Results 211 to 220 of about 3,734 (243)
Differentiated memory and scientific cognition in AI research agents. [PDF]
Front Big DataCuadros DF +5 more
europepmc +1 more source
Modular Cone Metric Spaces [PDF]
Pure and Applied Mathematics Journal, 2013 In this paper a generalization of a modular metric which is also a generalization of cone metric, is introduced and some of its topological properties are studied. Next, a fixed point theorem in this space is proved and finally by an example, it is proved that the fixed point result of the paper "Ch. Mongkolkeha, W. Sintunavarat, P.
Gamchi, Saeedeh Shamsi +2 more
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Integral type contractions in modular metric spaces [PDF]
Journal of Inequalities and Applications, 2013 Abstract We prove the existence and uniqueness of a common fixed point of compatible mappings of integral type in modular metric spaces. MSC:47H09, 47H10, 46A80.
Choonkil Park +2 more
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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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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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Existence Theory on Modular Metric Spaces
2018Since 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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Fixed point results in orthogonal modular metric spaces
2020Summary: 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, 2010The 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, 2019In 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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