Results 41 to 50 of about 104,464 (301)
Quasisymmetric mappings in b-metric spaces
Ukrainian Mathematical Bulletin, 2021 Considering quasisymmetric mappings between b-metric spaces we have found a new estimation for the ratio of diameters of two subsets which are images of two bounded subsets. This result generalizes the well-known Tukia-Vaisala inequality. The condition under which the image of a b-metric space under a quasisymmetric mapping is also a b-metric space is ...
Petrov, Evgeniy A., Salimov, Ruslan R.
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On Ciric type theorems in b-metric spaces
Publications de l'Institut Mathematique, 2023 We show that the range of contraction constant in a result of Karap?nar et al. can not be extended to [0, 1). However, by using some additional conditions, we prove that the range can be extended to [0,1). The first result gives a negative answer to the open question on a Ciric type theorem in b-metric spaces, and the next results are ...
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Proinov type contractions on dislocated b-metric spaces [PDF]
Advances in Difference Equations, 2021 AbstractIn this paper, we improve the Proinov theorem by adding certain rational expressions to the definition of the corresponding contractions. After that, we prove fixed point theorems for these modified Proinov contractions in the framework of dislocated b-metric spaces.
Badr Alqahtani +3 more
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Rational Type Contractions in Extended b-Metric Spaces [PDF]
Symmetry, 2021 In this paper, we establish the existence of fixed points of rational type contractions in the setting of extended b-metric spaces. Our results extend considerably several well-known results in the existing literature. We present some nontrivial examples to show the validity of our results.
Huaping Huang +3 more
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Density and extension of differentiable functions on metric measure spaces
, 2021 We consider vector valued mappings de ned on metric measure spaces with a measurable differ-entiable structure and study both approximations by nicer mappings and regular extensions of the givenmappings when de ned on closed subsets.
Espínola García, Rafael +1 more
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Double controlled metric-like spaces
Journal of Inequalities and Applications, 2020 In this paper, we introduce a new extension of the double controlled metric-type spaces, called double controlled metric-like spaces, by assuming that the “self-distance” may not be zero On the other hand, if the value of the metric is zero, then it has ...
Nabil Mlaiki
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From metric spaces to partial metric spaces [PDF]
, 2013 Motivated by experience from computer science, Matthews (1994) introduced a nonzero self-distance called a partial metric. He also extended the Banach contraction principle to the setting of partial metric spaces.
VETRO, Francesca +2 more
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On Topological and Metric Properties of ⊕-sb-Metric Spaces
Mathematics, 2023 In this paper, we study ⊕-sb-metric spaces, which were introduced to generalize the concept of strong b-metric spaces. In particular, we study the properties of the topology induced via an ⊕-sb metric (separation properties, countability axioms, etc ...
Alexander Šostak +2 more
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Balls in generalizations of metric spaces
Journal of Inequalities and Applications, 2016 This paper discusses balls in partial b-metric spaces and cone metric spaces, respectively. Let ( X , p b ) $(X,p_{b})$ be a partial b-metric space in the sense of Mustafa et al. For the family △ of all p b $p_{b}$ -open balls in ( X , p b ) $(X,p_{b})$ ,
Xun Ge, Shou Lin
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Mathematics, 2023 Our paper is devoted to describing a new way of generalized convex contraction of type-2 in the framework of b-metric spaces and 2-metric spaces. First, the concept of a new generalized convex contraction on b-metric spaces and 2-metric spaces is ...
Gunasekaran Nallaselli +5 more
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