Results 31 to 40 of about 981 (109)
A strong geometric hyperbolicity property for directed graphs and monoids [PDF]
, 2014 We introduce and study a strong "thin triangle"' condition for directed graphs, which generalises the usual notion of hyperbolicity for a metric space.
Gray, Robert, Kambites, Mark
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Cauchy Sequences in Semimetric Spaces [PDF]
Proceedings of the American Mathematical Society, 1972 As the main result we prove that every semimetrizable space has a semimetric for which every convergent sequence has a Cauchy subsequence. This result is used to show that a T 1 {T_1} space X is semimetrizable if and only if it is a pseudo-open Ļ \pi -image of a metric space.
openaire +2 more sources
The local triangle axiom in topology and domain theory
Applied General Topology, 2013 We introduce a general notion of distance in weakly separated topological spaces. Our approach differs from existing ones since we do not assume the reflexivity axiom in general.
Pawel Waszkiewicz
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On š¾-semimetric spaces [PDF]
Proceedings of the American Mathematical Society, 1979 An example is constructed of a separable Moore space that does not possess a compatible K-semimetric.
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Mathematics, 2018 The T1-spaces induced by the fuzzy semi-metric spaces endowed with the special kind of triangle inequality are investigated in this paper. The limits in fuzzy semi-metric spaces are also studied to demonstrate the consistency of limit concepts in the ...
Hsien-Chung Wu
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Couplings and Strong Approximations to Time Dependent Empirical Processes Based on I.I.D. Fractional Brownian Motions [PDF]
, 2016 We define a time dependent empirical process based on $n$ i.i.d.~fractional Brownian motions and establish Gaussian couplings and strong approximations to it by Gaussian processes.
Kevei, PĆ©ter, Mason, David M.
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Convergence in Fuzzy Semi-Metric Spaces
Mathematics, 2018 The convergence using the fuzzy semi-metric and dual fuzzy semi-metric is studied in this paper. The infimum type of dual fuzzy semi-metric and the supremum type of dual fuzzy semi-metric are proposed in this paper. Based on these two types of dual fuzzy
Hsien-Chung Wu
doaj +1 more source
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 In this paper, we present a common fixed point result for a pair of mappings defined on a bāmetric space, which satisfies quasiācontractive inequality with nonlinear comparison functions. An application in solving a class of integral equations will support our results.
Zoran D. MitroviÄ +5 more
wiley +1 more source
Common Coincidence Points and Common Fixed Points in Fuzzy Semi-Metric Spaces
Mathematics, 2018 We propose the so-called fuzzy semi-metric space in which the symmetric condition is not assumed to be satisfied. In this case, there are four kinds of triangle inequalities that should be considered.
Hsien-Chung Wu
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Common Fixed Point Results for a Pair of Multivalued Mappings in ComplexāValued bāMetric Spaces
Abstract and Applied Analysis, Volume 2020, Issue 1, 2020., 2020 Several fixed point results for the existence of common fixed points of multivalued contractive mappings have been established in complexāvalued metric space. In this paper, we study the existence of common fixed points for a pair of multivalued contractive mappings satisfying some rational inequalities in the framework of complexāvalued bāmetric ...
Olawale Kazeem Oyewole +3 more
wiley +1 more source