Results 91 to 100 of about 981 (109)
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Nonlinear Contractions on Semimetric Spaces
Journal of Applied Analysis, 1995Abstract Let (X, d) be a Hausdorff semimetric (d need not satisfy the triangle inequality) and d–Cauchy complete space. Let ƒ be a selfmap on X, for which d(ƒx, ƒy) ≤ φ(d(x, y)), (x, y ∈ X), where φ is a non– decreasing function from R +, the nonnegative reals, into R + such that φn ...
J. Jachymski +2 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)]
Tomonari Suzuki
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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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On regular semimetric spaces having strong triangle functions
Journal of Fixed Point Theory and Applications, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Dung
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Fixed points and Cauchy sequences in semimetric spaces
Journal of Fixed Point Theory and Applications, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
William Kirk, Naseer Shahzad
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Journal of Mathematical Sciences
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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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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Perimetric contraction principle on quadrilaterals in semimetric spaces with triangle functions
Acta Mathematica Hungaricaexaly +3 more sources
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