Results 221 to 230 of about 39,209 (265)

ANALYSIS ON FRACTALS IN FUZZY METRIC SPACES

Fractals, 2011
In this paper, we investigate the fractals generated by the iterated function system of fuzzy contractions in the fuzzy metric spaces by generalizing the Hutchinson-Barnsley theory. We prove some existence and uniqueness theorems of fractals in the standard fuzzy metric spaces by using the fuzzy Banach contraction theorem.
Easwaramoorthy, D., Uthayakumar, R.
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Numerical analysis of Mahalanobis metric in vector space

2008 19th International Conference on Pattern Recognition, 2008
The Mahalanobis metric was proposed by extending the Mahalanobis distance to provide a probabilistic distance for a non-normal distribution. The Mahalanobis metric equation is a nonlinear second order differential equation derived from the equation of geometrically local isotropic independence, which is proposed to define normal distributions in a ...
Joken Son, Naoya Inoue, Yukihiko Yamashita   +2 more
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Topics on Analysis in Metric Spaces

2003
Abstract Based on lecture notes from the Scuola Normale this book presents the main mathematical prerequisites for analysis in metric spaces. Supplemented with exercises of varying difficulty it is ideal for a graduate-level short course for applied mathematicians and engineers. The book covers abstract measure theory, Hausdorff measures,
AMBROSIO, Luigi, TILLI P.
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Analysis of Metric Spaces

2012
Metric spaces were introduced and studied by the French mathematician, Maurice Rene Frechet (in his doctoral dissertation published in 1906), and developed later by the German Felix Hausdorff (in his 1914 book Grundzuge der Mengenlehre). It was apparent that to the end of the nineteenth century the mathematical world (partly inspired by Cantor’s ...
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Towards variational analysis in metric spaces: metric regularity and fixed points

Mathematical Programming, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Selected Topics in Analysis on Metric Spaces

2011
We will present several topics in the field which are related to the main problems studied in the book. Because of diversity of methods and results involved in this study the chapter may be seen as a rather satisfactory introduction to Analysis on Metric Spaces.
Alexander Brudnyi, Yuri Brudnyi
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Analysis on Ultra-Metric Spaces via Heat Kernels

p-Adic Numbers, Ultrametric Analysis and Applications, 2023
The classical Laplace operator \(\Delta=\sum_{i=1}^n\frac{\partial^2}{\partial x^2_i}\) on \(\mathbb{R}^n\) is associated with the Dirichlet integral by the Green formula. It is known that \(-\Delta\) is a non-negative definite self-adjoint operator on \(L^2(\mathbb{R}^n)\).
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The structural clustering and analysis of metric based on granular space

Pattern Recognition, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xuqing Tang, Ping Zhu, Jia-Xing Cheng
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Variational Principles in Analysis and Existence of Minimizers for Functions on Metric Spaces

SIAM Journal on Optimization, 2019
Let \((X,\rho)\) be a complete metric space and \(\mathcal{K}\) the set of all increasing functions \(k:]0,\infty[\longrightarrow]0,\infty[\) such that \(\frac{1}{k}\) is summable in a neighborhood of zero and let \(U:X\longrightarrow\mathbb{R}\bigcup\left\{+\infty\right\}\) be a semicontinuous function bounded from below by a given \(\gamma\in\mathbb ...
Aram V. Arutyunov, Sergey E. Zhukovskiy
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Metric Spaces and Related Analysis

2023
Subiman Kundu, Manisha Aggarwal
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