Results 201 to 210 of about 1,619,215 (233)

Quasi-support hyperplanes in asymmetric normed spaces

Computational and Applied Mathematics
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Jianrong Wu
exaly   +4 more sources

Weakly convex sets in asymmetric normed spaces

2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA), 2017
In this work we present different results for weakly convex sets is spaces with asymmetric seminorm. We present the theorem for the well-posedness of the closest points problem and the Separation Theorem for weakly and strongly convex sets w.r.t. a quasiball.
Mariana Lopushanski
exaly   +3 more sources

Best approximation in asymmetric normed linear spaces

International Conference on Information Science and Technology, 2011
In this paper we show that the set of right K-Lipschitz mappings from an asymmetric normed linear space (X,p) to another asymmetric normed linear space (Y,q), which vanish at a fixed point x 0 ∈ X can be endowed with the structure of an asymmetric normed cone.
Zhaoyuan Zhang
exaly   +3 more sources

Multilinear operators between asymmetric normed spaces

Colloquium Mathematicum, 2020
The authors prove some fundamental results for multilinear operators between asymmetric normed spaces (see [\textit{S. Cobzaş}, Functional analysis in asymmetric normed spaces. Basel: Birkhäuser (2013; Zbl 1266.46001)]). Among other results, they give criteria for the continuity of multilinear operators, Banach-Steinhaus type theorems, and a closed ...
Faiz Latreche, E. Dahia
semanticscholar   +3 more sources

Chebyshev sets composed of subspaces in asymmetric normed spaces

Izvestiya: Mathematics
By definition, a Chebyshev set is a set of existence and uniqueness, that is, any point has a unique best approximant from this set. We study properties of Chebyshev sets composed of finitely or infinitely many planes (closed affine subspaces, possibly ...
A. Alimov, I. G. Tsar'kov
semanticscholar   +3 more sources

Continuous operators on asymmetric normed spaces

Acta Mathematica Hungarica, 2008
For a real linear space, a function \(p:X\to \mathbb R^+\) is called an asymmetric norm on \(X\) if for all \(x,y\in X\) and \(r\in \mathbb R^+\), (i) \(p(x)=p(-x)=0\); (ii) \(p(rx)=rp(x)\); (iii) \(p(x+y)\leq p(x)+p(y)\). For an asymmetric norm \(p\) on \(X\), \(p^{-1}\), defined on \(X\) by \(p^{-1}(x)=p(-x)\) is also an asymmetric norm on \(X\); the
exaly   +3 more sources

THE EXISTENCE OF EXTREME POINTS OF COMPACT CONVEX SETS IN ASYMMETRIC CONE NORMED SPACES

Journal of Mathematical Analysis
Optimization has been one of the most popular applications in real-world problems from the past into the present. The concept of extreme points plays a vital role in optimization, and the existence of extreme points of compact convex subsets of a locally
Wasin Supakul, W. Sintunavarat
semanticscholar   +2 more sources