Results 21 to 30 of about 102,980 (281)

Isoperimetric Inequalities for Convex Cones [PDF]

Proceedings of the American Mathematical Society, 1990
We present here an isoperimetric inequality for sets contained in a convex cone. Some applications to symmetrization problems and Sobolev inequalities are also indicated.
LIONS P. L., PACELLA, Filomena
openaire   +3 more sources

Sufficiency and duality of set-valued fractional programming problems via second-order contingent epiderivative [PDF]

Yugoslav Journal of Operations Research, 2022
In this paper, we establish second-order sufficient KKT optimality conditions of a set-valued fractional programming problem under second-order generalized cone convexity assumptions.
Das Koushik
doaj   +1 more source

A cone-theoretic barycenter existence theorem [PDF]

Logical Methods in Computer Science
We show that every continuous valuation on a locally convex, locally convex-compact, sober topological cone $\mathfrak{C}$ has a barycenter. This barycenter is unique, and the barycenter map $\beta$ is continuous, hence is the structure map of a $\mathbf
Jean Goubault-Larrecq, Xiaodong Jia
doaj   +1 more source

Some properties of set-valued sine families [PDF]

Opuscula Mathematica, 2012
Let \(\{F_t : t \geq 0\}\) be a family of continuous additive set-valued functions defined on a convex cone \(K\) in a normed linear space \(X\) with nonempty convex compact values in \(X\). It is shown that (under some assumptions) a regular sine family
Ewelina Mainka-Niemczyk
doaj   +1 more source

Characterization of tropical hemispaces by (P,R)-decompositions [PDF]

, 2013
We consider tropical hemispaces, defined as tropically convex sets whose complements are also tropically convex, and tropical semispaces, defined as maximal tropically convex sets not containing a given point.
Akian, Briec, Briec, Briec, Butkovič, Cohen, Cohen, Cohen, Cohen, Develin, Gaubert, Gaubert, Gaubert, Gaubert, Goberna, Joswig, Kolokoltsov, Lassak, Litvinov, Martinez-Legaz, Martínez-Legaz, Nitica, Nitica, Nitica, Ricardo D. Katz, Sergeev, Sergeĭ Sergeev, Singer, Van de Vel, Viorel Nitica, Zimmermann   +30 more
core   +5 more sources

The Computational Complexity of Duality

, 2016
We show that for any given norm ball or proper cone, weak membership in its dual ball or dual cone is polynomial-time reducible to weak membership in the given ball or cone.
Friedland, Shmuel, Lim, Lek-Heng
core   +1 more source

Extensions of convex functionals on convex cones [PDF]

Applicationes Mathematicae, 1998
Summary: We prove that under some topological assumptions (e.g. if \(M\) has nonempty interior in \(X\)), a convex cone \(M\) in a linear topological space \(X\) is a linear subspace if and only if each convex functional on \(M\) has a convex extension on the whole space \(X\).
Ignaczak, E., Paszkiewicz, A.
openaire   +2 more sources

A note on Gordan's theorem over cone domains

International Journal of Mathematics and Mathematical Sciences, 1982
This note presents a proof of Gordan's Theorem over general closed, convex cone domains which follows in a natural way appealing to the standard definitions of closed convex cones and their respective polar cones.
Brad Skarpness, V. A. Sposito
doaj   +1 more source

Cone asymptotes of convex sets

Extracta Mathematicae, 2020
Based on the notion of plane asymptote, we introduce the new concept of cone asymptote of a set in the n-dimensional Euclidean space. We discuss the existence and describe some families of cone asymptotes.
V. Soltan
doaj  

Inference Under Convex Cone Alternatives for Correlated Data [PDF]

, 2006
In this research, inferential theory for hypothesis testing under general convex cone alternatives for correlated data is developed. While there exists extensive theory for hypothesis testing under smooth cone alternatives with independent observations ...
Pilla, Ramani S.
core   +1 more source