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Contractive Maps in the Hyperspace of Menger Probabilistic Metric Space
Journal of the Indian Society for Probability and StatisticsMaria Poulose, P. B. V. Kumar, P. Pramod
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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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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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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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A note on probabilistic φ-contractions in Menger spaces
Fuzzy Sets and Systems, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dingwei Zheng, Xin-he Liu, Pei Wang
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Weaker forms of the Menger property in bitopological spaces
Quaestiones Mathematicae, 2018 In this paper we continue previous investigations on the weaker forms of the Menger property in bitopological spaces. We introduce weakly Menger property and study some topological properties of almost and weakly Menger bitopological spaces.
Eysen, A. Erme, Ozcag, Selma
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Menger Space and Some Contraction Mappings
Communications on Applied Nonlinear AnalysisMenger space is a probabilistic metric space introduced by K. Menger [15] in 1942 as one of the generalizations of metric space. The two different types of contraction mappings in probabilistic metric spaces are the creation of V.M. Sehgal [20-21], and T.
Ajay Kumar Chaudhary +2 more
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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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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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Extension and Generalization of Banach Contraction in Metric and in Menger Space
Communications on Applied Nonlinear AnalysisThe root of metric fixed point theory is Stefen Banach's contraction mapping, a research source for shrinking the distance between two points in space. As a source, many authors have introduced many contraction mappings as extensions and generalizations ...
Ajay Kumar Chaudhary +2 more
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