Results 281 to 290 of about 31,101 (332)
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The topology on the space of measurable functions that is compatible with convergence in nonadditive measure

Fuzzy Sets and Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Borkar and Young Relaxed Control Topologies and Continuous Dependence of Invariant Measures on Control Policy

SIAM Journal of Control and Optimization, 2023
In deterministic and stochastic control theory, relaxed or randomized control policies allow for versatile mathematical analysis (on continuity, compactness, convexity and approximations) to be applicable with no artificial restrictions on the classes of
S. Yüksel
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Fundamental convergence of sequences of measurable functions on fuzzy measure space

Fuzzy Sets and Systems, 1998
A fuzzy measure is considered as a monotone, continuous (from above and from below) extended real-valued function \(m\) defined on a \(\sigma\)-algebra such that \(m(\emptyset)=0\). It is said to be asymptotically null-additive, if \(m(A_n\cup B_m) \to 0\) \((n\to \infty,\;m\to \infty)\) whenever \(m(A_n) \to 0\) and \(m(B_m)\to 0\).
Minghu Ha 0001, Xizhao Wang, Congxin Wu
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A METRIC ON SPACE OF MEASURABLE FUNCTIONS AND THE RELATED CONVERGENCE

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2012
A new metric is proposed on the space of measurable functions in the setting of non-additive measure theory. The convergence induced from the metric can be used to describe the convergence in measure for sequences of measurable functions. Furthermore, the space of measurable functions is complete under the metric.
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On Symmetric Spaces With Convergence in Measure on Reflexive Subspaces

Russian Mathematics, 2018
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Astashkin, S. V., Strakhov, S. I.
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Transport Equation with Nonlocal Velocity in Wasserstein Spaces: Convergence of Numerical Schemes

Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, 2011
Motivated by pedestrian modelling, we study evolution of measures in the Wasserstein space. In particular, we consider the Cauchy problem for a transport equation, where the velocity field depends on the measure itself. We deal with numerical schemes for
B. Piccoli, Francesco Rossi
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The pseudo-convergence of measurable functions on set-valued fuzzy measure space

Soft Computing, 2017
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Jianrong Wu, Xiao Ni Geng
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On Weak Convergence of Probability Measures in a Banach Space

Journal of Mathematical Sciences, 2002
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On the Weak Convergence of Probability Measures in Orlicz Spaces

Theory of Probability & Its Applications, 1996
Necessary and sufficient conditions for weak convergence of probability measures in separable Orlicz spaces in terms of characteristic functionals and norm moments are given.
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Convergence of metric-measure spaces

2009
The central question in this chapter is the following:What does it mean to say that a metric-measure space (X, d x , vx ) is “close” to another metric-measure space (Y, d y , vy )? We would like to have an answer that is as “intrinsic” as possible, in the sense that it should depend only on the metric-measure properties of X and Y.
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