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Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6202
Abstract: The aim of this research is to present a new iterative procedure in approximating nonlinear system of algebraic equations with applications in integral equations as well as partial differential equations (PDEs). The presented scheme consists…
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Keywords:
scheme systems;
multistep iteration;
efficient multistep;
iteration scheme ... See more keywords
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Published in 2019 at "IEEE Access"
DOI: 10.1109/access.2019.2919520
Abstract: The visual beauty, self-similarity, and complexity of Mandelbrot sets and Julia sets have made an attractive field of research. One can find many generalizations of these sets in the literature. One such generalization is the…
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Keywords:
via iteration;
convexity;
scheme convexity;
iteration scheme ... See more keywords
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Published in 2022 at "IEEE transactions on neural networks and learning systems"
DOI: 10.1109/tnnls.2022.3143527
Abstract: In this article, a novel value iteration scheme is developed with convergence and stability discussions. A relaxation factor is introduced to adjust the convergence rate of the value function sequence. The convergence conditions with respect…
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Keywords:
convergence;
value;
value iteration;
iteration scheme ... See more keywords
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Published in 2023 at "Axioms"
DOI: 10.3390/axioms12020108
Abstract: In this paper, we present a series of fixed point results for Mann’s iteration scheme in the framework of Gb-metric spaces. First, we introduce the concept of convex Gb-metric space by means of a convex…
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Keywords:
iteration scheme;
convex metric;
fixed point;
mann iteration ... See more keywords
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Published in 2019 at "Mathematics"
DOI: 10.3390/math7070637
Abstract: Derivative-free schemes are a class of competitive methods since they are one remedy in cases at which the computation of the Jacobian or higher order derivatives of multi-dimensional functions is difficult. This article studies a…
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Keywords:
integral equations;
derivative free;
scheme nonlinear;
free iteration ... See more keywords