Articles with "iterative scheme" as a keyword



Iterative scheme generating method beyond Ishikawa iterative method

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Published in 2024 at "Mathematische Annalen"

DOI: 10.1007/s00208-024-02977-8

Abstract: We propose an iterative scheme generating method to address common fixed point problems. Our approach yields diverse iterative schemes for finding common fixed points. The derivative results include the Ishikawa iterative method and its variations.… read more here.

Keywords: generating method; method; iterative scheme; ishikawa iterative ... See more keywords

Iterative scheme-inspired network for impulse noise removal

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Published in 2018 at "Pattern Analysis and Applications"

DOI: 10.1007/s10044-018-0762-8

Abstract: This paper presents a supervised data-driven algorithm for impulse noise removal via iterative scheme-inspired network (IIN). IIN is defined over a data flow graph, which is derived from the iterative procedures in Alternating Direction Method… read more here.

Keywords: impulse noise; iterative scheme; noise removal; noise ... See more keywords

An iterative scheme for testing the positive definiteness of multivariate homogeneous forms*

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Published in 2019 at "International Journal of Computer Mathematics"

DOI: 10.1080/00207160.2019.1567915

Abstract: ABSTRACT A positive-definite homogeneous multivariate form plays a critical role in the medical imaging and automatic control, and the definiteness of this form can be identified by a special structure tensor. In this paper, we… read more here.

Keywords: positive definite; multivariate; form; iterative scheme ... See more keywords

Strong convergence theorems of an iterative scheme for strictly pseudocontractive mappings in Banach spaces

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Published in 2018 at "Optimization"

DOI: 10.1080/02331934.2018.1430147

Abstract: Abstract The article establishes the sufficient and necessary conditions for the strong convergence of the Ishikawa iterative scheme with random errors in the sense of Xu for a strictly pseudocontractive mapping in an arbitrary real… read more here.

Keywords: iterative scheme; banach; strong convergence; strictly pseudocontractive ... See more keywords

Explicit-Iterative Scheme for the Time Integration of a System of Navier–Stokes Equations

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Published in 2020 at "Mathematical Models and Computer Simulations"

DOI: 10.1134/s2070048220060174

Abstract: We propose a new explicit-iterative scheme for time integrating the multidimensional Navier–Stokes equations of a compressible environment through splitting into convective and diffusive stages, which are performed sequentially at each time step. The convective stage… read more here.

Keywords: time; iterative scheme; scheme; explicit iterative ... See more keywords

A preconditioned AOR iterative scheme for systems of linear equations with L-matrics

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Published in 2019 at "Open Mathematics"

DOI: 10.1515/math-2019-0125

Abstract: Abstract In this paper we investigate theoretically and numerically the new preconditioned method to accelerate over-relaxation (AOR) and succesive over-relaxation (SOR) schemes, which are used to the large sparse linear systems. The iterative method that… read more here.

Keywords: preconditioned aor; method; iterative scheme; linear equations ... See more keywords

SOME FIXED POINT RESULTS FOR A NEW THREE STEPS ITERATION PROCESS IN BANACH SPACES

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Published in 2017 at "Fixed Point Theory"

DOI: 10.24193/fpt-ro.2017.2.50

Abstract: In this paper, we introduce a three step iteration method and show that this method can be used to approximate fixed point of weak contraction mappings. Furthermore, we prove that this iteration method is equivalent… read more here.

Keywords: iteration; fixed point; iterative scheme; contraction mappings ... See more keywords

A New Robust Iterative Scheme Applied in Solving a Fractional Diffusion Model for Oxygen Delivery via a Capillary of Tissues

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Published in 2024 at "Mathematics"

DOI: 10.3390/math12091339

Abstract: In this paper, we constructed a new and robust fixed point iterative scheme called the UO iterative scheme for the approximation of a contraction mapping. The scheme converges strongly to the fixed point of a… read more here.

Keywords: scheme; oxygen; iterative scheme; scheme applied ... See more keywords

An Efficient Iterative Scheme for Approximating the Fixed Point of a Function Endowed with Condition (Bγ,μ) Applied for Solving Infectious Disease Models

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Published in 2025 at "Mathematics"

DOI: 10.3390/math13040562

Abstract: The purpose of this paper is to construct a new fixed-point iterative scheme, called the Picard-like iterative scheme, for approximating the fixed point of a mapping that satisfies condition (Bγ,μ) in the setting of a… read more here.

Keywords: scheme; fixed point; iterative scheme; approximating fixed ... See more keywords

Analytical View of Nonlinear Delay Differential Equations Using Sawi Iterative Scheme

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Published in 2022 at "Symmetry"

DOI: 10.3390/sym14112430

Abstract: This paper presents the idea of the Sawi iterative scheme (SIS) to derive the analytical solution of nonlinear delay differential equations (DDEqs). We apply the Sawi transform to construct a recurrence relation which is now… read more here.

Keywords: nonlinear delay; iterative scheme; delay differential; sawi iterative ... See more keywords

Extension of King’s Iterative Scheme by Means of Memory for Nonlinear Equations

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Published in 2023 at "Symmetry"

DOI: 10.3390/sym15051116

Abstract: We developed a new family of optimal eighth-order derivative-free iterative methods for finding simple roots of nonlinear equations based on King’s scheme and Lagrange interpolation. By incorporating four self-accelerating parameters and a weight function in… read more here.

Keywords: nonlinear equations; iterative scheme; king iterative; extension king ... See more keywords