Results 21 to 30 of about 6,536,345 (211)
Algorithms, 2023 We consider a class of finite-dimensional variational inequalities where both the operator and the constraint set can depend on a parameter. Under suitable assumptions, we provide new estimates for the Lipschitz constant of the solution, which ...
Mauro Passacantando, Fabio Raciti
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Mathematics, 2023 We introduce a method based on Lipschitz pointwise transformations to define a distance on a Banach function space from its norm. We show how some specific lattice geometric properties (p-convexity, p-concavity, p-regularity) or, equivalently, some types
Roger Arnau, Enrique A. Sánchez-Pérez
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Non-Linear Operators and Differentiability of Lipschitz Functions
Set-Valued and Variational Analysis, 2023 In this work we provide a characterization of distinct type of (linear and non-linear) maps between Banach spaces in terms of the differentiability of certain class of Lipschitz functions. Our results are stated in an abstract bornological and non-linear framework.
Bachir, Mohammed +1 more
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Lipschitz geometry of operator spaces and Lipschitz-free operator spaces [PDF]
, 2022 We show that there is an operator space notion of Lipschitz embeddability between operator spaces which is strictly weaker than its linear counterpart but which is still strong enough to impose linear restrictions on operator space structures. This shows
Sinclair, Thomas +2 more
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An extension of the Cheney-Sharma operator of the first kind
Journal of Numerical Analysis and Approximation Theory, 2023 We extend the Cheney-Sharma operators of the first kind using Stancu type technique and we study some approximation properties of the new operator.
Teodora Cătinaș, Iulia Buda
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Lipschitz functions of perturbed operators
Comptes Rendus. Mathématique, 2009 We prove that if f is a Lipschitz function on R , and A and B are self-adjoint operators such that
Nazarov, Fedor, Peller, Vladimir
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On the Lipschitz operator algebras [PDF]
, 2009 summary:In a recent paper by H. X. Cao, J. H. Zhang and Z. B. Xu an $\alpha $-Lipschitz operator from a compact metric space into a Banach space $A$ is defined and characterized in a natural way in the sence that $F:K\rightarrow A$ is a $\alpha ...
Shokri, A. A., Ebadian, A.
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Journal of Inequalities and Applications, 2017 The main purpose of this paper is to establish the weighted ( L p , L q ) $(L^{p},L^{q})$ inequalities of the oscillation and variation operators for the multilinear Calderón-Zygmund singular integral with a Lipschitz function.
Yue Hu, Yueshan Wang
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Mathematics, 2021 The motive of this paper is to discuss the local convergence of a two-step Newton-type method of convergence rate three for solving nonlinear equations in Banach spaces.
Akanksha Saxena +4 more
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Boundedness of composition operators on Morrey spaces and weak Morrey spaces
Journal of Inequalities and Applications, 2021 In this study, we investigate the boundedness of composition operators acting on Morrey spaces and weak Morrey spaces. The primary aim of this study is to investigate a necessary and sufficient condition on the boundedness of the composition operator ...
Naoya Hatano +3 more
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