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Quaestiones Mathematicae, 2023
In this paper, we prove that the product of a set star-Menger space with a compact space is a rectangular set star-Menger. We also provide an example of Tychonoff pesudocompact set star-Menger space which is not set strongly starMenger. The above mentioned results answer two questions of [14].
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In this paper, we prove that the product of a set star-Menger space with a compact space is a rectangular set star-Menger. We also provide an example of Tychonoff pesudocompact set star-Menger space which is not set strongly starMenger. The above mentioned results answer two questions of [14].
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Quaestiones Mathematicae, 2014
A space X is star-C-Menger if for each sequence (Un : n ∈ N) of open covers of X there exists a sequence (Ksub>n : n ∈ N) of countably compact subsets of X such that {St(Kn; Un) : n ∈ N} is an open cover of X. In this paper, we investigate the relationship between star-C-Menger spaces and related spaces, and study topological properties of star-< ...
Song, Yan-Kui, Yin, Zheng
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A space X is star-C-Menger if for each sequence (Un : n ∈ N) of open covers of X there exists a sequence (Ksub>n : n ∈ N) of countably compact subsets of X such that {St(Kn; Un) : n ∈ N} is an open cover of X. In this paper, we investigate the relationship between star-C-Menger spaces and related spaces, and study topological properties of star-< ...
Song, Yan-Kui, Yin, Zheng
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Publicationes Mathematicae Debrecen, 2022
Motivated by the Arhangel’skii [2] “s-Lindel¨of cardinal function” and Koˇcinac, Konca, and Singh [15] set-star covering properties, we introduce the setstar-C-Menger property. A space X is said to have the set-star-C-Menger property if for each nonempty subset A of X and each sequence (Un : n ∈ N) of families of open subsets of X such that A ⊂ ∪Un for
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Motivated by the Arhangel’skii [2] “s-Lindel¨of cardinal function” and Koˇcinac, Konca, and Singh [15] set-star covering properties, we introduce the setstar-C-Menger property. A space X is said to have the set-star-C-Menger property if for each nonempty subset A of X and each sequence (Un : n ∈ N) of families of open subsets of X such that A ⊂ ∪Un for
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Almost Menger Property in Bitopological Spaces
Ukrainian Mathematical Journal, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Özçağ, S., Eysen, A. E.
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A new contraction principle in menger spaces
Acta Mathematica Sinica, English Series, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Choudhury, Binayak S., Das, Krishnapada
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Fixed point results for cyclic contractions in Menger PM-spaces and generalized Menger PM-spaces
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Zhaoqi, Zhu, Chuanxi, Yuan, Chenggui
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Star-Menger and related spaces
Publicationes Mathematicae Debrecen, 1999Summary: The author introduces and studies some notions related to the classical concepts of being a Menger space or a Rothenberger space.
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Menger-Betweenness in α-Simple Spaces
1983Let (S,d,G;α) be an α-simpie space with α > 1, and let B(p,r) be the set of all points q in S which are Menger-between p and r, together with p and r. In this paper, we obtain best possible upper and lower bounds for B(p,r). Furthermore, we show that if (S, ∥ · ∥) is a normed linear space and d(p,q) = ∥p − q∥, then B(p,r) is convex and p, r are on the ...
C. Alsina, B. Schweizer
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Herald of Institute Mathematics of the National Academy of Sciences of the Kyrgyz Republic, 2021
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On probabilistic -contractions on Menger spaces
Nonlinear Analysis: Theory, Methods & Applications, 2010Abstract Recently, Ciric [Lj.B. Ciric, Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces, Nonlinear Anal. 72 (2010) 2009–2018] obtained a fixed point theorem with the intention to get a probabilistic version of the Boyd–Wong theorem [D.W. Boyd, J.S.W. Wong, On nonlinear contractions, Proc. Amer.
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