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Weak convergence of tamed exponential integrators for stochastic differential equations
We prove weak convergence of order one for a class of exponential based integrators for SDEs with non-globally Lipschitz drift. Our analysis covers...
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Weak Convergence of DTSMRE in Series Scheme
This chapter presents the weak convergence results of random evolutions in different schemes: averaging, diffusion approximation, normal deviations,...
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Forward–Reflected–Backward Splitting Algorithms with Momentum: Weak, Linear and Strong Convergence Results
This paper studies the forward–reflected–backward splitting algorithm with momentum terms for monotone inclusion problem of the sum of a maximal...
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Operator Approach to Weak Convergence of Measures and Limit Theorems for Random Operators
AbstractThe generalized weak convergence of a sequence of measures is induced by the convergence of the linear operators generated by the measures. A...
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Weak convergence of the conditional U-statistics for locally stationary functional time series
In recent years, the direction has turned to non-stationary time series. Here the situation is more complicated: it is often unclear how to set down...
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Existence of renormalized solutions for nonlocal thermistor problem via weak convergence of truncations
A thermistor is an electric circuit device made of ceramic material whose electric conductivity depends on the temperature. The mathematical model of...
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On the Existence of Global Weak Solutions to the 3D Electrically Conductive Rosensweig System and Their Convergence Towards Quasi-Equilibrium
In this article, we study an electrically conductive Rosensweig model for ferrofluids, whose Bloch–Torrey regularization was studied by Hamdache and...
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Weak-convergence of empirical conditional processes and conditional U-processes involving functional mixing data
U -statistics represent a fundamental class of statistics arising from modeling quantities of interest defined by multi-subject responses. U -statistics...
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On the weak and strong convergence of modified forward-backward-half-forward splitting methods
This paper investigates two modified forward-backward-half-forward splitting methods for solving three-operator monotone inclusion problems. The...
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Approximations of Quasi-Equilibria and Nash Quasi-Equilibria in Terms of Variational Convergence
Various types of variational convergence of functions and bifunctions are applied to study global approximations of a quasi-equilibrium problem and a...
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On the Existence of Solutions for Weak Nonlinear Bilevel Optimization Problems
In this paper, we are concerned with a weak (pessimistic) nonlinear bilevel optimization problem. In a sequential setting, for such a problem, we...
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On the Weak Laws of Large Numbers for Compound Random Sums of Independent Random Variables with Convergence Rates
The weak laws of large numbers are extremely intuitive and applicable results in various fields of probability theory and mathematical statistics....
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Convergence of Estimators
Chapter 16 discusses asymptotic theories which are often required to guarantee good properties of...
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Representative Functions, Variational Convergence and Almost Convexity
We develop a new epi-convergence based on the use of bounded convergent nets on the product topology of the strong topology on the primal space and...
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Global Approximations of Vector Optimization Problems in Terms of Variational Convergence
Global approximations of scalar optimization problems in terms of variational convergence have been studied for several decades. However, there are...
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On convergence of infinite products of convex combinations of map**s in CAT(0) spaces
We study the weak convergence of infinite products of convex combinations of operators in complete CAT(0) spaces. We provide a new approach to this...
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Global convergence of a BFGS-type algorithm for nonconvex multiobjective optimization problems
We propose a modified BFGS algorithm for multiobjective optimization problems with global convergence, even in the absence of convexity assumptions...
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On the Weak Second-order Optimality Condition for Nonlinear Semidefinite and Second-order Cone Programming
Second-order necessary optimality conditions for nonlinear conic programming problems that depend on a single Lagrange multiplier are usually built...
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Convergence of Random Fuzzy Sets
As in Chapter 5, we view random fuzzy sets as generalizations of random closed sets on R d , or more generally on...