Results 21 to 30 of about 4,132 (306)

A note on Gordan's theorem over cone domains

open access: yesInternational 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

Mixed powerdomains for probability and nondeterminism [PDF]

open access: yesLogical Methods in Computer Science, 2017
We consider mixed powerdomains combining ordinary nondeterminism and probabilistic nondeterminism. We characterise them as free algebras for suitable (in)equation-al theories; we establish functional representation theorems; and we show equivalencies ...
Klaus Keimel, Gordon D. Plotkin
doaj   +1 more source

Covering functionals of cones and double cones

open access: yesJournal of Inequalities and Applications, 2018
The least positive number γ such that a convex body K can be covered by m translates of γK is called the covering functional of K (with respect to m), and it is denoted by Γm(K) $\Gamma_{m}(K)$.
Senlin Wu, Ke Xu
doaj   +1 more source

Homogeneous cones and abelian theorems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
This paper deals with analysis on homogeneous cones in ℝn. This subject has its origins in one-dimensional topics that are connected, often implicitely, with some group properties.
Tatjana Ostrogorski
doaj   +1 more source

A new kind of inner superefficient points

open access: yesJournal of Inequalities and Applications, 2017
In this paper, some properties of the interior of positive dual cones are discussed. With the help of dilating cones, a new notion of inner superefficient points for a set is introduced.
Yihong Xu, Lei Wang, Chunhui Shao
doaj   +1 more source

An inexact multiblock alternating direction method for grasping-force optimization of multifingered robotic hands

open access: yesJournal of Inequalities and Applications, 2023
In this paper, we present an inexact multiblock alternating direction method for the point-contact friction model of the force-optimization problem (FOP).
Yaling Zhang, Xuewen Mu
doaj   +1 more source

Moore-Penrose inverses of Gram matrices leaving a cone invariant in an indefinite inner product space

open access: yesSpecial Matrices, 2015
In this paper we characterize Moore-Penrose inverses of Gram matrices leaving a cone invariant in an indefinite inner product space using the indefinite matrix multiplication. This characterization includes the acuteness (or obtuseness) of certain closed
Appi Reddy K., Kurmayya T.
doaj   +1 more source

Denting points of convex sets and weak property (π) of cones in locally convex spaces [PDF]

open access: yes, 2021
In this paper we first extend from normed spaces to locally convex spaces some characterizations of denting points in convex sets. On the other hand, we also prove that in an infrabarreled locally convex space a point in a convex set is denting if and ...
Melguizo Padial, Miguel Ángel   +2 more
core   +1 more source

From Hahn–Banach Type Theorems to the Markov Moment Problem, Sandwich Theorems and Further Applications

open access: yesMathematics, 2020
The aim of this review paper is to recall known solutions for two Markov moment problems, which can be formulated as Hahn–Banach extension theorems, in order to emphasize their relationship with the following problems: (1) pointing out a previously ...
Octav Olteanu
doaj   +1 more source

Invariant cones in solvable Lie algebras

open access: yes, 1992
Poguntke D. Invariant cones in solvable Lie algebras. Mathematische Zeitschrift.
Poguntke, Detlev
core   +1 more source

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