Ioannis K.;
Padikkal, Jidesh

Publication type:

Article