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Bornological Completion of Locally Convex Cones [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, firstly, we obtain some new results about bornological convergence in locally convex cones (which was studied in [1]) and then we introduce the concept of bornological completion for locally convex cones. Also, we prove that the completion
Davood Ayaseh, Asghar Ranjbari
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Special 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.
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Bornological Locally Convex Cones
Le Matematiche, 2014 In this paper we define bornological and b-bornological cones and investigate their properties. We give some characterization for these cones. In the special case of locally convex topological vector space both these concepts reduce to the known concept
Davood Ayaseh, Asghar Ranjbari
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A note on product topologies in locally convex cones [PDF]
Journal of Mahani Mathematical Research, 2022 We consider the locally convex product cone topologies and prove that the product topologyof weakly cone-complete locally convex cones is weakly cone-complete.
Mohammad Reza Motallebi
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Higher order symmetric duality for multiobjective fractional programming problems over cones [PDF]
Yugoslav Journal of Operations Research, 2022 This article studies a pair of higher order nondifferentiable symmetric fractional programming problem over cones. First, higher order cone convex function is introduced.
Kaur Arshpreet, Sharma Mahesh Kumar
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Symmetric duality in complex spaces over cones [PDF]
Yugoslav Journal of Operations Research, 2021 Duality theory plays an important role in optimization theory. It has been extensively used for many theoretical and computational problems in mathematical programming.
Ahmad Izhar +2 more
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$Star^1$-convex functions on tropical linear spaces of complete graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Given a fan $\Delta$ and a cone $\sigma \in \Delta$ let $star^1(\sigma )$ be the set of cones that contain $\sigma$ and are one dimension bigger than $\sigma$ . In this paper we study two cones of piecewise linear functions defined on $\delta$ : the cone
Laura Escobar
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On the sufficiency of K-positivity for truncated compactly supported generalized moment problems
Examples and Counterexamples, 2021 Given a compact set K and a finite set of continuous basis functions, the truncated generalized K-moment problem asks for a characterization of all sequences that can be obtained as moments, with respect to the basis functions, of some nonnegative ...
Axel Ringh
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On the polyhedral cones of convex and concave vectors [PDF]
, 2013 Convex or concave sequences of n positive terms, viewed as vectors in n-space, constitute convex cones with 2n − 2 and n extreme rays, respectively.
Foldes, Stephan, Major, Laszlo
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Explicit Formula of Koszul–Vinberg Characteristic Functions for a Wide Class of Regular Convex Cones
Entropy, 2016 The Koszul–Vinberg characteristic function plays a fundamental role in the theory of convex cones. We give an explicit description of the function and related integral formulas for a new class of convex cones, including homogeneous cones and cones ...
Hideyuki Ishi
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