Results 11 to 20 of about 5,105,361 (177)
Multivariate functional data clustering using adaptive density peak detection
Statistics in Medicine, Volume 42, Issue 10, Page 1565-1582, 10 May 2023., 2023 Clustering for multivariate functional data is a challenging problem since the data are represented by a set of curves and functions belonging to an infinite‐dimensional space.
Rui Ren +3 more
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Coupled Fixed Point Theory in Subordinate Semimetric Spaces
SymmetryThe aim of this paper is to study the coupled fixed point of a class of mixed monotone operators in the setting of a subordinate semimetric space. Using the symmetry between the subordinate semimetric space and a JS-space, we generalize the results of ...
Areej Alharbi +2 more
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Quasi-Contraction Maps in Subordinate Semimetric Spaces
AxiomsThroughout this study, we discuss the subordinate Pompeiu–Hausdorff metric (SPHM) in subordinate semimetric spaces. Moreover, we present a well-behaved quasi-contraction (WBQC) to solve quasi-contraction (QC) problems in subordinate semimetric spaces ...
Areej Alharbi +2 more
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On generalizations of some fixed point theorems in semimetric spaces with triangle functions
Frontiers in Applied Mathematics and StatisticsIn the present study, we prove generalizations of Banach, Kannan, Chatterjea, Ćirić-Reich-Rus fixed point theorems, as well as of the fixed point theorem for mapping contracting perimeters of triangles.
Evgeniy Petrov +2 more
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Journal of MathematicsWe establish three types of nonlinear fixed point theorems in regular semimetric spaces. First, we generalize Miculescu and Mihail’s result, thereby unifying the Matkowski fixed point theorem and the Istrăţescu fixed point theorem concerning convex contractions within the semimetric framework.
Shu-Min Lu, Peng Wang, Fei He
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Metricizing the Euclidean Space Toward Desired Distance Relations in Point Clouds [PDF]
IEEE Transactions on Information Forensics and Security, 2022 We introduce the concept of an $\varepsilon $ -semimetric that satisfies the same axioms as a topological metric, except for an arbitrarily small allowance to violate the triangle inequality.
S. Rass +3 more
semanticscholar +1 more source
Ultrametrics and Complete Multipartite Graphs
Theory and Applications of Graphs, 2022 Let \((X, d)\) be a semimetric space and let \(G\) be a graph. We say that \(G\) is the diametrical graph of \((X, d)\) if \(X\) is the vertex set of \(G\) and the adjacency of vertices \(x\) and \(y\) is equivalent to the equality \(\diam X = d(x, y)\).
Viktoriia Viktorivna Bilet +2 more
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On Functions Preserving Products of Certain Classes of Semimetric Spaces [PDF]
Tatra Mountains Mathematical Publications, 2021 Abstract In the paper, we continue the research of Borsík and Doboš on functions which allow us to introduce a metric to the product of metric spaces. We extend their scope to a broader class of spaces which usually fail to satisfy the triangle inequality, albeit they tend to satisfy some weaker form of this axiom.
Lichman, Mateusz +2 more
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A remark on Secelean–Wardowski’s fixed point theorems
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 In this paper we give a simple proof of three fixed point theorems of Secelean and Wardowski by using the fixed point result of Jachymski et al. Our result is established with weaker assumptions than the three theorems.
Satit Saejung, Pinya Ardsalee
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Common fixed point theorems for compatible self-maps of Hausdorff topological spaces
Fixed Point Theory and Applications, 2005 The concept of proper orbits of a map g is introduced and results of the following type are obtained. If a continuous self-map g of a Hausdorff topological space X has relatively compact proper orbits, then g has a fixed point.
Gerald F. Jungck
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