Results 241 to 250 of about 43,460 (287)

Tangent Cones and Convexity

Canadian Mathematical Bulletin, 1976
The study of general multiplier theorems (Kuhn-Tucker Conditions) for constrained optimization problems has led to extensions of the notion of a differentiable arc. Abadie [1], Varaiya [10], Guignard [5], Zlobec [11] and Massam [12] investigated the so called cone of tangent vectors to a point in a set for optimization purposes.
Borwein, J., O'Brien, R.
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Rough convex cones and rough convex fuzzy cones

Soft Computing, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liao, Zuhua, Zhou, Juan
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On Cone-Efficiency, Cone-Convexity and Cone-Compactness

SIAM Journal on Applied Mathematics, 1978
The properties of efficient (admissible) points of subsets of $R^n $ are discussed in the case when the space is ordered by a convex cone. It is demonstrated that the notion of cone-compactness (a generalization of compactness) is sufficient to guarantee the existence of an efficient point.
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Solidity indices for convex cones

Positivity, 2011
The issue addressed in this work is how to measure the degree of solidity of a closed convex cone in the Euclidean space R n. One compares and establishes all sort of relations between the metric, the volumetric, and the Frobenius solidity indices.
Gourion, Daniel, Seeger, Alberto
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On uniqueness cones, velocity cones andP-convexity

Annali di Matematica Pura ed Applicata, 1973
Viene studiata l'unicita nel problema di Cauchy quando i coefficienti sono analitici. Il metodo e basato sull'uso dei coni di unicita. Un cono di unicita e il cono duale di un cono convesso e aperto di direzioni non-caratteristiche in un semi-spazio.
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Canonical Barriers on Convex Cones

Mathematics of Operations Research, 2014
On the interior of a regular convex cone K in n-dimensional real space there exist two canonical Hessian metrics, the one generated by the logarithm of the characteristic function, and the Cheng-Yau metric. The former is associated with a self-concordant logarithmically homogeneous barrier on K, the universal barrier.
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Distances on convex cones

1983
Distances on Convex ...
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Bornological Convergence in Locally Convex Cones

Mediterranean Journal of Mathematics, 2015
La notion de cône (la multiplication y est associative, mais non nécessairement commutative) localement convexe est bien connue comme celle de partie d'un espace vectoriel de même nature. On adapte sur un tel cône une structure bornologique classique, dont les AA. développent toutes les caractérisques. -- On regrettera l'absence d'exemples.
Ayaseh, Davood, Ranjbari, Asghar
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Transposition Theorems for Cone-Convex Functions

SIAM Journal on Applied Mathematics, 1973
Some transposition theorems for real convex functions on real finite-dimensional spaces, with inequality ordering, are extended to convex functions mapping real Banach spaces into Banach spaces, with partial orderings and convexity defined by closed convex cones.Applications to optimization and optimal control are discussed.
Craven, B. D., Mond, B.
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Inclusion Relations of Gårding’s Cones and k-Convex Cones

Bulletin of the Malaysian Mathematical Sciences Society, 2018
The authors prove different properties of Gårding's cones defined as \(\Gamma_{k}=\{\lambda \in \mathbb{R}^{n}\mid S_{j}(\lambda)>0\), \(1\leq j\leq k\}\), for \(k=1,\dots ,n\), \(\lambda =(\lambda_{1},\dots\lambda_{n})\), where \(S_{j}(\lambda)\) is the \(j\)th-order elementary symmetric polynomial given by \(S_{j}(\lambda)=\sum_{i_1,\dots,i_j}\prod_ ...
Gang Li, Saihua Cui, Feida Jiang
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