Results 51 to 60 of about 1,401 (73)

Hyperbolic Metric Spaces and Stochastic Embeddings

Forum of Mathematics, Sigma
Stochastic embeddings of finite metric spaces into graph-theoretic trees have proven to be a vital tool for constructing approximation algorithms in theoretical computer science.
Chris Gartland
doaj   +1 more source

Notes on Knaster-Tarski Theorem versus Monotone Nonexpansive Mappings

Moroccan Journal of Pure and Applied Analysis, 2018
The purpose of this note is to discuss the recent paper of Espínola and Wiśnicki about the fixed point theory of monotone nonexpansive mappings. In their work, it is claimed that most of the fixed point results of this class of mappings boil down to the ...
Khamsi Mohamed Amine
doaj   +1 more source

New contributions to best proximity theory using proximal projection operators in hyperbolic metric spaces

Demonstratio Mathematica
Let (E, F) be a nonempty pair subsets of a metric space (M, d) and let T:E∪F→E∪F $\mathcal{T} : E\cup F\to E\cup F$ be a noncyclic mapping, means that, T(E)⊆E,T(F)⊆F $\mathcal{T}\left(E\right)\subseteq E,\mathcal{T}\left(F\right)\subseteq F$ .
Gabeleh Moosa, Patle Pradip R., Aphane Maggei   +2 more
doaj   +1 more source

The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]

Calc Var Partial Differ Equ, 2023
Sodini GE.
europepmc   +1 more source

Farthest point problem and M-compact sets

, 2016
In this paper we give an elementary proof of the fact that every uniquely remotal set is singleton in a finite dimensional strictly convex normed linear space.
Paul, K., Ray, A., Sain, D.
core  

Haar null closed and convex sets in separable Banach spaces. [PDF]

Bull Lond Math Soc, 2023
Ravasini D.
europepmc   +1 more source

A geometrical constant and normal normal structure in Banach Spaces

Journal of Inequalities and Applications, 2011
Recently, we introduced a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus such as JX , p (t). In this paper, We can compute the constant JX , p (1) under the absolute normalized norms on ℝ2 by means of ...
Zuo Zhanfei
doaj  

On weakly extremal structures in Banach spaces

, 2007
This paper deals with the interplay of the geometry of the norm and the weak topology in Banach spaces. Both dual and intrinsic connections between weak forms of rotundity and smoothness ared discussed.
Talponen, J.
core   +4 more sources

Remark on the Daugavet property for complex Banach spaces

Demonstratio Mathematica
In this article, we study the Daugavet property and the diametral diameter two properties (DD2Ps) in complex Banach spaces. The characterizations for both Daugavet and Δ\Delta -points are revisited in the context of complex Banach spaces. We also provide
Lee Han Ju, Tag Hyung-Joon
doaj   +1 more source

Homogeneity of isosceles orthogonality and related inequalities

Journal of Inequalities and Applications, 2011
We study the homogeneity of isosceles orthogonality, which is one of the most important orthogonality types in normed linear spaces, from two viewpoints.
Wu Senlin, Hao Cuixia
doaj