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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...
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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...
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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... -
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...
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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...
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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.... -
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...
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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... -
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...
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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...
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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 ...
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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...
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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...
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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...
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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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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...
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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...