Results 11 to 20 of about 153 (127)

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
exaly   +4 more sources

Coupled Fixed Point Theory in Subordinate Semimetric Spaces

Symmetry
The 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 Alsulami
exaly   +2 more sources

Fixed point theorems for weak, partial, Bianchini, and Chatterjea–Bianchini contractions in semimetric spaces with triangle functions

Journal of Mathematical Sciences
This 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, Bisht Ravindra K
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, Oleksiy Dovgoshey, Yuriy Nikitovich Kononov   +2 more
doaj   +1 more source

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, Nowakowski, Piotr, Tcroboś, Filip   +2 more
openaire   +5 more sources

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.
openaire   +2 more sources

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, Ali Laksaci, Saâdia Rahmani, Rachida Rouane   +3 more
doaj   +1 more source

Generalized fractals in semimetric spaces

Nonlinear Analysis, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bessenyei, Mihály, Pénzes, Evelin
openaire   +2 more sources

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
doaj   +1 more source

On quasisymmetric mappings in semimetric spaces

Annales Fennici Mathematici, 2022
The class of quasisymmetric mappings on the real axis was first introduced by Beurling and Ahlfors in 1956. In 1980 Tukia and Väisälä considered these mappings between general metric spaces. In our paper we generalize the concept of a quasisymmetric mapping to the case of general semimetric spaces and study some properties of these mappings.
Petrov, Evgeniy, Salimov, Ruslan
openaire   +3 more sources