Ioannis K. Argyros

According to our database1, Ioannis K. Argyros authored at least 190 papers between 1990 and 2021.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

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Bibliography

2021
Approximation Results for Variational Inequalities Involving Pseudomonotone Bifunction in Real Hilbert Spaces.
Symmetry, 2021

Fourier Spectral High-Order Time-Stepping Method for Numerical Simulation of the Multi-Dimensional Allen-Cahn Equations.
Symmetry, 2021

A Family of Fifth and Sixth Convergence Order Methods for Nonlinear Models.
Symmetry, 2021

An Efficient Mechanism to Solve Fractional Differential Equations Using Fractional Decomposition Method.
Symmetry, 2021

On the complexity of extending the convergence ball of Wang's method for finding a zero of a derivative.
J. Complex., 2021

2020
Inertial Extra-Gradient Method for Solving a Family of Strongly Pseudomonotone Equilibrium Problems in Real Hilbert Spaces with Application in Variational Inequality Problem.
Symmetry, 2020

A Self-Adaptive Extra-Gradient Methods for a Family of Pseudomonotone Equilibrium Programming with Application in Different Classes of Variational Inequality Problems.
Symmetry, 2020

Convergence and Dynamics of a Higher-Order Method.
Symmetry, 2020

Local Convergence of Solvers with Eighth Order Having Weak Conditions.
Symmetry, 2020

Extending the Convergence Domain of Methods of Linear Interpolation for the Solution of Nonlinear Equations.
Symmetry, 2020

Method of Third-Order Convergence with Approximation of Inverse Operator for Large Scale Systems.
Symmetry, 2020

Extending the applicability of the inexact Newton-HSS method for solving large systems of nonlinear equations.
Numer. Algorithms, 2020

On the local and semilocal convergence of a parameterized multi-step Newton method.
J. Comput. Appl. Math., 2020

On the complexity of extending the convergence region for Traub's method.
J. Complex., 2020

Ball convergence for a family of eight-order iterative schemes under hypotheses only of the first-order derivative.
Int. J. Comput. Math., 2020

Improving Convergence Analysis of the Newton-Kurchatov Method under Weak Conditions.
Comput., 2020

On the Solution of Equations by Extended Discretization.
Comput., 2020

An Accelerated Extragradient Method for Solving Pseudomonotone Equilibrium Problems with Applications.
Axioms, 2020

Extending the applicability of Newton's method for a class of boundary value problems using the shooting method.
Appl. Math. Comput., 2020

Local Convergence of an Efficient Multipoint Iterative Method in Banach Space.
Algorithms, 2020

Local Comparison between Two Ninth Convergence Order Algorithms for Equations.
Algorithms, 2020

2019
Development of Optimal Eighth Order Derivative-Free Methods for Multiple Roots of Nonlinear Equations.
Symmetry, 2019

An Efficient Class of Traub-Steffensen-Like Seventh Order Multiple-Root Solvers with Applications.
Symmetry, 2019

Derivative Free Fourth Order Solvers of Equations with Applications in Applied Disciplines.
Symmetry, 2019

Local Convergence of a Family of Weighted-Newton Methods.
Symmetry, 2019

Two-Step Solver for Nonlinear Equations.
Symmetry, 2019

Extended Convergence Analysis of the Newton-Hermitian and Skew-Hermitian Splitting Method.
Symmetry, 2019

Ball Convergence for Combined Three-Step Methods Under Generalized Conditions in Banach Space.
Symmetry, 2019

Extending the Kantorovich's theorem on Newton's method for solving strongly regular generalized equation.
Optim. Lett., 2019

Unified convergence analysis of frozen Newton-like methods under generalized conditions.
J. Comput. Appl. Math., 2019

Generalized Kung-Traub method and its multi-step iteration in Banach spaces.
J. Complex., 2019

Local convergence analysis of the Gauss-Newton-Kurchatov method.
CoRR, 2019

Improved semi-local convergence of the Newton-HSS method for solving large systems of equations.
Appl. Math. Lett., 2019

Local convergence of iterative methods for solving equations and system of equations using weight function techniques.
Appl. Math. Comput., 2019

2018
On two high-order families of frozen Newton-type methods.
Numer. Linear Algebra Appl., 2018

Extending the domain of starting points for Newton's method under conditions on the second derivative.
J. Comput. Appl. Math., 2018

On the local convergence study for an efficient k-step iterative method.
J. Comput. Appl. Math., 2018

Predetermining the number of periodic steps in multi-step Newton-like methods for solving equations and systems of equations.
Appl. Math. Comput., 2018

2017
A new analysis for the Keller-Segel model of fractional order.
Numer. Algorithms, 2017

Convergence of Steffensen's method for non-differentiable operators.
Numer. Algorithms, 2017

On the convergence of Newton-like methods using restricted domains.
Numer. Algorithms, 2017

Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions.
Numer. Algorithms, 2017

Local convergence of Jarratt-Type Methods with Less Computation of inversion under Weak conditions.
Math. Model. Anal., 2017

Improving the domain of parameters for Newton's method with applications.
J. Comput. Appl. Math., 2017

On the convergence of a higher order family of methods and its dynamics.
J. Comput. Appl. Math., 2017

Third-degree anomalies of Traub's method.
J. Comput. Appl. Math., 2017

Extended Traub-Woźniakowski convergence and complexity of Newton iteration in Banach space.
J. Complex., 2017

Local convergence of Cauchy-type methods under hypotheses on the first derivative.
Int. J. Comput. Vis. Robotics, 2017

Local convergence of a fast Steffensen-type method on Banach space under weak conditions.
Int. J. Comput. Sci. Math., 2017

Monotone Convergence of Extended Iterative Methods and Fractional Calculus with Applications.
Fundam. Informaticae, 2017

Extending the applicability of the local and semilocal convergence of Newton's method.
Appl. Math. Comput., 2017

Higher-order derivative-free families of Chebyshev-Halley type methods with or without memory for solving nonlinear equations.
Appl. Math. Comput., 2017

Extending the Applicability of the MMN-HSS Method for Solving Systems of Nonlinear Equations under Generalized Conditions.
Algorithms, 2017

Expanding the Applicability of Some High Order Househölder-Like Methods.
Algorithms, 2017

2016
Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus
Studies in Computational Intelligence 649, Springer, ISBN: 978-3-319-33606-0, 2016

Intelligent Numerical Methods: Applications to Fractional Calculus
Studies in Computational Intelligence 624, Springer, ISBN: 978-3-319-26721-0, 2016

Improved convergence analysis for Newton-like methods.
Numer. Algorithms, 2016

A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative.
Numer. Algorithms, 2016

New improved convergence analysis for the secant method.
Math. Comput. Simul., 2016

On the local convergence and the dynamics of Chebyshev-Halley methods with six and eight order of convergence.
J. Comput. Appl. Math., 2016

The majorant method in the theory of Newton-Kantorovich approximations and generalized Lipschitz conditions.
J. Comput. Appl. Math., 2016

Newton's method on generalized Banach spaces.
J. Complex., 2016

Local Convergence and the Dynamics of a Two-Step Newton-Like Method.
Int. J. Bifurc. Chaos, 2016

On a result by Dennis and Schnabel for Newton's method: Further improvements.
Appl. Math. Lett., 2016

A new highly efficient and optimal family of eighth-order methods for solving nonlinear equations.
Appl. Math. Comput., 2016

On the Kurchatov method for solving equations under weak conditions.
Appl. Math. Comput., 2016

Unified convergence domains of Newton-like methods for solving operator equations.
Appl. Math. Comput., 2016

Local Convergence Analysis of an Eighth Order Scheme Using Hypothesis Only on the First Derivative.
Algorithms, 2016

2015
An extension of a theorem by Wang for Smale's α-theory and applications.
Numer. Algorithms, 2015

Directional Chebyshev-type methods for solving equations.
Math. Comput., 2015

Extending the convergence domain of the Secant and Moser method in Banach Space.
J. Comput. Appl. Math., 2015

On the convergence of efficient King-Werner-type methods of order 1+√2.
J. Comput. Appl. Math., 2015

Extended convergence results for the Newton-Kantorovich iteration.
J. Comput. Appl. Math., 2015

Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order.
J. Comput. Appl. Math., 2015

Accessibility of solutions of operator equations by Newton-like methods.
J. Complex., 2015

Ball Convergence for Steffensen-type Fourth-order Methods.
Int. J. Interact. Multim. Artif. Intell., 2015

Local Convergence for an Improved Jarratt-type Method in Banach Space.
Int. J. Interact. Multim. Artif. Intell., 2015

Improved local convergence analysis of the Gauss-Newton method under a majorant condition.
Comput. Optim. Appl., 2015

On the convergence of King-Werner-type methods of order 1 + √2 free of derivatives.
Appl. Math. Comput., 2015

New semilocal and local convergence analysis for the Secant method.
Appl. Math. Comput., 2015

Expanding the applicability of the Secant method under weaker conditions.
Appl. Math. Comput., 2015

On the convergence of inexact two-point Newton-like methods on Banach spaces.
Appl. Math. Comput., 2015

On the convergence of an optimal fourth-order family of methods and its dynamics.
Appl. Math. Comput., 2015

Weak convergence conditions for the Newton's method in Banach space using general majorizing sequences.
Appl. Math. Comput., 2015

Ball convergence comparison between three iterative methods in Banach space under hypothese only on the first derivative.
Appl. Math. Comput., 2015

Enlarging the convergence ball of the method of parabola for finding zero of derivatives.
Appl. Math. Comput., 2015

On the convergence of a damped Newton-like method with modified right hand side vector.
Appl. Math. Comput., 2015

On the convergence of a Damped Secant method with modified right-hand side vector.
Appl. Math. Comput., 2015

Local Convergence of an Efficient High Convergence Order Method Using Hypothesis Only on the First Derivative.
Algorithms, 2015

Local Convergence of an Optimal Eighth Order Method under Weak Conditions.
Algorithms, 2015

Newton-Type Methods on Generalized Banach Spaces and Applications in Fractional Calculus.
Algorithms, 2015

2014
Expanding the Applicability of High-Order Traub-Type Iterative Procedures.
J. Optim. Theory Appl., 2014

Weaker Kantorovich type criteria for inexact Newton methods.
J. Comput. Appl. Math., 2014

Expanding the applicability of Newton's method using Smale's α-theory.
J. Comput. Appl. Math., 2014

Two-step Newton methods.
J. Complex., 2014

Iterative Methods for Nonlinear Equations or Systems and Their Applications 2014.
J. Appl. Math., 2014

Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations.
Int. J. Math. Math. Sci., 2014

Weaker convergence for Newton's method under Hölder differentiability.
Int. J. Comput. Math., 2014

Majorizing sequences for Newton's method under centred conditions for the derivative.
Int. J. Comput. Math., 2014

Optimizing the applicability of a theorem by F. Potra for Newton-like methods.
Appl. Math. Comput., 2014

Extending the applicability of Gauss-Newton method for convex composite optimization on Riemannian manifolds.
Appl. Math. Comput., 2014

Local convergence analysis of proximal Gauss-Newton method for penalized nonlinear least squares problems.
Appl. Math. Comput., 2014

Robust semi-local convergence analysis for inexact Newton method.
Appl. Math. Comput., 2014

Extending the applicability of Newton's method for k-Fréchet differentiable operators in Banach spaces.
Appl. Math. Comput., 2014

On the convergence of Broyden's method in Hilbert spaces.
Appl. Math. Comput., 2014

Newton-type methods on Riemannian manifolds under Kantorovich-type conditions.
Appl. Math. Comput., 2014

2013
Estimating upper bounds on the limit points of majorizing sequences for Newton's method.
Numer. Algorithms, 2013

Unified majorizing sequences for Traub-type multipoint iterative procedures.
Numer. Algorithms, 2013

Directional Secant-Type Methods for Solving Equations.
J. Optim. Theory Appl., 2013

Improved local convergence analysis of inexact Gauss-Newton like methods under the majorant condition in Banach spaces.
J. Frankl. Inst., 2013

On the local convergence of fast two-step Newton-like methods for solving nonlinear equations.
J. Comput. Appl. Math., 2013

On the Secant method.
J. Complex., 2013

Iterative Methods for Nonlinear Equations or Systems and Their Applications.
J. Appl. Math., 2013

Efficient Steffensen-type algorithms for solving nonlinear equations.
Int. J. Comput. Math., 2013

Solving nonlinear equations system via an efficient genetic algorithm with symmetric and harmonious individuals.
Appl. Math. Comput., 2013

Expanding the applicability of Inexact Newton Methods under Smale's (α, γ)-theory.
Appl. Math. Comput., 2013

On an improved convergence analysis of Newton's method.
Appl. Math. Comput., 2013

Extending the applicability of Newton's method on Lie groups.
Appl. Math. Comput., 2013

Expanding the applicability of a modified Gauss-Newton method for solving nonlinear ill-posed problems.
Appl. Math. Comput., 2013

On a bilinear operator free third order method on Riemannian manifolds.
Appl. Math. Comput., 2013

2012
Improved local analysis for a certain class of iterative methods with cubic convergence.
Numer. Algorithms, 2012

Secant-type methods and nondiscrete induction.
Numer. Algorithms, 2012

Majorizing sequences for iterative methods.
J. Comput. Appl. Math., 2012

Improved local convergence of Newton's method under weak majorant condition.
J. Comput. Appl. Math., 2012

Majorizing sequences for iterative procedures in Banach spaces.
J. Complex., 2012

Weaker conditions for the convergence of Newton's method.
J. Complex., 2012

On the semi-local convergence of Halley's method under a center-Lipschitz condition on the second Fréchet derivative.
Appl. Math. Comput., 2012

Local convergence of efficient Secant-type methods for solving nonlinear equations.
Appl. Math. Comput., 2012

New conditions for the convergence of Newton-like methods and applications.
Appl. Math. Comput., 2012

On the semilocal convergence of damped Newton's method.
Appl. Math. Comput., 2012

2011
A derivative free iterative method for solving least squares problems.
Numer. Algorithms, 2011

Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions.
Numer. Algorithms, 2011

On the solution of systems of equations with constant rank derivatives.
Numer. Algorithms, 2011

A semilocal convergence analysis for directional Newton methods.
Math. Comput., 2011

Kantorovich-type semilocal convergence analysis for inexact Newton methods.
J. Comput. Appl. Math., 2011

On the semilocal convergence of efficient Chebyshev-Secant-type methods.
J. Comput. Appl. Math., 2011

A unifying theorem for Newton's method on spaces with a convergence structure.
J. Complex., 2011

Extended sufficient semilocal convergence for the Secant method.
Comput. Math. Appl., 2011

Sixth order derivative free family of iterative methods.
Appl. Math. Comput., 2011

Extending the applicability of Secant methods and nondiscrete induction.
Appl. Math. Comput., 2011

Weak convergence conditions for Inexact Newton-type methods.
Appl. Math. Comput., 2011

Convergence of Directional Methods under mild differentiability and applications.
Appl. Math. Comput., 2011

2010
A convergence analysis for directional two-step Newton methods.
Numer. Algorithms, 2010

A Kantorovich-type convergence analysis of the Newton-Josephy method for solving variational inequalities.
Numer. Algorithms, 2010

On a class of secant-like methods for solving nonlinear equations.
Numer. Algorithms, 2010

On the local convergence of inexact Newton-type methods under residual control-type conditions.
J. Comput. Appl. Math., 2010

Majorizing functions and two-point Newton-type methods.
J. Comput. Appl. Math., 2010

Extending the Newton-Kantorovich hypothesis for solving equations.
J. Comput. Appl. Math., 2010

Inexact Newton-type methods.
J. Complex., 2010

Improved generalized differentiability conditions for Newton-like methods.
J. Complex., 2010

On the convergence of Newton-type methods using recurrent functions.
Int. J. Comput. Math., 2010

An improved convergence analysis for the Newton-Kantorovich method using recurrence relations.
Int. J. Comput. Math., 2010

On the convergence region of Newton's method under Hölder continuity conditions.
Int. J. Comput. Math., 2010

A unified approach for the convergence of certain numerical algorithms, using recurrent functions.
Computing, 2010

Approximation methods for common solutions of generalized equilibrium, systems of nonlinear variational inequalities and fixed point problems.
Comput. Math. Appl., 2010

Improved results on estimating and extending the radius of an attraction ball.
Appl. Math. Lett., 2010

Local convergence of a secant type method for solving least squares problems.
Appl. Math. Comput., 2010

Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative.
Appl. Math. Comput., 2010

On the midpoint method for solving equations.
Appl. Math. Comput., 2010

2009
Generalized equations, variational inequalities and a weak Kantorovich theorem.
Numer. Algorithms, 2009

On an improved local convergence analysis for the Secant method.
Numer. Algorithms, 2009

On the convergence of Newton-type methods under mild differentiability conditions.
Numer. Algorithms, 2009

On Ulm's method using divided differences of order one.
Numer. Algorithms, 2009

On the convergence of modified Newton methods for solving equations containing a non-differentiable term.
J. Comput. Appl. Math., 2009

On the implicit iterative process for strictly pseudo-contractive mappings in Banach spaces.
J. Comput. Appl. Math., 2009

On the weakening of the convergence of Newton's method using recurrent functions.
J. Complex., 2009

On local convergence of a Newton-type method in Banach space.
Int. J. Comput. Math., 2009

On convergence of the modified Newton's method under Hölder continuous Fréchet derivative.
Appl. Math. Comput., 2009

On Newton's method for solving equations containing Fréchet-differentiable operators of order at least two.
Appl. Math. Comput., 2009

2008
On the convergence of the midpoint method.
Numer. Algorithms, 2008

A Fréchet derivative-free cubically convergent method for set-valued maps.
Numer. Algorithms, 2008

Local convergence of Newton-like methods for generalized equations.
Appl. Math. Comput., 2008

2007
On a non-smooth version of Newton's method based on Hölderian assumption
Int. J. Comput. Math., 2007

Improved convergence and complexity analysis of Newton's method for solving equations.
Int. J. Comput. Math., 2007

2005
A new iterative method of asymptotic order 1+sqrt(2) for the computation of fixed points.
Int. J. Comput. Math., 2005

On a two-point Newton-like method of convergent order two.
Int. J. Comput. Math., 2005

2004
Improved convergence analysis for the Secant method based on a certain type of recurrence relations.
Int. J. Comput. Math., 2004

2003
On the Convergence and Application of Newton's Method under Weak Hölder Continuity Assumptions.
Int. J. Comput. Math., 2003

2001
On the radius of convergence of newton's method.
Int. J. Comput. Math., 2001

2000
Forcing sequences and inexact Newton iterates in Banach space.
Appl. Math. Lett., 2000

1999
Relations between forcing sequences and inexact newton-like iterates in banach spaceInexact newton-like iterates in banach space.
Int. J. Comput. Math., 1999

Relations Between Forcing Sequences and Inexact Newton Iterates in Banach Space.
Computing, 1999

Results on Newton methods. Part II: Perturbed Newton-like methods in generalized Banach spaces.
Appl. Math. Comput., 1999

Results on Newton methods. Part 1: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications.
Appl. Math. Comput., 1999

Convergence rates for inexact Newton-like methods at singular points and applications.
Appl. Math. Comput., 1999

On Newton's method under mild differentiability conditions and applications.
Appl. Math. Comput., 1999

On the convergence of two-step methods generated by point-to-point operators.
Appl. Math. Comput., 1999

1998
Sufficient conditions for constructing methods faster than Newton's.
Appl. Math. Comput., 1998

1992
Improved error bounds for the modified secant method.
Int. J. Comput. Math., 1992

1990
A mesh-independence principle for nonlinear operator equations and their discretizations under mild differentiability conditions.
Computing, 1990


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