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Lipschitz continuous
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The paper shows the existence and uniqueness of the solution of this equation. The author also studies the moment stability of the solution. The main result of the paper shows the existence and uniqueness of the invariant measure of the solution.
7p
viplato
02-01-2024
4
2
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In this paper, we introduce a tamed-adaptive Euler-Maruyama approximation scheme for stochastic differential equations with Markovian switching. We show that the scheme converges in L 1 -norm when applying for SDEs with locally Lipschitz continuous drift and locally Holder continuous diffusion.
21p
visharma
20-10-2023
6
2
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In this paper, we introduce a modified algorithm for pseudomono- tone variational inequalities. This problem has many important applications in different fields such as optimization problem, Nash equilibrium problem, game theory, traffic equilibrium problem, fixed point problem.
8p
viironman
02-06-2023
5
2
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In this paper, we introduce two projection algorithms for solving strongly pseudomonotone variational inequalities. The considered methods are based on some existing ones. Our algorithms use dynamic step-sizes, chosen based on information of previous steps and their strong convergence is proved without the Lipschitz continuity of the underlying mappings.
8p
viharry
15-12-2022
8
2
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In this paper, we introduce a new approximate projection algorithm for finding a common solution of multivalued variational inequality problems and fixed point problems in a real Hilbert space. The proposed algorithm combines the approximate projection method with the Halpern iteration technique. The strongly convergent theorem is established under mild conditions.
7p
viharry
15-12-2022
15
2
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In this paper, we discuss several extragradient-like algorithms for solving variational inequalities over the fixed point set of a nonexpansive mapping. The considered methods are based on some existing ones.
9p
vimelindagates
18-07-2022
7
3
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In this paper, we consider an explicit method that is strong convergence in an infinite-dimensional Hilbert space and a simple variant of the hybrid steepest-descent method, introduced by Yamada. The strong convergence of this method is proved under some mild conditions. Finally, we give an application for the optimization problem and present some numerical experiments to illustrate the effectiveness of the proposed algorithm.
8p
spiritedaway36
28-11-2021
8
1
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In this paper, we propose an extension of the parameter continuation method for solving operator equations of the second kind. By splitting of the operator into a sum of two operators: one monotone, Lipschitz-continuous and one contractive, the applicability of the method is broader. The suitability of the proposed approach is presented through an example.
9p
viaespa2711
31-07-2021
22
1
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Equilibrium problems appear frequently in many practical problems arising from, for instance, physics, engineering, game theory, transportation, economics and network. They have become an attractive field for many researchers in both theory and applications. The paper concerns with some methods for finding an approximate solution of equilibrium problems.
6p
vioregon2711
19-02-2021
9
1
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Bài giảng "Tối ưu hóa nâng cao - Chương 7: Subgradient method" cung cấp cho người học các kiến thức: Last last time - gradient descent, subgradient method, step size choices, convergence analysis, lipschitz continuity, convergence analysis - Proof,... Mời các bạn cùng tham khảo.
34p
abcxyz123_08
11-04-2020
24
2
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In the present paper, we study some approximation properties of the Szasz type operators involving Charlier polynomials introduced by Varma and Tasdelen in 2012. First, we establish approximation in a Lipschitz type space and weighted approximation theorems for these operators.
14p
danhdanh27
07-01-2019
13
2
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The concern of this paper is to obtain the rate of convergence in terms of the partial and complete modulus of continuity and the degree of approximation by means of Lipschitz-type class for the bivariate operators.
18p
danhdanh27
07-01-2019
26
1
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PERIODIC BOUNDARY VALUE PROBLEMS ON TIME SCALES ´ PETR STEHLIK Received 20 April 2004 We extend the results concerning periodic boundary value problems from the continuous calculus to time scales. First we use the Schauder fixed point theorem and the concept of lower and upper solutions to prove the existence of the solutions and then we investigate a monotone iterative method which could generate some of them. Since this method does not work on each time scale, a condition containing a Lipschitz constant of right-hand side function and the supremum of the graininess function is introduced.
12p
sting12
10-03-2012
47
6
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