Results 51 to 60 of about 1,382 (80)

Approximately bisectrix-orthogonality preserving mappings

, 2014
Regarding the geometry of a real normed space ${\mathcal X}$, we mainly introduce a notion of approximate bisectrix-orthogonality on vectors $x, y \in {\mathcal X}$ as follows: $${x\np{\varepsilon}}_W y \mbox{if and only if} \sqrt{2}\frac{1-\varepsilon ...
Zamani, Ali
core   +1 more source

The diameter of the Birkhoff polytope

Special Matrices
The geometry of the compact convex set of all n×nn\times n doubly stochastic matrices, a structure frequently referred to as the Birkhoff polytope, has been an active subject of research as of late.
Bouthat Ludovick, Mashreghi Javad, Morneau-Guérin Frédéric   +2 more
doaj   +1 more source

On Various Types of Uniform Rotundities

Annales Mathematicae Silesianae
In this study, we conduct a literature review on normed linear spaces whose strengths are between rotundity and uniform rotundity. In this discourse, we also explore inter-relationships and juxtapositions between the subjects under consideration.
Narang Tulsi Dass, Chandok Sumit, Gupta Sahil   +2 more
doaj   +1 more source

Noncyclic Meir-Keeler contractions and best proximity pair theorems

Demonstratio Mathematica, 2018
In this article, we consider the class of noncyclic Meir-Keeler contractions and study the existence and convergence of best proximity pairs for such mappings in the setting of complete CAT(0) spaces.
Gabeleh Moosa, Markin Jack
doaj   +1 more source

Plus-Minus Property as a Generalization of the Daugavet Property [PDF]

, 2010
2000 Mathematics Subject Classification: Primary 46B20. Secondary 47A99, 46B42.It was shown in [2] that the most natural equalities valid for every rank-one operator T in real Banach spaces lead either to the Daugavet equation ||I+T|| = 1 + ||T|| or to ...
Shepelska, Varvara
core  

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

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

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

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