Lipschitz Continuous
GNM ordered variational inequality system with ordered Lipschitz continuous mappings in an ordered Banach space
... which is called a generalized nonlinear mixed ordered variational inequality system (GNM ordered variational inequality system) with ordered Lipschitz continuous mappings in an ordered Banach space. ...
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Self adaptive iterative method for solving boundedly Lipschitz continuous and strongly monotone variational inequalities
... with Lipschitz continuous and strongly monotone VIPs in real Hilbert spaces, see the relaxed projection methods of He and Yang [19] and He and Tian ...For Lipschitz continuous and mono- tone ...
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On Lipschitz Continuous Optimal Stopping Boundaries
... approaches ranging from probability to analysis. Early contributions to the topic were made in [22], [26], and [37], among others. In [22] and [37] it was proven that the free-boundary b is differentiable in the open ...
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Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients
... Having established the strong convergence result we will proceed to the stability analysis of the under- lying numerical scheme for the non-linear SDEs (1.1) under the monotone-type condition. The main problem concerns ...
21
On Convergence of Quadrature Methods for the Lipschitz-Continuous Functions
... Abstract. In this article we present a new approach to quadrature methods where any quadrature formula is generated by a discontinuous function whose jumps are quadrature weights. The quadrature error is estimated for ...
11
The Lévy–Khintchine type operators with variable Lipschitz continuous coefficients generate linear or nonlinear Markov processes and semigroups
... natural Lipschitz continuous depen- dence of the coefficients G, b, ν on x, µ with measures equipped with their Wasserstein metric (see the definition ...
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Strong convergence rates for backward Euler–Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients
... Having established the strong convergence result we will proceed to the stability analysis of the under- lying numerical scheme for the non-linear SDEs (1.1) under the monotone-type condition. The main problem concerns ...
21
An existence uniqueness theorem and alternating contraction projection methods for inverse variational inequalities
... Theorem 3.1 Let C be a nonempty closed convex subset of a real Hilbert space H, and let F : C → H be a Lipschitz continuous and strongly monotone operator. Then the variational inequality VI(C, F) has a ...
19
Stabilisation and destabilisation of nonlinear differential equations by noise
... locally Lipschitz continuous function g : R d → R d×r with g(0) = 0 (we may have to choose r = d when d is odd) such that, for every ξ ∈ R d , the unique continuous adapted process X which ...
19
An Implicit Iteration Method for Variational Inequalities over the Set of Common Fixed Points for a Finite Family of Nonexpansive Mappings in Hilbert Spaces
... We introduce a new implicit iteration method for finding a solution for a variational inequality involving Lipschitz continuous and strongly monotone mapping over the set of common fixed[r] ...
10
Lifted Proximal Operator Machines
... In this work we have proposed LPOM to train fully connected feed-forward neural networks. Using the proximal operator, LPOM transforms the neural network into a new block multi- convex model. The transformation works for ...
8
Sharp bounds for the Jensen divergence with applications
... absolutely continuous, Lipschitz continuous, convex functions and differentiable functions whose derivatives enjoy various prop- erties as mentioned ...
23
A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space
... Recently, common solution problems (i.e., to find a common element of the set of solutions of equilibrium problems and/or the set of fixed points of mappings and/or the set of solutions of variational inequalities) with ...
13
Strong convergence of a hybrid method for monotone variational inequalities and fixed point problems
... In this paper, we suggest a hybrid method for finding a common element of the set of solution of a monotone, Lipschitz-continuous variational inequality problem and the set of common fixed points of an ...
10
The Inertial Manifold for Class Kirchhoff Type Equations with Strongly Damped Terms and Source Terms
... In this paper, we study the inertial manifolds for a class of the Kirchhoff-type equations with strongly damped terms and source terms. The inertial mani- fold is a finite dimensional invariant smooth manifold that ...
8
Population dynamical behavior of Lotka-Volterra system under regime switching
... time t, it should be nonnegative. Moreover, in order for a stochastic differential equation with Markovian switching to have a unique global (i.e. no explosion in a finite time) solution for any given initial data, the ...
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Wasserstein Generative Adversarial Privacy Networks
... the output of the privatiser is continuously distributed with a Lipschitz continuous probability density function, then we can, under a few more conditions, achieve bounds on the amount [r] ...
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A novel expected hypervolume improvement algorithm for Lipschitz multi-objective optimisation: Almost Shubert's Algorithm in a special case
... with Lipschitz objective functions on a d-dimensional hyper-rectangular decision ...natural Lipschitz lower bound that is iteratively ...n Lipschitz continuous functions on d-dimensional ...
5
Higher-order Lipschitz mappings
... even continuous) in ( X , d) as was noted in the introduction; rather, T is Lipschitz continuous (and therefore uniformly continuous) in (X , ...is continuous in (X, d); however, the ...
18
Strong completeness for a class of stochastic differential equations with irregular coefficients
... the mild growth conditions in [10], [23], [35] for the SDEs with locally Lispchitz contin- uous coefficients. In this paper we are specially interested in SDEs whose coefficients are not locally Lipschitz ...
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