Results 31 to 40 of about 117,160 (165)

Weakly Contractive Mapping and Weakly Kannan Mapping in Partial Metric Space

open access: yesJurnal Ilmu Dasar, 2019
In the article the concept of metric space could be expanded, one of which is a partial metric space. In the metric space, the distance of a point to itself is equal to zero, while in the partial metric space need not be equal to zero.The concept of ...
S. Sunarsini   +2 more
doaj   +1 more source

Fuzzy Approximating Metrics, Approximating Parametrized Metrics and Their Relations With Fuzzy Partial Metrics

open access: yesMathematics, 2023
We generalize the concept of a fuzzy metric by introducing its approximating counterpart in order to make it more appropriate for the study of some problems related to words combinatorics. We establish close relations between fuzzy approximating metrics in case of special $t$-norms and approximating parametrized metrics, discuss some relations between
Raivis Bēts, Alexander Šostak
openaire   +2 more sources

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

Generalizations of metrics and partial metrics

open access: yesHacettepe Journal of Mathematics and Statistics, 2017
In [14] $k$-metric spaces were defined for certain $\ell$-group applications, by weakening the metric triangle inequality. In this article we show that much of the theory of metric spaces, including the Banach fixed point theorem extends to these spaces.
KOPPERMAN, Ralph, PAJOOHESH, Homeira
openaire   +3 more sources

On Fixed-Point Results in Controlled Partial Metric Type Spaces with a Graph

open access: yesMathematics, 2019
Recently, Mlaiki et al. introduced the notion of a controlled metric type space which is a generalization of the b-metric space. In this work, we define the controlled partial metric type space and give some fixed-point theorems for extensions of Kannan ...
Nizar Souayah, Mehdi Mrad
doaj   +1 more source

Weak partial metric spaces and some fixed point results

open access: yesApplied General Topology, 2012
The concept of partial metric p on a nonempty set X was introduced by Matthews. One of the most interesting properties of a partial metric is that p(x, x) may not be zero for x e X.
Ishak Altun, Gonca Durmaz
doaj   +1 more source

From metric spaces to partial metric spaces [PDF]

open access: yesFixed Point Theory and Applications, 2013
Let \((X,p)\) be a partial metric space and \(p^s(x,y):= 2p(x,y)-p(x,x)-p(y,y) \) the metric on \(X\) generated by \(p\). In this paper the authors study the following problems: If \(T:(X,p) \to (X,p) \) is a generalized contraction, which condition satisfies \(T\) with respect to \(p^s\)?
Samet, B   +2 more
openaire   +3 more sources

Partial Hausdorff metric and Nadlerʼs fixed point theorem on partial metric spaces

open access: yesTopology and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aydi, H, Abbas, M, VETRO, Calogero
openaire   +3 more sources

Some Fixed Point Results in Partial Rectangular Metric-Like Spaces

open access: yesJournal of Mathematics, 2021
In this paper, we introduce a new concept of partial rectangular metric-like space and prove some results on the existence and uniqueness of a fixed point of a function T:X⟶X, defined on a partial rectangular metric-like space X, which fulfills a ...
Eriola Sila, Sidite Duraj, Elida Hoxha
doaj   +1 more source

Some Integral Inequalities Involving Metrics

open access: yesEntropy, 2021
In this work, we establish some integral inequalities involving metrics. Moreover, some applications to partial metric spaces are given. Our results are extension of previous obtained metric inequalities in the discrete case.
Ravi P. Agarwal   +2 more
doaj   +1 more source

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