Results 41 to 50 of about 456,257 (299)
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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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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Metric spaces related to Abelian groups
Applied General Topology, 2021 When working with a metric space, we are dealing with the additive group (R, +). Replacing (R, +) with an Abelian group (G, ∗), offers a new structure of a metric space. We call it a G-metric space and the induced topology is called the G-metric topology.
Amir Veisi, Ali Delbaznasab
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Alexandria Engineering Journal, 2020 In this article, we propose a generalization of both b-metric and dislocated metric, namely, dislocated extended b-metric space. After getting some fixed point results, we suggest a relatively simple solution for a Volterra integral equation by using the
Sumati Kumari Panda +2 more
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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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SOME FIXED POINT RESULTS ON RECTANGULAR b−METRIC SPACE [PDF]
, 2021 In this paper we have obtained some results on a complete rectangular b−metric space and these results generalized many existing results in this ...
Barman, Dinanath +2 more
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Solvability of integral equations through fixed point theorems: a survey [PDF]
Surveys in Mathematics and its Applications, 2022 This paper surveys regarding solutions of linear and nonlinear integral equations through fixed point theorem. Banach's contraction mapping principle is the most widely applied fixed point theorem in all of analysis with special applications to the ...
Usha Bag , Reena Jain
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New Hybrid Contractions on b-Metric Spaces
Mathematics, 2019 In this manuscript, we introduce the notion of b-hybrid contraction in the setting of b-metric space. We investigate the existence and uniqueness of a fixed point for this contraction.
Erdal Karapınar, Andreea Fulga
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