Results 101 to 110 of about 249 (128)

Ergodic theorems for contractions in Orlicz-Kantorovich lattices

Siberian Mathematical Journal, 2009
We obtain some versions of ergodic theorems for positive contractions in the Orlicz-Kantorovich lattices L M (m) associated with a measure m taking values in the algebra of measurable real functions. The proof is carried out by representing L M (m) as measurable bundles of classical Orlicz function spaces.
B. S. Zakirov, V. I. Chilin
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Kantorovich’s Theorem on Mann’s Iteration Method in Riemannian Manifold

Acta Mathematica Vietnamica
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Babita Mehta, P. K. Parida, Sapan Kumar Nayak   +2 more
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Kantorovich’s Fixed Point Theorem in Metric Spaces and Coincidence Points

Proceedings of the Steklov Institute of Mathematics, 2019
The authors prove existence and uniqueness of fixed points of a self-mapping on a complete metric space, generalizing and improving the well-known Kantorovich's fixed point theorem in the setting of Banach spaces. Besides of a standard self-mapping, the authors also obtain coincidence point theorems for set-valued mappings on metric spaces.
Arutyunov A.V., Zhukovskiy E.S., Zhukovskiy S.E.   +2 more
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Glivenko–Cantelli Theorem and Bernstein–Kantorovich Invariance Principle

2012
This chapter begins with an application of the theory of probability metrics to the problem of convergence of the empirical probability measure.
Svetlozar T. Rachev, Lev B. Klebanov, Stoyan V. Stoyanov, Frank J. Fabozzi   +3 more
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A kantorovich-type theorem for inexact newton methods

Numerical Functional Analysis and Optimization, 1989
Under Kantorovich-type assumptions, a general convergence theorem for inexact Newton methods (i.e., iterative procedures in which the Newton equations are solved approximately) is given. The results cover several situations already considered in the literature.
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A Comparison of the Existence Theorems of Kantorovich and Moore

SIAM Journal on Numerical Analysis, 1980
In order to be useful, an approximate solution y of a nonlinear system of equations $f(x) = 0$ in $R^n $ must be close to a solution $x^ * $ of the system. Two theorems which can be used computationally to establish the existence of $x^ * $ and obtain bounds for the error vector $y - x^ * $ are the 1948 result of L. V. Kantorovich and the 1977 interval
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Error bounds for Newton’s process derived from the Kantorovich theorem

Japan Journal of Applied Mathematics, 1985
The well-known Kantorovich theorem, concerning the existence and uniqueness of a solution \(x^*\) of a nonlinear equation in a Banach space as well as the convergence of the Newton process to this solution, gives also an estimate for the error of the n-th iterate \(x_ n\), i.e. for the quantity \(\| x*-x_ n\|\).
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On the Monge - Kantorovich duality theorem

Теория вероятностей и ее применения, 2000
Doraiswamy Ramachandran, Doraiswamy Ramachandran, Ludger Ruschendorf, Ludger Ruschendorf   +3 more
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On the existence theorems of Kantorovich, Miranda and Borsuk

2004
The theorems of Kantorovich, Miranda and Borsuk all give conditions on the existence of a zero of a nonlinear mapping. The authors concern themselves with relations between these theorems in terms of generality in the case that the mapping is finite-dimensional.
Alefeld, Götz, Frommer, A., Heindl, G., Mayer, G.   +3 more
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Multidimensional Kantorovich modifications of exponential sampling series

Quaestiones Mathematicae, 2023
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