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Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 In this paper we present a new approach for the fuzzy quasi-b-metric spaces and we obtain some properties of these spaces. A special attention is granted to the decomposition theorems of a fuzzy quasi-b-metric into a right continuous and ascending family
Nădăban Sorin
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Some Fixed Points Results in b-Metric and Quasi b-Metric Spaces
Journal of Function Spaces, 2022 We present a fixed point result in quasi b-metric spaces. Our result generalizes recent fixed point results obtained by Aleksić et al., Dung and Hang, Jovanović et al., Sarwar, and Rahman and classical results obtained by Hardy, Rogers, and Ćirić.
Reny George +3 more
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Existence of common fuzzy fixed points via fuzzy F-contractions in b-metric spaces [PDF]
Scientific ReportsThe main goal of this study is to establish common fuzzy fixed points in the context of complete b-metric spaces for a pair of fuzzy mappings that satisfy F-contractions.
Shazia Kanwal +3 more
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Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces
Abstract 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
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An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces
Applied 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
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Solution of fractional differential equations in quasi-b-metric and b-metric-like spaces [PDF]
Advances in Difference Equations, 2019 In this article, using by α-admissible and αqsp $\alpha _{qs^{p}}$-admissible mappings, solutions of some fractional differential equations are investigated in quasi-b-metric and b-metric-like spaces.
Hojjat Afshari
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Relation between b-metric and fuzzy metric spaces [PDF]
Mathematica Moravica, 2018 In this work we have considered several common fixed point results in b-metric spaces for weak compatible mappings. By applications of these results we establish some fixed point theorems in b-fuzzy metric spaces.
Hassanzadeh Zeinab, Sedghi Shaban
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Integral Operators in b-Metric and Generalized b-Metric Spaces and Boundary Value Problems
Fractal and FractionalWe study fixed-point theorems of contractive mappings in b-metric space, cone b-metric space, and the newly introduced extended b-metric space. To generalize an existence and uniqueness result for the so-called Φs functions in the b-metric space to the ...
Christopher Middlebrook, Wenying Feng
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Extended b-metric preserving functions
Revista IntegraciónIn a previous investigation, we present the current state of the family of functions that preserve the weak ultrametric UD and the set of maps that preserve the extended b–metric BE and their relation to those existing in the literature. In this article,
Reinaldo Martínez Cruz +2 more
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On Fuzzy b-Metric-Like Spaces [PDF]
Journal 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
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