Works matching AU Argyros, Ioannis K.
Results: 299
An extended study of two multistep higher order convergent methods for solving nonlinear equations.
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- Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 3, p. 3907, doi. 10.1002/mma.10524
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Extending the convergence domain of Newton's method for twice Fréchet differentiable operators.
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- Analysis & Applications, 2016, v. 14, n. 2, p. 303, doi. 10.1142/S0219530515500013
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Memory Based Approaches to One-Dimensional Nonlinear Models.
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- Acta Applicandae Mathematicae, 2024, v. 195, n. 1, p. 1, doi. 10.1007/s10440-024-00703-9
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Algorithms of predictor-corrector type with convergence and stability analysis for solving nonlinear systems.
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- AIMS Mathematics, 2024, v. 9, n. 11, p. 1, doi. 10.3934/math.20241538
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EXTENDING THE APPLICABILITY OF AN ULM-NEWTON-LIKE METHOD UNDER GENERALIZED CONDITIONS IN A BANACH SPACE.
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- Transactions of A. Razmadze Mathematical Institute, 2020, v. 174, n. 1, p. 15
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Three novel inertial explicit Tseng's extragradient methods for solving pseudomonotone variational inequalities.
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- Optimization, 2022, v. 71, n. 16, p. 4697, doi. 10.1080/02331934.2021.1963248
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Extended three step sixth order Jarratt-like methods under generalized conditions for nonlinear equations.
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- Arabian Journal of Mathematics, 2022, v. 11, n. 3, p. 443, doi. 10.1007/s40065-022-00379-9
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On the Implementation of Iterative Methods Without Inverse Updating for Solving Equations in Banach Spaces.
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- International Journal of Computational Methods, 2025, v. 22, n. 2, p. 1, doi. 10.1142/S0219876224500518
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Extended High Convergence Compositions for Solving Nonlinear Equations in Banach Space.
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- International Journal of Computational Methods, 2024, v. 21, n. 1, p. 1, doi. 10.1142/S0219876223500214
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A Class of Higher-Order Newton-Like Methods for Systems of Nonlinear Equations.
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- International Journal of Computational Methods, 2022, v. 19, n. 2, p. 1, doi. 10.1142/S0219876221500596
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Ball Convergence for a Multi-Step Harmonic Mean Newton-Like Method in Banach Space.
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- International Journal of Computational Methods, 2020, v. 17, n. 5, p. N.PAG, doi. 10.1142/S0219876219400188
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An Optimal Reconstruction of Chebyshev–Halley-Type Methods with Local Convergence Analysis.
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- International Journal of Computational Methods, 2020, v. 17, n. 5, p. N.PAG, doi. 10.1142/S0219876219400176
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Ball Convergence for a Multi-Step Harmonic Mean Newton-Like Method in Banach Space.
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- International Journal of Computational Methods, 2020, v. 17, p. N.PAG, doi. 10.1142/S0219876219400188
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An Optimal Reconstruction of Chebyshev–Halley-Type Methods with Local Convergence Analysis.
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- International Journal of Computational Methods, 2020, v. 17, p. N.PAG, doi. 10.1142/S0219876219400176
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Design and Analysis of a New Class of Derivative-Free Optimal Order Methods for Nonlinear Equations.
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- International Journal of Computational Methods, 2018, v. 15, n. 3, p. -1, doi. 10.1142/S021987621850010X
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Ball Convergence for a Family of Quadrature-Based Methods for Solving Equations in Banach Space.
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- International Journal of Computational Methods, 2017, v. 14, n. 2, p. -1, doi. 10.1142/S0219876217500177
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Unified Ball Convergence of Inexact Methods For Finding Zeros with Multiplicity.
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- Applications & Applied Mathematics, 2019, v. 14, n. 1, p. 223
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Unified Convergence Analysis of Certain At Least Fifth Order Methods.
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- Carpathian Journal of Mathematics, 2025, v. 41, n. 2, p. 479, doi. 10.37193/CJM.2025.02.14
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Extended convergence of Gauss-Newton's method and uniqueness of the solution.
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- Carpathian Journal of Mathematics, 2018, v. 34, n. 2, p. 135, doi. 10.37193/cjm.2018.02.02
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Extending the applicability of Newton's method using Wang's- Smale's α-theory.
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- Carpathian Journal of Mathematics, 2016, v. 33, n. 1, p. 27
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On the monotone convergence of general Newton-like methods.
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- Bulletin of the Australian Mathematical Society, 1992, v. 45, n. 3, p. 489, doi. 10.1017/S0004972700030392
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Sharp error bounds for Newton-like methods under weak smoothness assumptions.
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- Bulletin of the Australian Mathematical Society, 1992, v. 45, n. 3, p. 415, doi. 10.1017/S0004972700030318
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On time dependent multistep dynamic processes.
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- Bulletin of the Australian Mathematical Society, 1991, v. 43, n. 1, p. 51, doi. 10.1017/S0004972700028768
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On Newton's method and nondiscrete mathematical induction.
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- Bulletin of the Australian Mathematical Society, 1988, v. 38, n. 1, p. 131, doi. 10.1017/S0004972700027349
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Newton-like methods under mild differentiability conditions with error analysis.
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- Bulletin of the Australian Mathematical Society, 1988, v. 37, n. 1, p. 131, doi. 10.1017/S0004972700004238
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Quadratic equations and applications to Chandrasekhar's and related equations.
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- Bulletin of the Australian Mathematical Society, 1985, v. 32, n. 2, p. 275, doi. 10.1017/S0004972700009953
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Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations.
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- International Journal of Mathematics & Mathematical Sciences, 2014, p. 1, doi. 10.1155/2014/754154
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EXTENDED KUNG-TRAUB-TYPE METHOD FOR SOLVING EQUATIONS.
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- TWMS Journal of Pure & Applied Mathematics, 2021, v. 12, n. 2, p. 193
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On a novel seventh convergence order method for solving nonlinear equations and its extensions.
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- Asian-European Journal of Mathematics, 2022, v. 15, n. 11, p. 1, doi. 10.1142/S1793557122501911
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Ball convergence for a three-point method with optimal convergence order eight under weak conditions.
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- Asian-European Journal of Mathematics, 2020, v. 13, n. 2, p. N.PAG, doi. 10.1142/S1793557120500485
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Local convergence of deformed Euler-Halley-type methods in Banach space under weak conditions.
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- Asian-European Journal of Mathematics, 2017, v. 10, n. 2, p. -1, doi. 10.1142/S1793557117500863
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Ball convergence of some fourth and sixth-order iterative methods.
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- Asian-European Journal of Mathematics, 2016, v. 9, n. 2, p. -1, doi. 10.1142/S1793557116500340
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Local convergence of deformed Jarratt-type methods in Banach space without inverses.
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- Asian-European Journal of Mathematics, 2016, v. 9, n. 1, p. -1, doi. 10.1142/S1793557116500157
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On a sixth-order Jarratt-type method in Banach spaces.
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- Asian-European Journal of Mathematics, 2015, v. 8, n. 4, p. -1, doi. 10.1142/S1793557115500655
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Iterated convergence on Banach space valued functions of abstract g-fractional calculus.
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- European Physical Journal: Special Topics, 2017, v. 226, n. 16-18, p. 3667, doi. 10.1140/epjst/e2018-00023-5
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On obtaining order of convergence of Jarratt-like method without using Taylor series expansion.
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- Computational & Applied Mathematics, 2024, v. 43, n. 4, p. 1, doi. 10.1007/s40314-024-02767-7
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Extended Kantorovich theory for solving nonlinear equations with applications.
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- Computational & Applied Mathematics, 2023, v. 42, n. 2, p. 1, doi. 10.1007/s40314-023-02203-2
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Modified proximal-like extragradient methods for two classes of equilibrium problems in Hilbert spaces with applications.
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- Computational & Applied Mathematics, 2021, v. 40, n. 2, p. 1, doi. 10.1007/s40314-020-01385-3
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Modified proximal-like extragradient methods for two classes of equilibrium problems in Hilbert spaces with applications.
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- Computational & Applied Mathematics, 2021, v. 40, n. 2, p. 1, doi. 10.1007/s40314-020-01385-3
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A Krasnosel’skii-Zincenko-type method in K-normed spaces for solving equations.
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- Computational & Applied Mathematics, 2018, v. 37, n. 3, p. 2399, doi. 10.1007/s40314-017-0456-7
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Extended Convergence Analysis for an Efficient Eighth Order Method in Banach Spaces under Weak ω-Conditions.
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- Southeast Asian Bulletin of Mathematics, 2023, v. 47, n. 1, p. 1
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Ball Convergence of an Efficient High Order Iterative Method for Solving Banach Valued Equations.
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- Southeast Asian Bulletin of Mathematics, 2022, v. 46, n. 2, p. 141
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Ball Convergence Theorems for General Iterative Procedures and Their Applications.
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- Southeast Asian Bulletin of Mathematics, 2018, v. 42, n. 3, p. 315
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Improved convergence analysis of the Secant method using restricted convergence domains with real-world applications.
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- Journal of Nonlinear Sciences & Applications (JNSA), 2018, v. 11, n. 11, p. 1215, doi. 10.22436/jnsa.011.11.01
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ON THE SEMI-LOCAL CONVERGENCE OF A NEWTON-TYPE METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION.
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- Journal of Concrete & Applicable Mathematics, 2008, v. 6, n. 1, p. 33
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A KANTOROVICH ANALYSIS OF NEWTON METHODS ON LIE GROUPS.
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- Journal of Concrete & Applicable Mathematics, 2008, v. 6, n. 1, p. 21
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Ball convergence of derivative free iterative methods with or without memory using weight operator technique.
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- Proyecciones - Journal of Mathematics, 2024, v. 43, n. 3, p. 649, doi. 10.22199/issn.0717-6279-4928
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On the Gauss--Newton method for solving equations.
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- Proyecciones - Journal of Mathematics, 2012, v. 31, n. 1, p. 11, doi. 10.4067/S0716-09172012000100002
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ON THE LOCAL CONVERGENCE OF A MIDPOINT METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION.
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- Proyecciones - Journal of Mathematics, 2009, v. 28, n. 2, p. 155, doi. 10.4067/S0716-09172009000200005
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ON THE LOCAL CONVERGENCE OF A TWO-STEP STEFFENSEN-TYPE METHOD FOR SOLVING GENERALIZED EQUATIONS.
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- Proyecciones - Journal of Mathematics, 2008, v. 27, n. 3, p. 319
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