Zobrazeno 1 - 10
of 174
pro vyhledávání: '"46T99"'
Autor:
Fernández-Unzueta, Maite
Given a Banach space $X$ and $d\in \mathbb{N}$, we construct a metric space $\mathbb{V}_X^d$ with the property that every $d$-homogeneous polynomial defined on $X$ factors through a Lipschitz map on it. We prove that the metric on $\mathbb{V}_X^d$ is
Externí odkaz:
http://arxiv.org/abs/2412.10527
Autor:
Goubault-Larrecq, Jean
We relate the so-called powercone models of mixed non-deterministic and probabilistic choice proposed by Tix, Keimel, Plotkin, Mislove, Ouaknine, Worrell, Morgan, and McIver, to our own models of previsions. Under suitable topological assumptions, we
Externí odkaz:
http://arxiv.org/abs/2411.13500
We study the fundamental properties of pointwise semi-Lipschitz functions between asymmetric spaces, which are the natural asymmetric counterpart of pointwise Lipschitz functions. We also study the influence that partial symmetries of a given space m
Externí odkaz:
http://arxiv.org/abs/2407.17574
Autor:
Basset, Estelle
We show the existence of Lipschitz-free spaces verifying the Point of Continuity Property with arbitrarily high weak-fragmentability index. For this purpose, we use a generalized construction of the countably branching diamond graphs. As a consequenc
Externí odkaz:
http://arxiv.org/abs/2404.00174
Autor:
Paimsang Papinwich, Thianwan Tanakit
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 1088-1095 (2024)
This article aims to provide a modified Noor iterative scheme to approximate the fixed points of generalized nonexpansive mappings with property (EE) called MN-iteration. We establish the strong and weak convergence results in a uniformly convex Bana
Externí odkaz:
https://doaj.org/article/d8e2510e41ed45c0bbc767fd92e482e9
Autor:
Soltanov, Kamal N., Sert, Ugur
In this article, we study the properties of a class of functional spaces which arise from the investigation of nonlinear differential equations. We establish some integral inequalities then by applying these inequalities, we prove some lemmas and the
Externí odkaz:
http://arxiv.org/abs/2310.06478
Autor:
Becker, Roland, Braack, Malte
We provide a concise proof of existence for nonlinear operator equations in separable Banach spaces. Notably, the operator is not assumed to be monotone. Instead, our main hypotheses consist of a continuity assumption and a generalized coercivity pro
Externí odkaz:
http://arxiv.org/abs/2305.16783
Motivated by the developing mathematics of deep learning, we build universal functions approximators of continuous maps between arbitrary Polish metric spaces $\mathcal{X}$ and $\mathcal{Y}$ using elementary functions between Euclidean spaces as buil
Externí odkaz:
http://arxiv.org/abs/2304.12231
Autor:
Watcharaporn Cholamjiak, Shilpa Das
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 32, Iss 1 (2024)
This research studies variational inclusion problems, which is a branch of optimization. A modified projective forward-backward splitting algorithm is constructed to solve this problem. The algorithm adds the inertial technique for speeding up the co
Externí odkaz:
https://doaj.org/article/dd124b0ba35045beb677aad7e9f17e26
Autor:
Fernández-Unzueta, Maite
We give conditions that ensure that an operator satisfying a Piestch domination in a given setting also satisfies a Piestch domination in a different setting. From this we derive that a bounded mutlilinear operator $T$ is Lipschitz $p$-summing if and
Externí odkaz:
http://arxiv.org/abs/2204.01775