Results 11 to 20 of about 234 (166)

Smooth Extensions of Lipschitzian Real Functions [PDF]

Proceedings of the American Mathematical Society, 1988
In this short note we point out that any Lipschitzian real function f f defined in a subset K K of a Banach space E E , with span ¯ (K) ≠ E \overline {{\text {span}}} {\text {(K ...
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On Estimation of the Bullen-Mercer Inequality for Several Classes [PDF]

Sahand Communications in Mathematical Analysis
This study establishes Bullen-Mercer type inequalities for $h$-convex functions that use Riemann-Liouville fractional operators.  The subject matter is a novel fractional version of the existing Bullen-Mercer type inequalities, with simple computations ...
Ahmed Hallouz, Bouharket Benaissa, Noureddine Azzouz   +2 more
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Uniformly Lipschitzian mappings in modular function spaces [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2001
Plan Andaluz de Investigación (Junta de Andalucía)
Domínguez Benavides, Tomás, Khamsi, Mohamed Amine, Samadi, Sedki   +2 more
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Subdifferentials of compactly lipschitzian vector-valued functions [PDF]

Annali di Matematica Pura ed Applicata, 1980
We introduce the concept of compactly lipschitzian functions taking values in a topological vector space F. We show that if F is finite dimensional the Lipschitz functions are compactly lipschitizian. We define the notions of generalized directional derivatives and subdifferentials for such functionsf taking values in an ordered topological vector ...
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Iterative Algorithms for Variational Inequalities Governed by Boundedly Lipschitzian and Strongly Monotone Operators

Journal of Applied Mathematics, 2015
Consider the variational inequality VI(C,F) of finding a point x*∈C satisfying the property 〈Fx*,x-x*〉≥0 for all x∈C, where C is a level set of a convex function defined on a real Hilbert space H and F:H→H is a boundedly Lipschitzian (i.e., Lipschitzian ...
Caiping Yang, Songnian He
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A Projection Hestenes–Stiefel Method with Spectral Parameter for Nonlinear Monotone Equations and Signal Processing

Mathematical and Computational Applications, 2020
A number of practical problems in science and engineering can be converted into a system of nonlinear equations and therefore, it is imperative to develop efficient methods for solving such equations.
Aliyu Muhammed Awwal, Lin Wang, Poom Kumam, Hassan Mohammad, Wiboonsak Watthayu   +4 more
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Finite Chainability, Locally Lipschitzian and Uniformly Continuous Functions

Zeitschrift für Analysis und ihre Anwendungen, 1998
We present a notion of a finitely chainable subset of a metric space X . We show that Y is a finitely chainable subset of ...
MARINO, Giuseppe, LEWICKI G, PIETRAMALA, Paolamaria   +2 more
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On the Nemytskii Operator in the Space of Functions of Bounded (p, 2, α)-Variation with Respect to the Weight Function

Demonstratio Mathematica, 2014
In this paper, we consider the Nemytskii operator (Hf)(t) = h(t, f(t)), generated by a given function h. It is shown that if H is globally Lipschitzian and maps the space of functions of bounded (p,2,α)-variation (with respect to a weight function α ...
Aziz Wadie
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Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controls

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2020
Rössler system has become one of the reference chaotic systems. Its novelty when introduced, being that exhibits a chaotic attractor generated by a simpler set of nonlinear differential equations than Lorenz system.
A. E. Choque-Rivero, Graciela A. González, E. Cruz Mullisaca   +2 more
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The error estimation in terms of the first derivative in a numerical method for the solution of a delay integral equation from biomathematics

Journal of Numerical Analysis and Approximation Theory, 2005
The positive, bounded and smooth solution of a delay integral equation, which arise in epidemics spread, can be found in an approximative manner using numerical methods achieved by the sequence of successive approximations and quadrature rules classified
Alexandru Bica
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