Zobrazeno 1 - 10
of 345
pro vyhledávání: '"54E50"'
Autor:
Keith, Jonathan M.
Upper asymptotic density induces a pseudometric on the power set of the natural numbers, with respect to which $P(\mathbb{N})$ is complete. The collection $D$ of sets with asymptotic density is closed in this pseudometric, and closed subsets of $D$ a
Externí odkaz:
http://arxiv.org/abs/2410.06559
We conjecture that whenever $M$ is a metric space of density at most continuum, then the space of Lipschitz functions is $w^*$-separable. We prove the conjecture for several classes of metric spaces including all the Banach spaces with a projectional
Externí odkaz:
http://arxiv.org/abs/2406.03982
Publikováno v:
Fixed Point Theory 2024
We are concerned with the study of fixed points for mappings $T: X\to X$, where $(X,G)$ is a $G$-metric space in the sense of Mustafa and Sims. After the publication of the paper [Journal of Nonlinear and Convex Analysis. 7(2) (2006) 289--297] by Mus
Externí odkaz:
http://arxiv.org/abs/2405.11648
A metric space $X$ is {\em injective} if every non-expanding map $f:B\to X$ defined on a subspace $B$ of a metric space $A$ can be extended to a non-expanding map $\bar f:A\to X$. We prove that a metric space $X$ is a Lipschitz image of an injective
Externí odkaz:
http://arxiv.org/abs/2405.01860
Let $\mathrm{Lip}_0(M)$ be the space of Lipschitz functions on a complete metric space $(M,d)$ that vanish at a point $0\in M$. We investigate its dual $\mathrm{Lip}_0(M)^*$ using the de Leeuw transform, which allows representing each functional on $
Externí odkaz:
http://arxiv.org/abs/2403.09546
Autor:
Kravchenko, A. S.
We consider the space $M(X)$ of separable measures on the Borel $\sigma$-algebra ${\cal B}(X)$ of a metric space $X$. The space $M(X)$ is furnished with the Kantorovich-Rubinshte\u{i}n metric known also as the ``Hutchinson distance''. We prove that $
Externí odkaz:
http://arxiv.org/abs/2402.13935
Autor:
Cobzaş, S.
Publikováno v:
\textbf{Mathematics} \textbf{2024}, 12, 471
Roughly speaking, Ekeland's Variational Principle (EkVP) (J. Math. Anal. Appl. 47 (1974), 324--353) asserts the existence of strict minima of some perturbed versions of lower semicontinuous functions defined on a complete metric space. Later, Pando G
Externí odkaz:
http://arxiv.org/abs/2402.06657
The aim of this paper is to characterize a fractal operator associated with multivariate fractal interpolation functions (FIFs) and study the several properties of this fractal operator. Further, with the help of this operator, we characterize a late
Externí odkaz:
http://arxiv.org/abs/2310.12276
Autor:
Ravasini, Davide
We consider a complete, unbounded, hyperbolic metric space $X$ and a concave, nonzero and nondecreasing function $\omega:[0,+\infty)\to[0,+\infty)$ with $\omega(0)=0$ and study the space $\mathcal{C}_\omega(X)$ of uniformly continous self-mappings on
Externí odkaz:
http://arxiv.org/abs/2308.15277
Autor:
Nazir, Talat, Silvestrov, Sergei
Using the setting of $G$-metric spaces, common fixed point theorems for four maps satisfying the weakly commuting conditions are obtained for various generalized contractive conditions. Several examples are also presented to show the validity of main
Externí odkaz:
http://arxiv.org/abs/2307.11265