Results 11 to 20 of about 5,534 (165)
An Implementation of Lipschitz Simple Functions in Computer Algebra System Singular
A complete classification of simple function germs with respect to Lipschitz equivalence over the field of complex numbers ℂ was given by Nguyen et al. The aim of this article is to implement a classifier in terms of easy computable invariants to compute
Yanan Liu +6 more
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Nonlinear Volterra Integrodifferential Equations from above on Unbounded Time Scales
The paper is devoted to studying the existence, uniqueness and certain growth rates of solutions with certain implicit Volterra-type integrodifferential equations on unbounded from above time scales.
Andrejs Reinfelds, Shraddha Christian
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The classical Lipschitz extension problem in concerned for conditions on a pair of metric spaces (X,dX) and (Y,dY) such that for all Ω ⊂ X and for all Lipschitz function and for all Lipschitz function f : Ω → Y, then there is a function g : X → Y that ...
Viet Phan Thanh
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Algorithmic Aspects of Lipschitz Functions [PDF]
We characterize the variation functions of computable Lipschitz functions. We show that a real
Cameron E. Freer +3 more
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Notes on Lipschitz Properties of Nonlinear Scalarization Functions with Applications
Various kinds of nonlinear scalarization functions play important roles in vector optimization. Among them, the one commonly known as the Gerstewitz function is good at scalarizing.
Fang Lu, Chun-Rong Chen
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In this paper, we consider a class of mathematical programs with switching constraints (MPSCs) where the objective involves a non-Lipschitz term. Due to the non-Lipschitz continuity of the objective function, the existing constraint qualifications for ...
Jinman Lv, Zhenhua Peng, Zhongping Wan
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On boundedly-convex functions on pseudo-topological vector spaces
Notions of a boundedly convex function and of a Lipschitz-continuous function are extended to the case of functions on pseudo-topological vector spaces.
Vladimir Averbuch
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Smooth Approximation of Lipschitz Functions on Finsler Manifolds
We study the smooth approximation of Lipschitz functions on Finsler manifolds, keeping control on the corresponding Lipschitz constants. We prove that, given a Lipschitz function f:M→ℝ defined on a connected, second countable Finsler manifold M, for each
M. I. Garrido +2 more
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Some Regularity Properties on Bolza problems in the Calculus of Variations
The paper summarizes the main core of the last results that we obtained in [8, 4, 17] on the regularity of the value function for a Bolza problem of a one-dimensional, vectorial problem of the calculus of variations. We are concerned with a nonautonomous
Bernis, Julien +2 more
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McShane-Whitney extensions in constructive analysis [PDF]
Within Bishop-style constructive mathematics we study the classical McShane-Whitney theorem on the extendability of real-valued Lipschitz functions defined on a subset of a metric space.
Iosif Petrakis
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