Results 1 to 10 of about 3,988,102 (209)
The Hausdorff–Pompeiu Distance in Gn-Menger Fractal Spaces
Mathematics, 2022 This paper introduces a complete Gn-Menger space and defines the Hausdorff–Pompeiu distance in the space. Furthermore, we show a novel fixed-point theorem for Gn-Menger-θ-contractions in fractal spaces.
Donal O’Regan +3 more
doaj +2 more sources
Common Fixed Point Theorems in Menger Probabilistic Quasimetric Spaces [PDF]
Fixed Point Theory and Applications, 2009 We consider complete Menger probabilistic quasimetric space and prove common fixed point theorems for weakly compatible maps in this space.
Shaban Sedghi +2 more
doaj +4 more sources
A non-discrete space X with Cp(X) Menger at infinity [PDF]
Applied General Topology, 2019 In a paper by Bella, Tokgös and Zdomskyy it is asked whether there exists a Tychonoff space X such that the remainder of Cp(X) in some compactification is Menger but not σ-compact.
Angelo Bella +1 more
doaj +2 more sources
Some properties defined by relative versions of star-covering properties II
Applied General Topology, 2023 In this paper we consider some recent relative versions of Menger property called set strongly star Menger and set star Menger properties and the corresponding Hurewicz-type properties. In particular, using [2], we "easily" prove that the set strong star
Maddalena Bonanzinga +2 more
doaj +1 more source
Weakly strongly star-Menger spaces
Cubo, 2021 A space $X$ is called weakly strongly star-Menger space if for each sequence ($\mathcal{U}_{n} : n \in \omega$) of open covers of $X,$ there is a sequence $(F_n : n\in\omega)$ of finite subsets of $X$ such that $\overline{\bigcup_{n\in\omega} St(F_n ...
Gaurav Kumar, Brij K. Tyagi
doaj +1 more source
On the Menger and almost Menger properties in locales
Applied General Topology, 2021 The Menger and the almost Menger properties are extended to locales. Regarding the former, the extension is conservative (meaning that a space is Menger if and only if it is Menger as a locale), and the latter is conservative for sober TD-spaces.
Tilahun Bayih +2 more
doaj +1 more source
Applied General Topology, 2021 A Meir-Keeler type fixed point theorem for a family of mappings is proved in Menger probabilistic metric space (Menger PM-space). We establish that completeness of the space is equivalent to fixed point property for a larger class of mappings that ...
Ravindra K. Bisht, Vladimir Rakocević
doaj +1 more source
Selectively strongly star-Menger spaces and related properties
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2021 A space X is selectively strongly star-Menger (briefly, selSSM) if for each sequence ... In this paper, we study some properties of selectively strongly star-Menger spaces, the relation with related properties and give some example distinguishing the ...
Maddalena Bonanzinga, Fortunato Maesano
doaj +1 more source
Fixed point theorem by using ψ–contraction and (ϕ,φ)–contraction in probabilistic 2–metric spaces
Alexandria Engineering Journal, 2020 This research paper investigates and proves some theorems of the fixed point for self–mapping [T:X→X] under (ϕ,ψ)–contractive mappings and (ϕ,φ)–contractive mappings in Menger probabilistic 2–metric space.
H.M. Abu-Donia +2 more
doaj +1 more source
پژوهشهای ریاضی, 2021 In this paper, first by using the constructions of probabilistic b-metric Menger space and probabilistic metric like Menger space, we introduce probabilistic b-metric like Menger space and present some examples of it.
Mahnaz Khanehgir, Reza Allahyari
doaj