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Metric Approximation of Set-Valued Functions of Bounded Variation by Integral Operators
We introduce an adaptation of integral approximation operators to set-valued functions (SVFs, multifunctions), map** a compact interval [ a , b ] into...
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Improved Information Set Decoding Algorithms over Galois Ring in the Lee Metric
The security of most code-based cryptosystems relies on the hardness of the syndrome decoding (SD) problem. The best solvers of the SD problem are...
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Coincidence and Fixed Points of Set-Valued Map**s Via Regularity in Metric Spaces
In this paper, we construct a common iterative scheme that allows to unify two important results established recently by Ioffe and Ait Mansour,...
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Metric Regularity for Set-Valued Maps in Fréchet-Montel Spaces. Implicit Map** Theorem
This paper is devoted to new derivative criterion of metric regularity for set-valued map from a Fréchet-Montel space to a Fréchet space. Such type...
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On metric stability of set-valued subadditive functions
In Shulman (J Funct Anal 263:1468–1484, Theorem 2.2) the author estimated the cardinality of the global image of a subadditive map from a group to an...
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Metric Characterizations of Projective-Metric Spaces
This chapter is concerned with the study of projective-metric spaces, that is, metrics on open subsets of projective space whose geodesics are the...
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Altering JS-Metric Space
In this paper, we introduce Altering JS-metric space and prove some results. We show that metric space, b-metric space, dislocated metric space, and...
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Turnpike Phenomenon in Metric Spaces
This book is devoted to the study of the turnpike phenomenon arising in optimal control theory. Special focus is placed on Turnpike results, in...
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Metric Spaces
Metric space is a set X together with a nonnegative real-valued function of X × X that defines the notion of “distance” between each pair of points...
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The Fisher metric as a metric on the cotangent bundle
The Fisher metric on a manifold of probability distributions is usually treated as a metric on the tangent bundle. In this paper, we focus on the...
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A Comprehensive Textbook on Metric Spaces
This textbook provides a comprehensive course in metric spaces. Presenting a smooth takeoff from basic real analysis to metric spaces, every chapter...
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Metric Spaces
Exploring the properties of real functions or sequences is just the beginning. A few answers lead to several questions. Can we extend our results...
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Supplement to “Metric Characterization of Projective-Metric Spaces”
This chapter is a supplement to the chapter “Metric Characterization of Projective-metric Spaces” and has no other goal than providing step-by-step...
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Fixed point results in soft probabilistic metric spaces
This research work introduces and explores the notion of soft probabilistic metric spaces, drawing from the principles of soft sets and classical...
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Metric Spaces A Companion to Analysis
This textbook presents the theory of Metric Spacesnecessary for studying analysis beyond one real variable. Rich in examples, exercises and...
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Fisher Type Set-valued Map**s in b-metric Spaces and an Application to Integral Inclusion
In this paper, we consider Fisher type set-valued map**s in a b-metric space and derive some fixed point results considering the Pompeiu-Hausdorff...
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New Topologies on Partial Metric Spaces and M-Metric Spaces
In this paper, we present new definitions for partial metric space(PMS) and M-metric space(MMS). We obtain some of its properties by presenting the...
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Generic Laplacian eigenfunctions on metric graphs
It is known that up to certain pathologies, a compact metric graph with standard vertex conditions has a Baire-generic set of choices of edge lengths...
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Sufficient Conditions for the Linear Convergence of an Algorithm for Finding the Metric Projection of a Point onto a Convex Compact Set
AbstractMany problems, for example, problems on the properties of the reachability set of a linear control system, are reduced to finding the...
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Point-Set Topology A Working Textbook
This textbook offers a hands-on introduction to general topology, a fundamental tool in mathematics and its applications. It provides solid...
