Results 11 to 20 of about 105,191 (283)
Pre-Metric Spaces Along with Different Types of Triangle Inequalities
Axioms, 2018 The T 1 -spaces induced by the pre-metric spaces along with many forms of triangle inequalities are investigated in this paper. The limits in pre-metric spaces are also studied to demonstrate the consistency of limit concept in the induced ...
Hsien-Chung Wu
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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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Some Improvements of the Cauchy-Schwarz Inequality Using the Tapia Semi-Inner-Product
Mathematics, 2020 The aim of this article is to establish several estimates of the triangle inequality in a normed space over the field of real numbers. We obtain some improvements of the Cauchy–Schwarz inequality, which is improved by using the Tapia semi-inner-product ...
Nicuşor Minculete, Hamid Reza Moradi
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Neutrosophic Double Controlled Metric Spaces and Related Results with Application
Fractal and Fractional, 2022 In this paper, the authors introduce the notion of neutrosophic double controlled metric spaces as a generalization of neutrosophic metric spaces. For this purpose, two non-comparable functions, ξ and Γ, are used in triangle inequalities.
Fahim Uddin +5 more
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On the Extension of the Erdos-Mordell Type Inequalities [PDF]
, 2014 We discuss the extension of inequality R_A >= c/a * r_b + b/a * r_c to the plane of triangle ABC. Based on the obtained extension, in regard to all three vertices of the triangle, we get the extension of Erdos-Mordell inequality, and some inequalities of
Malesevic, Branko +3 more
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On Sharp Triangle Inequalities in Banach Spaces II
Journal of Inequalities and Applications, 2010 Sharp triangle inequality and its reverse in Banach spaces were recently showed by Mitani et al. (2007). In this paper, we present equality attainedness for these inequalities in strictly convex Banach spaces.
Kichi-Suke Saito, Ken-Ichi Mitani
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On certain new refinements of Finsler-Hadwiger inequalities
Journal of Inequalities and Applications, 2017 Several refinements of the Finsler-Hadwiger inequality and its reverse in the triangle are discussed. A new one parameter family of Finsler-Hadwiger inequalities and their reverses are proved.
Omran Kouba
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The isometries of the cut, metric and hypermetric cones [PDF]
, 2003 We show that the symmetry groups of the cut cone Cut(n) and the metric cone Met(n) both consist of the isometries induced by the permutations on {1,...,n}; that is, Is(Cut(n))=Is(Met(n))=Sym(n) for n>4. For n=4 we have Is(Cut(4))=Is(Met(4))=Sym(3)xSym(4).
Deza, Antoine +2 more
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Properties of distance spaces with power triangle inequalities
Karpatsʹkì Matematičnì Publìkacìï, 2016 Metric spaces provide a framework for analysis and have several very useful properties. Many of these properties follow in part from the triangle inequality.
D. Greenhoe
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Frontiers in Psychology, 2022 The behavioral characteristics, health statuses, and survival times of seniors in China and Japan using the fixed cohort method and constructed relationship models among capital, habitus, and health based on Pierre Bourdieu’s social theory of practice ...
Ai-Bin, Lin Shengai
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