Results 1 to 10 of about 188,700 (162)
Basic inequality on a b-metric space and its applications. [PDF]
J Inequal Appl, 2017 We first prove one of the most basic inequalities on a b-metric space. And then we prove some fixed point theorems. We also consider two similar conditions; one implies the Cauchyness on sequences but the other does not.
Suzuki T.
europepmc +6 more sources
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
doaj +5 more sources
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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Controlled Metric Type Spaces and the Related Contraction Principle
Mathematics, 2018 In this article, we introduce a new extension of b-metric spaces, called controlled metric type spaces, by employing a control function α ( x , y ) of the right-hand side of the b-triangle inequality.
Nabil Mlaiki +3 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
openaire +4 more sources
Quasi-Partial Branciari b-Metric Spaces and fixed point results with an application [PDF]
Journal 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
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Banach Fixed Point Theorem in Extended bv(s)-Metric Spaces
Computer 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
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Partial b-Rectangular Metric Space with Some Results
Tikrit 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
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Sehgal–Guseman-Type Fixed Point Theorem in b-Rectangular Metric Spaces
Mathematics, 2021 In this paper, we prove a Sehgal–Guseman-type fixed point theorem in b-rectangular metric spaces which provides a complete solution to an open problem raised by Zoran D. Mitrović (A note on a Banach’s fixed point theorem in b-rectangular metric space and
Dingwei Zheng, Guofei Ye, Dawei Liu
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A new extension to the controlled metric type spaces endowed with a graph
Advances in Difference Equations, 2021 In this paper, we initiate a new extension of b-metric spaces, called controlled metric-like spaces, by changing the condition [ ℘ ( s , r ) = 0 ⇔ s = r ] by [ ℘ ( s , r ) = 0 ⇒ s = r ] $$ \bigl[\wp (s,r)=0 \Leftrightarrow s=r\bigr]\quad \text{by ...
Nabil Mlaiki +3 more
doaj +1 more source