Results 141 to 150 of about 5,105,361 (177)
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Equality of Dimensions for Some Paracompact $$\sigma$$ -Spaces
Математические заметки, 2023The equality of the dimensions $$\operatorname{Ind}X$$ and $$\operatorname{dim}X$$ of a first countable paracompact $$\sigma$$ -space $$X$$ with a 1-continuous semimetric is proved. A partial positive answer to A. V.
I. M. Leibo
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On the Existence of Bi-Lipschitz Equivalent Metrics in Semimetric Spaces
Mathematica Slovaca, 2023ABSTRACTWe provide an overview of the known problem on the existence of a bi-Lipschitz equivalent metric with respect to a given quasi-ultrametric, revisiting known results and counterexamples in an unified approach based on the existence of a relaxed polygonal inequality. We present new proofs and characterizations of classical results using different
Caruso, Andrea Orazio +1 more
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Caristi’s fixed point theorem in semimetric spaces
Journal of Fixed Point Theory and Applications, 2018In [Lect. Notes Math. 490, 74--83 (1975; Zbl 0315.54052)], \textit{J. Caristi} and \textit{W. A. Kirk} proved an interesting fixed point theorem in complete metric space for $T$ satisfying a special condition. This result was extended by \textit{W. A. Kirk} and \textit{N. Shahzad} [J. Fixed Point Theory Appl. 17, No. 3, 541--555 (2015; Zbl 1326.54045)]
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Vehicular air-bag control based on energy, momentum, and semimetric spaces
IEEE Transactions on Vehicular Technology, 2000Described in this paper is a geometric control algorithm for quantifying crash severity, distinguishing crash configurations, and activating air bags during collisions. Its conceptual function and calibration depend on energy, momentum, and semimetric spaces.
R. Barnard, M. Riesner
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Interval semimetric spaces for approximate distances
2005In accordance with the ideas of Interval Analysis, a notion of interval-valued semimetric space is proposed. Also, the possibility of applying the resulting theory to some chapters of Computer Science is examined.
COPPOLA, CRISTINA, PACELLI, TIZIANA
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Convergent sequences in semimetric spaces
Publicationes Mathematicae Debrecen, 2022openaire +2 more sources
The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
exaly
Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
exaly
Ukrainian Mathematical Bulletin
This paper extends a recently introduced class of mappings contracting the total pairwise distances - an n-point extension of the Banach contraction principle - within the framework of semimetric spaces, employing triangle functions as defined by Bessenyei and Páles in [13].
Ravindra K. Bisht, Evgen O. Petrov
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This paper extends a recently introduced class of mappings contracting the total pairwise distances - an n-point extension of the Banach contraction principle - within the framework of semimetric spaces, employing triangle functions as defined by Bessenyei and Páles in [13].
Ravindra K. Bisht, Evgen O. Petrov
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Cosmology with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Germano Nardini
exaly

