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On the Lipschitz condition in the fractal calculus

Chaos, Solitons & Fractals, 2017
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Alireza K. Golmankhaneh, Cemil Tunc
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Subgradient Criteria for Monotonicity, The Lipschitz Condition, and Convexity

Canadian Journal of Mathematics, 1993
AbstractLet ƒ H → (—∞,∞] be lower semicontinuous, where H is a real Hilbert space. An approach based upon nonsmooth analysis and optimization is used in order to characterize monotonicity of ƒ with respect to a cone, as well as Lipschitz behavior and constancy.
Clarke, F. H.   +2 more
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On the weak Lipschitz condition for quasiconformal mappings

Доклады Академии Наук / Doklady Mathematics, 2000
It is known that the continuity of the Beltrami coefficient \(\mu=\mu(z)\) of a quasiconformal mapping \(f\) of the plane does not guarantee that \(f\) is continuously differentiable. In this paper, the authors study the problem of the weak Lipschitz condition for quasiconformal mapping and, as a strengthening of a result of \textit{P. P.
Vuorinen, M.   +2 more
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The Lipschitz condition without tears

International Journal of Mathematical Education in Science and Technology, 1991
The use of computers to find graphical solutions of ordinary differential equations (o.d.e.s.) increases the population to which we may teach the subject. At the same time it increases the importance of finding a clear and elementary way to the uniqueness problem.
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A Sufficient Condition for Lipschitz Stability of Controlled Invariant Subspaces

Mediterranean Journal of Mathematics, 2009
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Peña Carrera, Marta   +2 more
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Newton’s Method under Different Lipschitz Conditions

2001
The classical Kantorovich theorem for Newton's method assumes that the derivative of the involved operator satisfies a Lipschitz condition ?F? (x0-1 [F? (x) - F? (y)] ? ? L?x - y? In this communication, we analyse the different modifications of this condition, with a special emphasis in the center-Lipschitz condition: ?F? (x0)-1 [F? (x) - F? (x0] ? ? ?(
José Manuel Gutiérrez Jiménez   +1 more
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Asymptotic formulas and Lipschitz conditions

1967
If we let p → ∞ in the theorems of § 6 they go over formally into theorems about the boundedness of x−γϕ(x)(−1 < y < 0) or of |x − a| −γ|ϕ(x)−ϕ(a)| (0 ϕ y < 1), and about the boundedness of nγ+1 λ n or of $$ {n^\gamma }\sum\limits_{k = n}^\infty {{\lambda _k}}. $$
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The Strong Convexity Supporting Condition and the Lipschitz Condition for the Metric Projection

Mathematical Notes
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Balashov, M. V., Biglov, K. Z.
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Iterative process for certain nonlinear mappings with lipschitz condition

Applied Mathematics and Mechanics, 2001
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