Results 11 to 20 of about 981 (109)
Weak Similarities of Finite Ultrametric and Semimetric Spaces
P-Adic Numbers, Ultrametric Analysis, and Applications, 2018 14 pages, 2 figures.
Evgeniy Petrov
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Weak similarities of metric and semimetric spaces
Acta Mathematica Hungarica, 2013 23 pages, 1 ...
Oleksiy Dovgoshey, Evgeniy Petrov
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Applications of ball spaces theory: fixed point theorems in semimetric spaces and ball convergence
Journal of Fixed Point Theory and Applications, 2022 AbstractIn the paper, we apply some of the results from the theory of ball spaces in semimetric setting. This allows us to obtain fixed point theorems which we believe to be unknown to this day. As a byproduct, we obtain the equivalence of some different notions of completeness in semimetric spaces where the distance function is 1-continuous.
Piotr Nowakowski, Filip Turoboś
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Characterization of ∑-Semicompleteness via Caristi’s Fixed Point Theorem in Semimetric Spaces [PDF]
Journal of Function Spaces, 2018 Introducing the concept of ∑-semicompleteness in semimetric spaces, we extend Caristi’s fixed point theorem to ∑-semicomplete semimetric spaces. Via this extension, we characterize ∑-semicompleteness.
Tomonari Suzuki
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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 Senapati and Dey on JS-spaces.
Maha Noorwali, Hamed H Alsulami
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Journal of Mathematical SciencesThis paper advances a line of research in fixed point theory initiated by M. Bessenyei and Z. P\'ales, building on their introduction of the triangle function concept in [J. Nonlinear Convex Anal, Vol 18 (3), 515--524 (2017)]. By applying this concept, the study revises several well-known fixed point theorems in metric spaces, extending their ...
Bisht, Ravindra K., Petrov, Evgen O.
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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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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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Contingency Space: A Semimetric Space for Classification Evaluation
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2023 In Machine Learning, a supervised model's performance is measured using the evaluation metrics. In this study, we first present our motivation by revisiting the major limitations of these metrics, namely one-dimensionality, lack of context, lack of intuitiveness, uncomparability, binary restriction, and uncustomizability of metrics.
Azim Ahmadzadeh +3 more
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Axioms, 2022 Asymptotically coupled coincidence points and asymptotically coupled fixed points in fuzzy semi-metric spaces are studied in this paper. The fuzzy semi-metric space is taken into account, which lacks symmetric conditions.
Hsien-Chung Wu
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