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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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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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Consistency Of Definition Of Orthogonality In A Partial Metric Induced By A Metric
Jurnal Derivat, 2023 An extension of the metric space in which the distance of the same point is not always zero is called a partial metric space. Orthogonality is the relation of two perpendicular lines at one point of intersection forming a right angle.
Mochammad Hafiizh +3 more
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Results on common fixed points in S_b-metric spaces [PDF]
E-Journal of Analysis and Applied MathematicsIn this paper, we establish new common fixed point theorems for pairs of weakly compatible mappings within the framework of S_b-metric spaces. By introducing generalized contractive conditions, we demonstrate the existence and uniqueness of common fixed ...
Pramodkumar Sohanlal Sharma +1 more
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UNIQUE FIXED POINT THEOREMS FOR CONTRACTIVE MAPS TYPE IN T 0 -QUASI-METRIC SPACES [PDF]
, 2014 In [2], Agyingi proved that every generalized contractive mapping defined in a q-spherically complete T 0 -ultra-quasi-metric space has a unique fixed point.
Yae ́ Ulrich Gaba
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