Results 1 to 10 of about 184 (111)

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, Pales Zsolt
exaly   +6 more sources

Generalized fractals in semimetric spaces [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mihály Bessenyei
exaly   +5 more sources

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 under some local constraints. Furthermore, we provide examples to support our conclusion.
Maha Noorwali, Hamed Alsulami
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   +3 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. We consider corresponding mappings in semimetric spaces with triangle functions introduced by Bessenyei and Páles. Such an approach allows us to derive
Ruslan Salimov, Ravindra K Bisht, Salimov Ruslan   +2 more
exaly   +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.
exaly   +3 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 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

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

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