Results 31 to 40 of about 36,982 (261)
On a theorem of Ćirić in b-metric spaces
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Karapınar, Erdal +3 more
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Quasisymmetric mappings in b-metric spaces
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 Topological and Metric Properties of ⊕-sb-Metric Spaces
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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On Ciric type theorems in b-metric spaces
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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Cyclic Mappings and Further Results in B-Metric-Like Spaces
Fixed point problem of many mappings has been widely studied in the research work of fixed point theory. The generalized metric space is one of the research objects of fixed point theory.
Shengquan Weng +3 more
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Proinov type contractions on dislocated b-metric spaces [PDF]
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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Metric spaces and their various generalizations occur frequently in computer science applications. This is the reason why, in this paper, we introduced and studied the concept of fuzzy b-metric space, generalizing, in this way, both the notion of fuzzy metric space introduced by I. Kramosil and J. Michálek and the concept of b-metric space.
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Contractive conditions in b-metric spaces [PDF]
The purpose of this paper is to consider various contractive conditions in b-metric spaces which have been recently published. Our results improve and complement many recent results from this field. Using the recently obtained result by R. Miculescu and A.
Tatjana Dosenovic +2 more
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Balls in generalizations of metric spaces
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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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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