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Modified Inertial Projection Method for Solving Pseudomonotone Variational Inequalities with Non-Lipschitz in Hilbert Spaces
This paper deals with a class of inertial gradient projection methods for solving a variational inequality problem involving pseudomonotone and...
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On Projectional Skeletons and the Plichko Property in Lipschitz-Free Banach Spaces
We study projectional skeletons and the Plichko property in Lipschitz-free spaces, relating these concepts to the geometry of the underlying metric...
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Two New Lipschitz Type Spaces and Their Characterizations
In this paper, we first introduce the weak Lipschitz spaces WLip q,α , 1 < q < ∞, 0 < α < 1 which are the analog of weak Lebesgue spaces L q ,∞ in the...
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Smooth approximation of Lipschitz domains, weak curvatures and isocapacitary estimates
We provide a novel approach to approximate bounded Lipschitz domains via a sequence of smooth, bounded domains. The flexibility of our method allows...
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Partial regularity for Lipschitz solutions to the minimal surface system
In this paper, we study the regularity of several notions of Lipschitz solutions to the minimal surface system with an emphasis on partial regularity...
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Bi-Lipschitz Invariance of the Multiplicity
The multiplicity of an algebraic curve C in the complex plane at a point p on that curve is defined as the number of points that occur at the...
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The Frobenius Theorem for Log-Lipschitz Subbundles
We extend the definition of involutivity to non-Lipschitz tangent subbundles using generalized functions. We prove the Frobenius Theorem with sharp...
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A Successive Linear Relaxation Method for MINLPs with Multivariate Lipschitz Continuous Nonlinearities
We present a novel method for mixed-integer optimization problems with multivariate and Lipschitz continuous nonlinearities. In particular, we do not...
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Lipschitz Clustering in Metric Spaces
In this paper, the Lipschitz clustering property of a metric space refers to the existence of Lipschitz retractions between its finite subset spaces....
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Canonical embedding of Lipschitz-free p-spaces
We find a new finite algorithm for evaluation of Lipschitz-free p -space norm in finite-dimensional Lipschitz-free p -spaces. We use this algorithm to...
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Harmonic Lipschitz Type Spaces and Composition Operators Meet Majorants
The main purpose of this paper is to develop some methods to study the composition operators between harmonic Lipschitz type spaces. Some...
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Mixed Lipschitz Spaces and Their Applications
The purpose of this paper is to introduce bi-parameter mixed Lipschitz spaces and characterize them via the Littlewood-Paley theory. As an...
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Weighted Composition Operators Between Pointed Lipschitz Spaces
We give a complete description of weighted composition operators between pointed Lipschitz spaces on any pointed metric spaces, not necessarily...
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Estimates for Dirichlet Eigenvalues of Divergence Form Elliptic Operators in Non-Lipschitz Domains
We obtain estimates for Dirichlet eigenvalues of divergence form elliptic operators −div [ A ( z )∇ f ( z )] in bounded non-Lipschitz domains. We propose a...
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Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation
This survey hinges on the interplay between regularity and approximation for linear and quasilinear fractional elliptic problems on Lipschitz...
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Absolutely Convergent Fourier–Bessel Series and Generalized Lipschitz Classes
In this paper, we give necessary and sufficient conditions in terms of Fourier–Bessel coefficients of a function f , to ensure that f belongs either...
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Improved Upper Bounds for the Hot Spots Constant of Lipschitz Domains
The Hot Spots constant for bounded smooth domains was recently introduced by Steinerberger (
2021 ) as a means to control the global extrema of the... -
Lipschitz (q, p)-Summing Maps from C(K)-Spaces to Metric Spaces
Variants of the notion of ( q , p )-summing operator are introduced in the setting of Lipschitz map**s acting between metric spaces. Some classes of...
