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Design, modular synthesis and screening of 58 shape-diverse 3-D fragments. [PDF]

open access: yesChem Sci
Downes TD   +17 more
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Trust and class aware service discovery with dual control in the social Internet of Things. [PDF]

open access: yesSci Rep
Rehman A   +5 more
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Modular Metric Spaces

2015
The concept of a metric space is closely related to our intuitive understanding of space is the 3-dimensional Euclidean space. In fact, the notion of metric is a generalization of the Euclidean metric arising from the basic long known properties of the Euclidean distance.
Mohamed A. Khamsi, Wojciech M. Kozlowski
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Fixed point results in orthogonal modular metric spaces

2020
Summary: First we generalize the notion of \(O\)-sets and then we establish some fixed point theorems for Banach's contraction and Suzuki type \(\Theta\)-contraction in the setting of orthogonal modular metric spaces. The obtained results extend, generalize and improve many fixed point results given by some authors in the literature.
Hosseini, Hoda, Eshaghi Gordji, Madjid
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Modular metric spaces, I: Basic concepts

Nonlinear Analysis: Theory, Methods & Applications, 2010
The author introduces the notion of a (metric) modular as follows: A (metric) modular on a set \(X\) is a function \(w:(0,\infty)\times X\times X\rightarrow [0,\infty]\) satisfying, for all \(x,y,z\in X,\) the following three properties: \(x=y\) if and only if \(w(\lambda,x,y)=0\) for all \(\lambda >0;\) \(w(\lambda,x,y)=w(\lambda,y,x)\) for all ...
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Meir–Keeler type contractive mappings in modular and partial modular metric spaces

Asian-European Journal of Mathematics, 2019
In this paper, first, we introduce the class of [Formula: see text]-Meir–Keeler contractive mappings and establish some fixed point results. Next, we introduce the notion of partial modular metric space and establish some fixed point results in this new spaces.
Hasan Hosseinzadeh, Vahid Parvaneh
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Existence Theory on Modular Metric Spaces

2018
Since the year 1922, Banach’s contraction principle, due to its simplicity and usability, has become a popular tool in modern analytics, particularly in nonlinear analysis, including the use of equations, differential equations, variance, equilibrium problems, and much more (see, e.g., [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]).
Anantachai Padcharoen   +2 more
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