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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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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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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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A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces
Journal of New Theory, 2023 This paper contains the equivalence between tvs-G cone metric and G-metric using a scalarization function $\zeta_p$, defined over a locally convex Hausdorff topological vector space. This function ensures that most studies on the existence and uniqueness
Tarapada Bag, Abhishikta Das
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Correspondences between convex geometry and complex geometry [PDF]
Épijournal de Géométrie Algébrique, 2017 We present several analogies between convex geometry and the theory of holomorphic line bundles on smooth projective varieties or K\"ahler manifolds. We study the relation between positive products and mixed volumes.
Brian Lehmann, Jian Xiao
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Journal 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
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A convex-relaxation based method for optimal water-power flow
Energy Reports, 2022 This paper proposes a convex reformulation for the non-linear optimal water-power flow (OWPF) problem to optimize the operation cost of the integrated electricity–water network (IEWN).
Xinyi Li +4 more
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Journal of Inequalities and Applications, 2020 The convex nonlinear second-order cone programming with linear constraints is equivalent to a separate structure convex programming. A prediction-correction inexact alternating direction method is proposed for the separate structure convex programming ...
Yaling Zhang, Hongwei Liu
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International Journal of Lightweight Materials and Manufacture, 2021 When a circular tube is under axial compression, it can be developed into specific forming technologies (e.g., tube inversion). However buckling failure is prone to occurring and seriously restricts the successful realization of the forming process or ...
Zhi-chao Sun +4 more
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