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  1. An Introduction to the Notion of Natural Pseudo-distance in Topological Data Analysis

    The natural pseudo-distance \(d_G\) associated with a group...
    Conference paper 2021
  2. On a generalized notion of metrics

    In these notes we generalize the notion of a (pseudo) metric measuring the distance of two points, to a (pseudo) n -metric which assigns a value to a...

    Wolf-Jürgen Beyn in Aequationes mathematicae
    Article Open access 23 June 2024
  3. Distance-Based Regression Analysis for Measuring Associations

    Distance-based regression model, as a nonparametric multivariate method, has been widely used to detect the association between variations in a...

    Yuke Shi, Wei Zhang, ... Qizhai Li in Journal of Systems Science and Complexity
    Article 01 February 2023
  4. On the Solution of a Two-Sided Vector Equation in Tropical Algebra

    Abstract

    In the context of tropical mathematics, the problem of solving a vector equation with two given matrices and unknown vectors, each part of...

    Article 08 June 2023
  5. Existence in \(\alpha \) -Norm of \(\mu -\) Pseudo Almost Automorphic Mild Solutions for Mean Field Stochastic Evolution Equations

    In this work, we use the concept of \(\mu \) -square-mean...
    Mamadou Moustapha Mbaye, Amadou Diop, Moustapha Dieye in Nonlinear Analysis, Geometry and Applications
    Chapter 2024
  6. Invariant rectification of non-smooth planar curves

    We consider the problem of defining arc length for a plane curve invariant under a group action. Initially one partitions the curve and sums a...

    Article 12 August 2023
  7. Embedding Dimensions of Matrices Whose Entries are Indefinite Distances in the Pseudo-Euclidean Space

    A finite set of the Euclidean space is called an s -distance set provided that the number of Euclidean distances in the set is s . Determining the...

    Hiroshi Nozaki, Masashi Shinohara, Sho Suda in Bulletin of the Iranian Mathematical Society
    Article 04 January 2024
  8. On the effective Putinar’s Positivstellensatz and moment approximation

    We analyse the representation of positive polynomials in terms of Sums of Squares. We provide a quantitative version of Putinar’s Positivstellensatz...

    Lorenzo Baldi, Bernard Mourrain in Mathematical Programming
    Article 06 September 2022
  9. New Bregman projection methods for solving pseudo-monotone variational inequality problem

    In this work, we introduce two Bregman projection algorithms with self-adaptive stepsize for solving pseudo-monotone variational inequality problem...

    Pongsakorn Sunthrayuth, Lateef Olakunle Jolaoso, Prasit Cholamjiak in Journal of Applied Mathematics and Computing
    Article 21 June 2021
  10. Continuity of extensions of Lipschitz maps

    We establish the sharp rate of continuity of extensions of ℝ m -valued 1-Lipschitz maps from a subset A of ℝ n to a 1-Lipschitz maps on ℝ n . We consider...

    Krzysztof J. Ciosmak in Israel Journal of Mathematics
    Article 06 October 2021
  11. Towards a canonical divergence within information geometry

    In Riemannian geometry geodesics are integral curves of the Riemannian distance gradient. We extend this classical result to the framework of...

    Domenico Felice, Nihat Ay in Information Geometry
    Article 22 June 2021
  12. Topological Stability for Flows from a Gromov–Hausdorff Viewpoint

    In this paper we propose a definition of a distance between flows of possibly different metric spaces. This notion is then combined with the concept...

    Article 24 May 2021
  13. Convergence analysis for variational inequalities and fixed point problems in reflexive Banach spaces

    In this paper, using a Bregman distance technique, we introduce a new single projection process for approximating a common element in the set of...

    Lateef Olakunle Jolaoso, Yekini Shehu, Yeol Je Cho in Journal of Inequalities and Applications
    Article Open access 04 March 2021
  14. Norm Resolvent Convergence of Discretized Fourier Multipliers

    We prove norm estimates for the difference of resolvents of operators and their discrete counterparts, embedded into the continuum using biorthogonal...

    Horia Cornean, Henrik Garde, Arne Jensen in Journal of Fourier Analysis and Applications
    Article 09 August 2021
  15. Are delay-differential systems generically controllable?

    In this paper, we study controllability properties of time-invariant linear delay-differential (d-d) systems with a single delay in the pseudo-state....

    D. Hinrichsen, E. Oeljeklaus in Mathematics of Control, Signals, and Systems
    Article 12 November 2022
  16. A Dynamical System for Strongly Pseudo-monotone Equilibrium Problems

    In this paper, we consider a dynamical system for solving equilibrium problems in the framework of Hilbert spaces. First, we prove that under strong...

    Phan Tu Vuong, Jean Jacques Strodiot in Journal of Optimization Theory and Applications
    Article Open access 20 May 2020
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