Results 1 to 10 of about 45,851 (264)
On the topology of D-metric spaces and generation of D-metric spaces from metric spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 An example of a D‐metric space is given, in which D‐metric convergence does not define a topology and in which a convergent sequence can have infinitely many limits. Certain methods for constructing D‐metric spaces from a given metric space are developed and are used in constructing (1) an example of a D‐metric space in which D‐metric convergence ...
S. V. R. Naidu +2 more
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Mathematics, 2023 The double-controlled metric-type space (X,D) is a metric space in which the triangle inequality has the form D(η,μ)≤ζ1(η,θ)D(η,θ)+ζ2(θ,μ)D(θ,μ) for all η,θ,μ∈X. The maps ζ1,ζ2:X×X→[1,∞) are called control functions.
Irshad Ayoob +2 more
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On Hybrid Contractions in the Context of Quasi-Metric Spaces
Mathematics, 2020 In this manuscript, we will investigate the existence of fixed points for mappings that satisfy some hybrid type contraction conditions in the setting of quasi-metric spaces. We provide examples to assure the validity of the given results. The results of
Andreea Fulga +2 more
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Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces [PDF]
The Scientific World Journal, 2014 The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced.
N. Hussain, P. Salimi
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Partial Rectangular Metric Spaces and Fixed Point Theorems [PDF]
The Scientific World Journal, 2014 The purpose of this paper is to introduce the concept of partial rectangular metric spaces as a generalization of rectangular metric and partial metric spaces.
Satish Shukla
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On the H.-Q. Li inequality on step-two Carnot groups
Comptes Rendus. Mathématique, 2023 In this note we show that the gradient estimate of the heat semigroup, or more precisely the H.-Q. Li inequality, is preserved under tensorization, some suitable group epimorphism, and central sum. We also establish the Riemannian counterpart of the H.-Q.
Zhang, Ye
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Estimation of fuzzy metric spaces from ordinary metric spaces
Ratio Mathematica, 2021 In this paper we estimate the new way for analyzing the fuzzy metric spaces from ordinary metric spaces using fuzzy fixed point theorem and vice versa.
P Kumar Senthil, Thiruveni Packirisamy
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Asymptotically Mean Value Harmonic Functions in Doubling Metric Measure Spaces
Analysis and Geometry in Metric Spaces, 2022 We consider functions with an asymptotic mean value property, known to characterize harmonicity in Riemannian manifolds and in doubling metric measure spaces.
Adamowicz Tomasz +2 more
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Hippocampus, 2008 AbstractNot all areas of neuronal systems investigation have matured to the stage where computation can be understood at the microcircuit level. In mammals, insights into cortical circuit functions have been obtained for the early stages of sensory systems, where signals can be followed through networks of increasing complexity from the receptors to ...
Edvard I, Moser, May-Britt, Moser
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Teori Titik Tetap untuk Tipe Kannan yang Diperumum dalam Ruang b-Metrik Modular Lengkap
Jambura Journal of Mathematics, 2023 Some generalizations of Banach's contraction principle, which is a fixed-point theorem for contraction mapping in metric spaces, have developed rapidly in recent years.
Afifah Hayati +2 more
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