Results 1 to 10 of about 3,836,386 (143)

Quasi-Contraction Maps in Subordinate Semimetric Spaces

Axioms
Throughout 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, Hamed Alsulami, Maha Noorwali   +2 more
doaj   +6 more sources

On generalizations of some fixed point theorems in semimetric spaces with triangle functions [PDF]

Frontiers in Applied Mathematics and Statistics
In 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, Ruslan Salimov, Ravindra K. Bisht   +2 more
doaj   +7 more sources

Hutchinson’s theorem in semimetric spaces [PDF]

Journal of Fixed Point Theory and Applications, 2022
AbstractOne of the important consequences of the Banach fixed point theorem is Hutchinson’s theorem which states the existence and uniqueness of fractals in complete metric spaces. The aim of this paper is to extend this theorem for semimetric spaces using the results of Bessenyei and Páles published in 2017.
Zsolt Pales
exaly   +6 more sources

Subordinate Semimetric Spaces and Fixed Point Theorems

Journal of Mathematics, 2018
We introduce the concept of subordinate semimetric space. Such notion includes the concept of RS-space introduced by Roldán and Shahzad; therefore the concepts of Branciari’s generalized metric space and Jleli and Samet’s generalized metric space are ...
José Villa-Morales
doaj   +3 more sources

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.
Filip Turoboś, Piotr Nowakowski
exaly   +5 more sources

Two metrics on rooted unordered trees with labels [PDF]

Algorithms for Molecular Biology, 2022
Background The early development of a zygote can be mathematically described by a developmental tree. To compare developmental trees of different species, we need to define distances on trees.
Yue Wang
doaj   +2 more sources

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.
Rafal Angryk, Azim Ahmadzadeh, Dustin Kempton   +2 more
exaly   +4 more sources

Weak Similarities of Finite Ultrametric and Semimetric Spaces

P-Adic Numbers, Ultrametric Analysis, and Applications, 2018
14 pages, 2 figures.
Evgeniy Petrov
exaly   +4 more sources

Uniqueness of best proximity pairs and rigidity of semimetric spaces

Journal of Fixed Point Theory and Applications, 2022
32 pages, 10 ...
Ruslan Shanin, Oleksiy Dovgoshey
exaly   +4 more sources

Weak similarities of metric and semimetric spaces

Acta Mathematica Hungarica, 2013
23 pages, 1 ...
Evgeniy Petrov, Oleksiy Dovgoshey
exaly   +4 more sources