Results 1 to 10 of about 202,228 (310)
Fuzzy metric topology space and manifold [PDF]
Journal of Fuzzy Extension and Applications, 2023 This paper, considers the fuzzy topological subsets, fuzzy topological spaces and introduces a novel concept of fuzzy Hausdorff space and fuzzy manifold space in this regards. Based on these concepts, we present a concept of fuzzy metric Hausdorff spaces
Mahdi Mollaei Arani
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Neutrosophic metric spaces [PDF]
Mathematical Sciences, 2020 In present paper, the definition of new metric space with neutrosophic numbers is given. Several topological and structural properties have been investigated. The analogues of Baire Category Theorem and Uniform Convergence Theorem are given for Neutrosophic metric spaces.
Murat Kirişci, Necip Şimşek
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Probabilistic modular metric spaces [PDF]
Journal of Hyperstructures, 2020 The purpose of this study is to investigate the connection between probabilistic and modular metric spaces. We discussseveral important properties such as convergence and completeness,etc, and the relationship among the mentioned properties in the ...
Kianoush Fathi Vajargah +1 more
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Pointwise k-Pseudo Metric Space
Mathematics, 2021 In this paper, the concept of a k-(quasi) pseudo metric is generalized to the L-fuzzy case, called a pointwise k-(quasi) pseudo metric, which is considered to be a map d:J(LX)×J(LX)⟶[0,∞) satisfying some conditions.
Yu Zhong, Alexander Šostak, Fu-Gui Shi
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(L,M)-Fuzzy k-Pseudo Metric Space
Mathematics, 2022 Recently, the notion of a classical k-metric, which make the triangle inequality to a more general axiom: d(x,z)≤k(d(x,y)+d(y,z)), has been presented and is applied in many fields.
Yu Zhong +3 more
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The Duality of Similarity and Metric Spaces
Applied Sciences, 2021 We introduce a new mathematical basis for similarity space. For the first time, we describe the relationship between distance and similarity from set theory. Then, we derive generally valid relations for the conversion between similarity and a metric and
Ondřej Rozinek, Jan Mareš
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Generalize partial Metric spaces
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2020 The purpose of this research is to introduce a concept of general partial metric spaces as a generalization of partial metric space. Give some results and properties and find relations between general partial metric space, partial metric spaces and D ...
Norhan I. Abdullah, Laith K. Shaakir
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A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces
Journal of New Theory, 2023 This paper contains the equivalence between tvs-G cone metric and G-metric using a scalarization function $\zeta_p$, defined over a locally convex Hausdorff topological vector space. This function ensures that most studies on the existence and uniqueness
Tarapada Bag, Abhishikta Das
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Common fixed point on the $b_v(s)$-metric space of function-valued mappings
AIMS Mathematics, 2021 In this paper, some common fixed point results are obtained in $b_v(s)$-metric spaces. $b_v(s)$-metric space generalizes not only $b$-metric space but also rectangular metric space, $v$-generalized metric space and rectangular $b$-metric space.
Tayebe Lal Shateri +2 more
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Metrically round and sleek metric spaces
The Journal of Analysis, 2022 A round metric space is the one in which closure of each open ball is the corresponding closed ball. By a sleek metric space, we mean a metric space in which interior of each closed ball is the corresponding open ball. In this, article we establish some results on round metric spaces and sleek metric spaces.
Jitender Singh, T. D. Narang
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