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Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces

open access: yesAbstract and Applied Analysis, 2013
We introduce a b-metric on the cone b-metric space and then prove some equivalences between them. As applications, we show that fixed point theorems on cone b-metric spaces can be obtained from fixed point theorems on b-metric spaces.
Poom Kumam   +2 more
doaj   +5 more sources

On Fuzzy b-Metric-Like Spaces [PDF]

open access: yesJournal of Function Spaces, 2021
The aim of this manuscript is to introduce the concept of fuzzy b-metric-like spaces and discuss some related fixed point results. Some examples are imparted to illustrate the feasibility of the proposed methods. Finally, to validate the superiority of the obtained results, an application is provided to solve a first kind of Fredholm type integral ...
Khalil Javed   +5 more
openaire   +4 more sources

An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces

open access: yesApplied General Topology, 2017
We construct a $b$-metric from a given $C^*$-algebra-valued $b$-metric and prove some equivalences between them. Then we show that not only fixed point results but also topological properties on $C^*$-algebra-valued $b$-metric spaces may be deduced from ...
Nguyen Van Dung   +2 more
doaj   +5 more sources

Quasi-Partial Branciari b-Metric Spaces and fixed point results with an application [PDF]

open access: yesJournal of Hyperstructures, 2023
The main aim of this research paper is to introduce concept of quasi-partial Branciari b-metric space. Such spaces arean extension of quasi-partial metric spaces, quasi-partial b-metric spaces and quasi-partial Branciari metric spaces.
Dileep Sharma, Jayesh Tiwari
doaj   +1 more source

Banach Fixed Point Theorem in Extended bv(s)-Metric Spaces

open access: yesComputer Sciences & Mathematics Forum, 2023
We define the class of extended bv(s)-metric spaces by replacing the real number s≥1 with a strictly increasing continuous function ϕ in the definition of a bv(s)-metric space.
Anil Kumar
doaj   +1 more source

Common fixed point on the $b_v(s)$-metric space of function-valued mappings

open access: yesAIMS 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
doaj   +1 more source

Some results for multivalued mappings in extended fuzzy b-metric spaces

open access: yesAIMS Mathematics, 2023
In this paper, some fixed point results for multivalued contractions are established in setting G-complete extended fuzzy b-metric spaces. An example is furnished to demonstrate the validity of results.
Samina Batul   +4 more
doaj   +1 more source

Partial b-Rectangular Metric Space with Some Results

open access: yesTikrit Journal of Pure Science, 2022
A new generalization of metric space called partial b-rectangular metric space is introduced. Also, the relation between this generalization and the other generalizations for example a b-rectangular metric space is given. Moreover, we have proved Banach
Noor Riyadh Adeeb
doaj   +1 more source

Some results in function weighted b-metric spaces

open access: yesAIMS Mathematics, 2023
In this paper, we introduce F-b-metric space (function weighted b-metric space) as a generalization of the F-metric space (the function weighted metric space). We also propose and prove some topological properties of the F-b-metric space, the theorems of
Budi Nurwahyu , Naimah Aris, Firman
doaj   +1 more source

Solution of integral equations for multivalued maps in fuzzy b -metric spaces using Geraghty type contractions

open access: yesAIMS Mathematics, 2023
In this article, the notion of Hausdorff fuzzy $ b $-metric space is studied. Some fixed point results for multivalued mappings using Geraghty type contractions in $ G $-complete fuzzy $ b $-metric spaces are established.
Rashid Ali   +5 more
doaj   +1 more source

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