Conditions for Bounded Closed and Convex Sets to Have a Unique Completion in Banach Spaces by JI Dong-hai, GAO Yue-jie

Subjects: “…( K; u) -completeness; completion of sets; bounded closed and convex sets…”

Enumerating the digitally convex sets of powers of cycles and Cartesian products of paths and complete graphs by MacKenzie Carr, Christina M. Mynhardt, Ortrud R. Oellermann

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Remarks on Separation of Convex Sets, Fixed-Point Theorem, and Applications in Theory of Linear Operators by Kamal N. Soltanov

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Splines in convex sets under constraints of two‐sided inequality type in a hyperplane by Svetlana Asmuss

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Non-asymptotic bounds for modified tamed unadjusted Langevin algorithm in non-convex setting by Ng, Matthew Cheng En

“…In this paper, we propose a novel taming factor and derive, under a non-convex setting, non-asymptotic theoretical bounds in Wasserstein-1 and Wasserstein-2 distances between the law of our algorithm, which we name the modified Tamed Unadjusted Langevin Algorithm (mTULA), and the target distribution $\pi_\beta$. …”
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Known Results and Open Problems in Hypercomplex Convexity by Zelinskii Yuri

Subjects: “…convex set…”
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Faces and Renormings of <i>ℓ</i>₁ by Juan Carlos Navarro-Pascual, Antonio Zarauz-Moreno

Subjects: “…convex set…”
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The completeness of a normed space is equivalent to the homogeneity of its space of closed bounded convex sets by I. Hetman

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Characterization of Positive Invariance of Quadratic Convex Sets for Discrete-Time Systems Using Optimization Approaches by Yuyao Lei, Hongli Yang, Ivan Ganchev Ivanov

“…For example, the ellipsoidal and the Lorenz cone, which are quadratic convex sets, have different properties from a polyhedral set. …”
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The completeness of a normed space is equivalent to the homogeneity of its space of closed bounded convex sets by I. Hetman

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Convex set reconstruction from support line measurements and its application to laser radar data by Lele, Avinash Shreedhar

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Estimation algorithms for reconstructing a convex set given noisy measurments of its support lines

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Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane by Massimiliano Ferrara, Gafurjan I. Ibragimov, Mehdi Salimi

“…It is assumed that the pursuers and evader move is allowed within a non empty closed convex set in the plane. Control functions of players are subject to coordinate-wise integral constraints. …”
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Pursuit-evasion game of many players with coordinate-wise integral constraints on a convex set in the plane by Ferrara, Massimiliano, Gafurjan, Ibragimov, Salimi, Mehdi

“…It is assumed that the pursuers and evader move is allowed within a non empty closed convex set in the plane. Control functions of players are subject to coordinate-wise integral constraints. …”

Asymptotic properties of the (convex) hyperspaces by Mykhailo Zarichnyi, Mykhailo Romanskyi

Subjects: “…hyperspace, convex set, coarse equivalence…”
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Signorini-Type Problems over Non-Convex Sets for Composite Bodies Contacting by Sharp Edges of Rigid Inclusions by Nyurgun P. Lazarev, Victor A. Kovtunenko

“…The solvability of the corresponding boundary value problems is proved, based on analysis of auxiliary minimization problems formulated over convex sets. Qualitative properties of the auxiliary variational problems are revealed; in particular, we have found their equivalent differential formulations. …”
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A New <i>gH</i>-Difference for Multi-Dimensional Convex Sets and Convex Fuzzy Sets by Luciano Stefanini, Barnabas Bede

Subjects: “…convex set-valued gH-difference…”
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Entropy-Based Convex Set Optimization for Spatial&#x2013;Spectral Endmember Extraction From Hyperspectral Images by Dharambhai Shah, Tanish Zaveri, Yogesh N. Trivedi, Antonio Plaza

Subjects: “…Convex set optimization…”
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Convex set estimation from support line measurements and applications to target reconstruction from laser radar data

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Pursuit differential game problem with multiple players on a closed convex set with more general integral constraints by Ahmed, Idris, Kumam, Wiyada, Ibragimov, Gafurjan, Rilwan, Jewaidu