Results 31 to 40 of about 5,534 (165)

Ostrowski-type inequalities in abstract distance spaces

Researches in Mathematics
For non-empty sets X we define notions of distance and pseudo metric with values in a partially ordered set that has a smallest element $\theta $. If $h_X$ is a distance in $X$ (respectively, a pseudo metric in $X$), then the pair $(X,h_X)$ is called a
V.F. Babenko, V.V. Babenko, O.V. Kovalenko   +2 more
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Norm-attaining Lipschitz functionals [PDF]

Banach Journal of Mathematical Analysis, 2016
To appear in Banach Journal of Mathematical ...
Kadets, Vladimir, Martín, Miguel, Soloviova, Mariia   +2 more
openaire   +3 more sources

On Series-Like Iterative Equation with a General Boundary Restriction

Fixed Point Theory and Applications, 2009
By means of Schauder fixed point theorem and Banach contraction principle, we investigate the existence and uniqueness of Lipschitz solutions of the equation 𝒫(f)∘f=F. Moreover, we get that the solution f depends continuously on F.
Wei Song, Guo-qiu Yang, Feng-chun Lei
doaj   +2 more sources

Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels

Journal of Inequalities and Applications, 2018
Let TΠb→ $T_{\Pi\vec {b}}$ be the commutator generated by a multilinear square function and Lipschitz functions with kernel satisfying Dini-type condition.
Zengyan Si, Qingying Xue
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On Lipschitz ball noncollapsing functions and uniform co-Lipschitz mappings of the plane

Abstract and Applied Analysis, 2005
We give a sharp estimate on the cardinality of point preimages of a uniform co-Lipschitz mapping on the plane. We also give a necessary and sufficient condition for a ball noncollapsing Lipschitz function to have a point with infinite preimage.
Olga Maleva
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On Nonsmooth Global Implicit Function Theorems for Locally Lipschitz Functions from Banach Spaces to Euclidean Spaces

Abstract and Applied Analysis, 2022
In this paper, we establish a generalization of the Galewski-Rădulescu nonsmooth global implicit function theorem to locally Lipschitz functions defined from infinite dimensional Banach spaces into Euclidean spaces.
Guy Degla, Cyrille Dansou, Fortuné Dohemeto   +2 more
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Some properties of the operators defined by Lupaș

Journal of Numerical Analysis and Approximation Theory, 2014
In the present paper, we show that a subclass of the operators defined by Lupaș [12] preserve properties of the modulus of continuity function and Lipschitz constant and the order of a Lipschitz continuous function.
Ayşegül Erençin, Gülen Bașcanbaz-Tunca, Fatma Tașdelen   +2 more
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Well ordered monotone iterative technique for nonlinear second order four point Dirichlet BVPs

Mathematical Modelling and Analysis, 2022
In this article, we develop a monotone iterative technique (MI-technique) with lower and upper (L-U) solutions for a class of four-point Dirichlet nonlinear boundary value problems (NLBVPs), defined as,  where , the non linear term is continuous ...
Amit Verma, Nazia Urus
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Embedding with a Lipschitz function

Random Structures & Algorithms, 2005
AbstractWe investigate a new notion of embedding of subsets of {−1,1}n in a given normed space, in a way which preserves the structure of the given set as a class of functions on {1, …, n}. This notion is an extension of the margin parameter often used in Nonparametric Statistics.
openaire   +3 more sources

Superposition operator problems of Hölder-Lipschitz spaces

Demonstratio Mathematica
Let ff be a function defined on the real line, and Tf{T}_{f} be the corresponding superposition operator which maps hh to Tf(h){T}_{f}\left(h), i.e., Tf(h)=f∘h{T}_{f}\left(h)=f\circ h. In this article, the sufficient and necessary conditions such that Tf{
Niu Yeli, Wang Heping
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