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Multiple Optimal Solutions and the Best Lipschitz Constants Between an Aggregation Function and Associated Idempotized Aggregation Function

open access: yesAxioms, 2021
This paper presents and compares the optimal solutions and the theoretical and empirical best Lipschitz constants between an aggregation function and associated idempotized aggregation function.
Hui-Chin Tang, Wei-Ting Chen
doaj   +1 more source

Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p-Adic Vector Space

open access: yesJournal of Mathematics, 2022
In this paper, we give characterization of a p-adic version of Lipschitz spaces in terms of the boundedness of commutators of maximal function in the context of the p-adic version of Lebesgue spaces and Morrey spaces, where the symbols of the commutators
Qianjun He, Xiang Li
doaj   +1 more source

Sharp function estimates and boundedness for Toeplitz-type operators associated with general fractional integral operators

open access: yesOpen Mathematics, 2021
In this paper, we establish some sharp maximal function estimates for certain Toeplitz-type operators associated with some fractional integral operators with general kernel.
Chen Dazhao, Huang Hui
doaj   +1 more source

Some estimates for commutators of sharp maximal function on the p-adic Lebesgue spaces

open access: yesOpen Mathematics, 2023
In this article, the main aim is to consider the boundedness of the nonlinear commutator of pp-adic sharp maximal operator ℳp♯{{\mathcal{ {\mathcal M} }}}_{p}^{\sharp } with symbols belonging to the pp-adic Lipschitz spaces in the context of the pp-adic ...
Wu Jianglong, Chang Yunpeng
doaj   +1 more source

An Implementation of Lipschitz Simple Functions in Computer Algebra System Singular

open access: yesComplexity, 2021
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
doaj   +1 more source

Some estimates for commutators of bilinear pseudo-differential operators

open access: yesOpen Mathematics, 2022
We obtain a class of commutators of bilinear pseudo-differential operators on products of Hardy spaces by applying the accurate estimates of the Hörmander class. And we also prove another version of these types of commutators on Herz-type spaces.
Yang Yanqi, Tao Shuangping
doaj   +1 more source

Nonlinear Volterra Integrodifferential Equations from above on Unbounded Time Scales

open access: yesMathematics, 2023
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
doaj   +1 more source

Optimal Lipschitz extensions

open access: yesITM Web of Conferences, 2018
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
doaj   +1 more source

Notes on Lipschitz Properties of Nonlinear Scalarization Functions with Applications

open access: yesAbstract and Applied Analysis, 2014
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
doaj   +1 more source

Optimality Conditions, Qualifications and Approximation Method for a Class of Non-Lipschitz Mathematical Programs with Switching Constraints

open access: yesMathematics, 2021
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
doaj   +1 more source

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