Results 21 to 30 of about 3,836,386 (143)
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 ...
Ravindra K Bisht
exaly +3 more sources
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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Local linear modelling of the conditional distribution function for functional ergodic data
Mathematical Modelling and Analysis, 2022 The focus of functional data analysis has been mostly on independent functional observations. It is therefore hoped that the present contribution will provide an informative account of a useful approach that merges the ideas of the ergodic theory and ...
Somia Ayad +3 more
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Completeness in semimetric spaces [PDF]
Pacific Journal of Mathematics, 1984 This interesting paper compares various forms of completeness in semimetric spaces in face of certain ''continuity properties'' of distance functions. Two such properties are developability: lim d(x\({}_ n,p)=\lim d(y_ n,p)=0\) implies lim d(x\({}_ n,y_ n)=0\), and 1- continuity: for any q, lim d(x\({}_ n,p)=0\) implies lim d(x\({}_ n,q)=d(p,q)\).
Galvin, Fred, Shore, S. D.
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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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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. In this article, we propose a novel clustering method for multivariate functional data using an adaptive density peak detection technique.
Rui Ren +3 more
wiley +1 more source
Stability of Set Differential Equations in Fréchet Spaces
Advances in Mathematical Physics, Volume 2023, Issue 1, 2023., 2023 In this paper, we investigate the stability of set differential equations in Fréchet space F. Some comparison principles and stability criteria are established for set differential equations with the fact that every Fréchet space F is a projective limit of Banach spaces.
Junyan Bao +3 more
wiley +1 more source
Forged Video Detection Using Deep Learning: A SLR
Applied Computational Intelligence and Soft Computing, Volume 2023, Issue 1, 2023., 2023 In today’s digital landscape, video and image data have emerged as pivotal and widely adopted means of communication. They serve not only as a ubiquitous mode of conveying information but also as indispensable evidential and substantiating elements across diverse domains, encompassing law enforcement, forensic investigations, media, and numerous others.
Maryam Munawar +4 more
wiley +1 more source