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Fredholm integral equation in composed-cone metric spaces
The current paper introduces a novel generalization of cone metric spaces called type I and type II composed cone metric spaces. Therefore, examples...
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Common fixed point theorems on quasi-cone metric space over a divisible Banach algebra
In this manuscript, we investigate the existence and uniqueness of a common fixed point for the self-map**s defined on quasi-cone metric space over...
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Existence of Quadruple Fixed Point Results in Ordered K-Metric Space Through C-Distance with Application in Integral Equation
In 2011, Berinde and Borcut [9] proved tripled coincidence point theorems in partially ordered metric spaces. In this article, we extend the result...
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Existence and Uniqueness Results of Second Order Summation–Difference Equations in Cone Metric Space
In this paper, we investigate the existence and uniqueness results for summation–difference type equations in cone metric spaces. The results are...
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The Covariance Metric in the Blaschke Locus
We prove that the Blaschke locus has the structure of a finite dimensional smooth manifold away from the Teichmüller space and study its Riemannian...
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Essential skeletons of pairs and Temkin’s metric
We study weight metrics and essential skeletons of pairs in the Berkovich analytification of a variety over a trivially-valued field of...
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A Machine Learning Framework for Geodesics Under Spherical Wasserstein–Fisher–Rao Metric and Its Application for Weighted Sample Generation
Wasserstein–Fisher–Rao (WFR) distance is a family of metrics to gauge the discrepancy of two Radon measures, which takes into account both...
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Weighted boundary limits of the Kobayashi--Fuks metric on h-extendible domains
We study the boundary behavior of the Kobayashi--Fuks metric on the class of h-extendible domains. Here, we derive the nontangential boundary...
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Null Hypersurfaces and the Rigged Metric
Given a null hypersurface in a Lorentzian manifold we can construct a Riemannian metric on it called the rigged metric. This is not a canonical...
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Subdifferentials of optimal value functions under metric qualification conditions
In this paper, by revisiting intersection rules for normal cones, we give formulas for estimating or computing the...
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Identifiability, the KL Property in Metric Spaces, and Subgradient Curves
Identifiability, and the closely related idea of partial smoothness, unify classical active set methods and more general notions of solution...
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The Radius of Metric Regularity Revisited
The paper extends the radius of metric regularity theorem by Dontchev, Lewis and Rockafellar (2003) by providing an exact formula for the radius with...
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Openness of uniformly valuative stability on the Kähler cone of projective manifolds
Assume that a projective variety is uniformly valuatively stable with respect to a polarization. We show that the projective variety is uniformly...
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DC semidefinite programming and cone constrained DC optimization II: local search methods
The second part of our study is devoted to a detailed convergence analysis of two extensions of the well-known DCA method for solving DC (Difference...
