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  1. Existence of Solutions of Bifunction-Set Optimization Problems in Metric Spaces

    Sufficient conditions are given for the existence of solutions of bifunction-set optimization problems, whose underlying sets are complete metric...

    Pham Huu Sach, Le Anh Tuan in Journal of Optimization Theory and Applications
    Article 02 November 2021
  2. Fixed point theorems for metric tower map**s in complete metric spaces

    The purpose of this paper is to define new class of nonlinear map**s in metric spaces, called the metric tower map**s. We prove the existence of...

    Godwin Amechi Okeke, Daniel Francis in The Journal of Analysis
    Article 06 October 2023
  3. Fixed Point Theorems in Orthogonal F-Metric Spaces

    F-metric spaces are defined as a generalization of metric spaces with properties of nonnegativity, self-distance, symmetry and generalized triangular...
    Conference paper 2024
  4. Generic linear convergence through metric subregularity in a variable-metric extension of the proximal point algorithm

    The proximal point algorithm finds a zero of a maximal monotone map** by iterations in which the map** is made strongly monotone by the addition...

    Article 25 May 2023
  5. Sufficiency of weighted jets using Paunescu’s singular metric

    In this work we consider the Paunescu’s singular metric in the source to investigate the bi-Lipschitz and differential sufficiency in the set of...

    João Carlos Ferreira Costa, Marcelo José Saia, Carlos Humberto Soares Junior in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
    Article 05 February 2024
  6. Metric Spaces

    A metric structure on a (nonempty) set is a manifestation of the fundamental concept of a distance function, as introduced earlier in Chap....
    Atul Kumar Razdan, V. Ravichandran in Fundamentals of Analysis with Applications
    Chapter 2022
  7. Metric Mean Dimension of Free Semigroup Actions for Non-Compact Sets

    In this paper, we introduce the notions of upper metric mean dimension, u -upper metric mean dimension, l -upper metric mean dimension of free...

    Yanjie Tang, **aojiang Ye, Dongkui Ma in Journal of Dynamical and Control Systems
    Article 14 May 2024
  8. Metric Spaces

    The notion of the metric can be considered as a generalization of two point distance that was contrived systematically first by Euclid. In the modern...
    Erdal Karapınar, Ravi P. Agarwal in Fixed Point Theory in Generalized Metric Spaces
    Chapter 2022
  9. Boundary metric of Epstein-Penner convex hull and discrete conformality

    The Epstein-Penner convex hull construction associates to every decorated punctured hyperbolic surface a convex set in the Minkowski space. It works...

    **n Nie in Geometriae Dedicata
    Article 03 April 2024
  10. Some set-valued and multi-valued contraction results in fuzzy cone metric spaces

    This paper aims to present the concept of multi-valued map**s in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and...

    Saif Ur Rehman, Hassen Aydi, ... Sami Ullah Khan in Journal of Inequalities and Applications
    Article Open access 23 June 2021
  11. The Forcing Metric Dimension of a Total Graph of Nonzero Annihilating Ideals

    Let R be a commutative ring with identity, which is not an integral domain. An ideal I of a ring R is called an annihilating ideal if there exists r ...

    Article 08 November 2023
  12. Distances Between Immersed Graphs: Metric Properties

    Graphs in metric spaces appear in a wide range of data sets, and there is a large body of work focused on comparing, matching, or analyzing...

    Maike Buchin, Erin Chambers, ... Carola Wenk in La Matematica
    Article Open access 04 January 2023
  13. Tameness in generalized metric structures

    We broaden the framework of metric abstract elementary classes (mAECs) in several essential ways, chiefly by allowing the metric to take values in a...

    Michael Lieberman, Jiří Rosický, Pedro Zambrano in Archive for Mathematical Logic
    Article 22 October 2022
  14. Orthogonal neutrosophic 2-metric spaces

    In this study, we introduce the notion of an orthogonal neutrosophic 2-metric space and prove the common fixed-point theorem on an orthogonal...

    Gopinath Janardhanan, Gunaseelan Mani, ... Reny George in Journal of Inequalities and Applications
    Article Open access 11 September 2023
  15. 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...

    Anas A. Hijab, Laith K. Shaakir, ... Nabil Mlaiki in Boundary Value Problems
    Article Open access 22 May 2024
  16. Topological and metric properties of spaces of generalized persistence diagrams

    Motivated by persistent homology and topological data analysis, we consider formal sums on a metric space with a distinguished subset. These formal...

    Peter Bubenik, Iryna Hartsock in Journal of Applied and Computational Topology
    Article 23 January 2024
  17. Metric convolution and frames

    The fractal convolution of two map**s is a binary operation in some space of functions. In previous papers we extracted the main properties of this...

    R. Pasupathi, M. A. Navascués, ... R. N. Mohapatra in Periodica Mathematica Hungarica
    Article 16 September 2023
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