Results 11 to 20 of about 3,836,386 (143)

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

Generalized fractals in semimetric spaces [PDF]

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

A regular Lindelöf semimetric space which has no countable network [PDF]

Proceedings of the American Mathematical Society, 1970
A completely regular semimetric space M M is constructed which has no
E. S. Berney
openaire   +2 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

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

Journal of Mathematics, Volume 2025, Issue 1, 2025.
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, Peng Wang, Fei He, Pramita Mishra   +3 more
wiley   +2 more sources

On cyclic relatively nonexpansive mappings in generalized semimetric spaces [PDF]

Applied General Topology, 2015
In this article, we prove a fixed point theorem for cyclic relatively nonexpansive mappings in the setting of generalized semimetric spaces by using a geometric notion of seminormal structure and then we conclude some results in uniformly convex Banach spaces. We also discuss on the stability of seminormal structure in generalized semimetric spaces.
Moosa Gabeleh, Gabeleh, Moosa
openaire   +5 more sources

Characterization of  ∑-Semicompleteness via Caristi’s Fixed Point Theorem in Semimetric Spaces [PDF]

Journal of Function Spaces, 2018
Introducing the concept of ∑-semicompleteness in semimetric spaces, we extend Caristi’s fixed point theorem to ∑-semicomplete semimetric spaces. Via this extension, we characterize ∑-semicompleteness. We also give generalizations of the Banach contraction principle.
Tomonari Suzuki
openaire   +5 more sources