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Extending the Applicability of Two-Step Solvers for Solving Equations
Mathematics, 2019 We present a local convergence of two-step solvers for solving nonlinear operator equations under the generalized Lipschitz conditions for the first- and second-order derivatives and for the first order divided differences.
Ioannis K. Argyros, Stepan Shakhno
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Axioms, 2021 We develop a local convergence of an iterative method for solving nonlinear least squares problems with operator decomposition under the classical and generalized Lipschitz conditions. We consider the case of both zero and nonzero residuals and determine
Ioannis K. Argyros +4 more
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ORDINARY DERIVATIVES VIA SYMMETRIC DERIVATIVES AND A LIPSCHITZ CONDITION VIA A SYMMETRIC LIPSCHITZ CONDITION [PDF]
Real Analysis Exchange, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fourier transforms of Dini-Lipschitz functions
International Journal of Mathematics and Mathematical Sciences, 1986 It is well known that if Lipschitz conditions of a certain order are imposed on a function f(x), then these conditions affect considerably the absolute convergence of the Fourier series and Fourier transforms of f.
M. S. Younis
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IET Control Theory & Applications, 2021 The guaranteed‐performance consensus tracking (GPCT) for non‐linear multi‐agent systems (MASs) with switching communication topologies is presented. Different from the existing work, the non‐linear range of one‐sided Lipschitz non‐linear MASs is wider ...
Wanzhen Quan +3 more
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The Problem Of Lipschitz Condition
, 1993 In our paper we prove that the Smarandache function S does not verify the Lipschitz condition, giving an answer to a problem proposed in 2 and we investigate also tbe possibility that some other function, which involve the function S, verify or nor verify the Lipschitz condition.
Popescu, Marcela, Popescu, Paul
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Lipschitz conditions and lacunarity [PDF]
Journal of the Australian Mathematical Society, 1973 We consider 2π-periodic functions on the limits and give simple and complete characterizations, in terms of Fourier coefficients, of functions which belong to various Lipschitz classes and whose Fourier series are lacunary. Such characterisations seem to be missing from the literature, though there are various wellknown partial characterisations valid ...
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ITM Web of Conferences, 2018 The classical Lipschitz extension problem in concerned for conditions on a pair of metric spaces (X,dX) and (Y,dY) such that for all Ω ⊂ X and for all Lipschitz function and for all Lipschitz function f : Ω → Y, then there is a function g : X → Y that ...
Viet Phan Thanh
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Mixed Caputo Fractional Neutral Stochastic Differential Equations with Impulses and Variable Delay
Fractal and Fractional, 2021 In this manuscript, a new class of impulsive fractional Caputo neutral stochastic differential equations with variable delay (IFNSDEs, in short) perturbed by fractional Brownain motion (fBm) and Poisson jumps was studied.
Mahmoud Abouagwa +4 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary differential equations and ...
Suzete Afonso, Márcia da Silva
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