Results 1 to 10 of about 12,679,286 (241)
An equivalence of results in $C^*$-algebra valued b-metric and b-metric spaces [PDF]
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
doaj +5 more sources
Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces [PDF]
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
doaj +6 more sources
Integral Operators in b-Metric and Generalized b-Metric Spaces and Boundary Value Problems [PDF]
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
doaj +3 more sources
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
doaj +3 more sources
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
doaj +5 more sources
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
doaj +3 more sources
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
openaire +4 more sources
Royal Society Open Science, 2021 In recent years, open science practices have become increasingly popular in psychology and related sciences. These practices aim to increase rigour and transparency in science as a potential response to the challenges posed by the replication crisis ...
Sophia Crüwell, Nathan J. Evans
doaj +1 more source
New Versions of Some Results on Fixed Points in b-Metric Spaces
Mathematics, 2023 The main and the most important objective of this paper is to nominate some new versions of several well-known results about fixed-point theorems such as Caristi’s theorem, Pant et al.’s theorem and Karapınar et al.’s theorem in the case of b-metric ...
Zoran D. Mitrović +4 more
doaj +1 more source
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
doaj +1 more source