Contributors: Kharkevych, Yurii
Subject Terms: generalized Caputo proportional fractional derivative, stability, exponential stability, Mittag–Leffler stability, quadratic Lyapunov functions, Hopfield neural networks, fixed point, partial metric space, modular space, partial modular space, weakly compatible mappings, C-class function, Volterra integral equation, statistical convergence, quasi-statistical convergence, asymptotic density, quasi-density, the matrix summability method, Riemann and Lebesgue integrals, statistical Riemann and Lebesgue integral, deferred weighted Riemann summability, Banach space, Bernstein polynomials, positive linear operators, Korovkin-type approximation theorems, Lebesgue-measurable sequences of functions, Weyl-Nagy classes, generalized Abel-Poisson integral, asymptotic equality, Kolmogorov–Nikol’skii problem, uniform metric, BMO, degenerate Beltrami equations, asymptotic homogeneity at infinity, conformality by Belinskii and by Lavrent’iev, hydromechanics, fluid mechanics, parabolic system, optimal control, averaging method, approximate solution, reverse Hardy’s inequality, dynamic inequality, time scale, Fuzzy Modus Ponens, Fuzzy Modus Tollens, reasoning algorithm, intuitionistic fuzzy sets, interval-valued fuzzy sets, confluent hypergeometric function of several variables, recurrence relations, branched continued fraction, approximant, uniform convergence, symmetric polynomial on a Banach space, continuous polynomial on a Banach space, algebraic basis, Lebesgue-Rohlin space, symbolic regression, Mean Square Error, Pearson Correlation Coefficient, oscillations in solutions, dynamic system criteria, waste gasification, Occam’s Razor, nonparametric estimation, pointwise error, local Hölder space, wavelet, set of multisets, topological rings, supersymmetric polynomials, symmetric bases, thema EDItEUR:P Mathematics and Science
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Contributors: Berenguer, Maria Isabel, Ruiz Galán, Manuel
Subject Terms: multi-point iterative methods, iteration functions, polynomial zeros, local convergence, error estimates, semilocal convergence, weakly singular kernel Volterra integral equation, proportional delay, improved trapezoidal quadrature formula, Richardson extrapolation, posteriori error estimate, iterative numerical methods, Schauder bases, Fredholm integral equation, Sylvester matrix equation, Kronecker product, adaptive accelerated proximal gradient method, Newton-accelerated proximal gradient method, generalized three-step numerical method, convergence, Banach space, nonlinear equation, criterion, integral equation, iterative method, frozen Jacobian multi-step iterative method, system of nonlinear equations, high-order convergence, Banach algebras, fixed point theory, functional equations, PIDE, stochastic volatility, semi-discretiztion, RBF-FD, Bates model, nonlinear systems, Newton’s method, iterative methods, sperm swarm optimization algorithm, optimization algorithm, thema EDItEUR:G Reference, Information and Interdisciplinary subjects:GP Research and information: general, thema EDItEUR:P Mathematics and Science
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Contributors: JÄNTSCHI, Lorentz, Tomescu, Mihaela
Subject Terms: closure space, canonically closed, weakly normal, almost normal, π-normal, weakly π-normal, κ-normal, local convergence, nonlinear equations, Banach space, Fréchet-derivative, Gaussian, optimization, geometry, molecular modeling, amino acids, maximum clique, protein graphs, machine learning, ProBiS, entropies via various molecular descriptors, H3BO3 layer structure, subdivision of H3BO3, line graph of H3BO3, thema EDItEUR:K Economics, Finance, Business and Management:KN Industry and industrial studies:KNT Media, entertainment, information and communication industries:KNTX Information technology industries, thema EDItEUR:U Computing and Information Technology:UY Computer science
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Contributors: Du, Wei-Shih, Chu, Liang-Ju, He, Fei, Precup, Radu
Subject Terms: best proximity point, fixed point, monotone mappings, relatively cyclic nonexpansive mappings, partially ordered Banach spaces, modified BBM equations, (3+1)-dimensional equations, white noise, Brownian motion, travelling wave solutions, wick-type stochastic, admissible spaces, hybrid contraction, interpolative contraction, b-metric spaces, simulation function, m-metric space, proximal αp-admissible, αp-admissible weak (F,φ)-proximal contraction, G-proximal graphic contraction, φ-best proximity point, Fourier data, reconstruction, multivariate approximation, piecewise smooth, projection methods, strong convergence, extragradient method, monotone mapping, variational inequalities, critical index, relaxation time, time-translation invariance breaking and restoration, market crash, COVID-19, Gompertz approximants, split common null point, resolvent, metric resolvent, split minimization problem, split equilibrium problem, Banach space, multiple-sets split feasibility problem, strictly pseudocontractive mappings, nonexpansive mappings, viscossity iterative scheme, fixed point problem, n-Banach space, cubic mappings, quartic mappings, the generalized Hyers–Ulam stability, maximal element, sizing-up function, μ-bounded quasi-ordered set, critical point, fuzzy mapping, Ekeland’s variational principle, Caristi’s fixed point theorem, Takahashi’s nonconvex minimization theorem, essential distance, bic Book Industry Communication:G Reference, information & interdisciplinary subjects:GP Research & information: general, bic Book Industry Communication:P Mathematics & science
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Contributors: Cordero, Elena, Trapasso, S. Ivan
Subject Terms: pseudodifferential operators, Gevrey regularity, sharp Gårding inequality, p-evolution equations, ultradifferentiable functions, ultradistributions, extended Gevrey regularity, boundary values of analytic functions, wave front sets, Rio Papaloapan Bridge, vibration signals, damage identification, wavelet energy accumulation method, admissibility condition, the continuous wavelet transform, inversion formula, semi-discrete wavelet transform, tight frames, covriance matrix, polar duality, uncertainty principle, reconstruction problem, BBM equation, ill-posedness, Fourier amalgam spaces, Wiener amalgam spaces, Fourier–Lebesgue spaces, modulation spaces, bounded measures, convolution, homogeneous Banach spaces, integrated group representation, Segal algebra, Wiener amalgam space, bounded uniform partition of unity, locally compact groups, thema EDItEUR:U Computing and Information Technology, thema EDItEUR:U Computing and Information Technology:UY Computer science
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Contributors: Karapinar, Erdal, Martínez-Moreno, Juan, Erhan, Inci M.
Subject Terms: common coupled fixed point, bv(s)-metric space, T-contraction, weakly compatible mapping, quasi-pseudometric, start-point, end-point, fixed point, weakly contractive, variational inequalities, inverse strongly monotone mappings, demicontractive mappings, fixed point problems, Hadamard spaces, geodesic space, convex minimization problem, resolvent, common fixed point, iterative scheme, split feasibility problem, null point problem, generalized mixed equilibrium problem, monotone mapping, strong convergence, Hilbert space, the condition (ℰμ), standard three-step iteration algorithm, uniformly convex Busemann space, compatible maps, common fixed points, convex metric spaces, q-starshaped, fixed-point, multivalued maps, F-contraction, directed graph, metric space, coupled fixed points, cyclic maps, uniformly convex Banach space, error estimate, equilibrium, fixed points, symmetric spaces, binary relations, T-transitivity, regular spaces, b-metric space, b-metric-like spaces, Cauchy sequence, pre-metric space, triangle inequality, weakly uniformly strict contraction, S-type tricyclic contraction, metric spaces, b2-metric space, binary relation, almost ℛg-Geraghty type contraction, thema EDItEUR:G Reference, Information and Interdisciplinary subjects:GP Research and information: general, thema EDItEUR:P Mathematics and Science
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Subject Terms: Lipschitz condition, heston model, rectangular matrices, computational efficiency, Hull–White, order of convergence, signal and image processing, dynamics, divided difference operator, engineering applications, smooth and nonsmooth operators, Newton-HSS method, higher order method, Moore–Penrose, asymptotic error constant, multiple roots, higher order, efficiency index, multiple-root finder, computational efficiency index, Potra–Pták method, nonlinear equations, system of nonlinear equations, purely imaginary extraneous fixed point, attractor basin, point projection, fixed point theorem, convex constraints, weight function, radius of convergence, Frédholm integral equation, semi-local convergence, nonlinear HSS-like method, convexity, accretive operators, Newton-type methods, multipoint iterations, banach space, Kantorovich hypothesis, variational inequality problem, Newton method, semilocal convergence, least square problem, Fréchet derivative, Newton’s method, iterative process, Newton-like method, Banach space, sixteenth-order optimal convergence, nonlinear systems, Chebyshev–Halley-type, Jarratt method, iteration scheme, Newton’s iterative method, basins of attraction, drazin inverse, option pricing, higher order of convergence, non-linear equation, numerical experiment, signal processing, optimal methods, rate of convergence, n-dimensional Euclidean space, non-differentiable operator, projection method, Newton’s second order method, intersection, planar algebraic curve, Hilbert space, conjugate gradient method, sixteenth order convergence method, Padé approximation, optimal iterative methods, error bound, high order, Fredholm integral equation, global convergence, iterative method, integral equation, continuity condition, systems of nonlinear equations, generalized inverse, local convergence, iterative methods, multi-valued quasi-nonexpasive mappings, R-order, finite difference (FD), nonlinear operator equation, basin of attraction, PDE, King’s family, Steffensen’s method, nonlinear monotone equations, Picard-HSS method, nonlinear models, the improved curvature circle algorithm, split variational inclusion problem, computational order of convergence, with memory, multipoint iterative methods, Kung–Traub conjecture, multiple zeros, fourth order iterative methods, parametric curve, optimal order, nonlinear equation, QA1-939, Q1-390
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Authors: Argyros, Ioannis
Subject Terms: Lipschitz condition, order of convergence, Scalar equations, local and semilocal convergence, multiple roots, Nondifferentiable operator, optimal iterative methods, Order of convergence, convergence order, fast algorithms, iterative method, computational convergence order, generalized mixed equilibrium problem, nonlinear equations, systems of nonlinear equations, Chebyshev’s iterative method, local convergence, iterative methods, divided difference, Multiple roots, semi-local convergence, scalar equations, left Bregman asymptotically nonexpansive mapping, basin of attraction, maximal monotone operator, Newton–HSS method, general means, Steffensen’s method, derivative-free method, simple roots, fixed point problem, split variational inclusion problem, weighted-Newton method, ball radius of convergence, Traub–Steffensen method, Newton’s method, fractional derivative, Banach space, multiple-root solvers, uniformly convex and uniformly smooth Banach space, Fréchet-derivative, optimal convergence, Optimal iterative methods, basins of attraction, nonlinear equation, QA1-939, Q1-390
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Contributors: Machado, J. A. Tenreiro, Lopes, António
Subject Terms: multi-agent system (MAS), reinforcement learning (RL), mobile robots, function approximation, Opportunistic complex social network, cooperative, neighbor node, probability model, social relationship, adapted PageRank algorithm, PageRank vector, networks centrality, multiplex networks, biplex networks, divided difference, radius of convergence, Kung–Traub method, local convergence, Lipschitz constant, Banach space, fractional calculus, Caputo derivative, generalized Fourier law, Laplace transform, Fourier transform, Mittag–Leffler function, non-Fourier heat conduction, Mei symmetry, conserved quantity, adiabatic invariant, quasi-fractional dynamical system, non-standard Lagrangians, complex systems, symmetry-breaking, bifurcation theory, complex networks, nonlinear dynamical systems, thema EDItEUR:T Technology, Engineering, Agriculture, Industrial processes:TB Technology: general issues:TBX History of engineering and technology
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