Results 11 to 20 of about 1,094,169 (129)

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

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.
Hamed Alsulami, Maha Noorwali
exaly   +4 more sources

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   +4 more sources

On 𝐾-semimetric spaces [PDF]

Proceedings of the American Mathematical Society, 1979
An example is constructed of a separable Moore space that does not possess a compatible K -semimetric.
Dennis K. Burke
openaire   +2 more sources

Cauchy sequences in semimetric spaces [PDF]

Proceedings of the American Mathematical Society, 1972
As the main result we prove that every semimetrizable space has a semimetric for which every convergent sequence has a Cauchy subsequence. This result is used to show that a T
Dennis K. Burke
openaire   +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
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

Convergence in probabilistic semimetric spaces

Rocky Mountain Journal of Mathematics, 1988
A probabilistic semimetric space (S,F) is a set S together with a function F defined on \(S\times S\) with values in the space \(\Delta^+\), which is a space of real-valued functions, satisfying some weak assumptions resembling those for a metric except for the triangular inequality.
Richardson, G. D.
openaire   +4 more sources

Caristi Type Coincidence Point Theorem in Topological Spaces [PDF]

Journal of Applied Mathematics, 2013
A generalized Caristi type coincidence point theorem and its equivalences in the setting of topological spaces by using a kind of nonmetric type function are obtained.
Jiang Zhu, Lei Wei, Cheng-Cheng Zhu
doaj   +2 more sources