Results 1 to 10 of about 153 (127)

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   +4 more sources

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

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   +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

Fixed Point Results of Miculescu‐Mihail, Mitrović‐Hussain, and Boyd‐Wong Type in Regular Semimetric Spaces

Journal of Mathematics
We 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, Fei He
exaly   +3 more sources

Hutchinson’s theorem in semimetric spaces

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, Pales Zsolt
exaly   +5 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   +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.
Azim Ahmadzadeh, Dustin J Kempton, Petrus C Martens   +2 more
exaly   +3 more sources

Weak Similarities of Finite Ultrametric and Semimetric Spaces

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

Weak similarities of metric and semimetric spaces

Acta Mathematica Hungarica, 2013
23 pages, 1 ...
Oleksiy Dovgoshey, Evgeniy Petrov, Petrov Evgeniy   +2 more
exaly   +4 more sources