Results 271 to 280 of about 2,962,665 (347)

Stochastic Primal Dual Fixed Point Method for Composite Optimization

Journal of Scientific Computing, 2020
In this paper we propose a stochastic primal dual fixed point method for solving the sum of two proper lower semi-continuous convex function and one of which is composite. The method is based on the primal dual fixed point method proposed in Chen et al. (
Ya-Nan Zhu, Xiaoqun Zhang
semanticscholar   +1 more source

Fixed Point Method

, 2013
S. Brzychczy, R. Poznanski
semanticscholar   +2 more sources

Relaxed inertial Tseng extragradient method for variational inequality and fixed point problems

Applicable Analysis, 2022
In this paper, we introduce a new relaxed inertial Tseng extragradient method with self-adaptive step size for approximating common solutions of monotone variational inequality and fixed point problems of quasi-pseudo-contraction mappings in real Hilbert
E. C. Godwin, T. O. Alakoya, O. Mewomo, Jen-Chih Yao   +3 more
semanticscholar   +1 more source

Fixed-Point Methods in Nonlinear Control

IMA Journal of Mathematical Control and Information, 1988
Using the fixed point approach many different problems in control theory are studied. Several results concerning controllability, observability, parameter estimation and adaptive regulation for the so called ``semilinear'' dynamical systems are presented. All the results described make use of the various types of fixed point theorems. The importance of
Carmichael, N., Quinn, M. D.
openaire   +2 more sources

Modified inertial subgradient extragradient method with self adaptive stepsize for solving monotone variational inequality and fixed point problems

Optimization, 2020
In this paper, we study a classical monotone and Lipschitz continuous variational inequality and fixed point problems defined on a level set of a convex function in the setting of Hilbert space.
T. O. Alakoya, L. Jolaoso, O. Mewomo
semanticscholar   +1 more source

A modified fixed point iteration method for solving the system of absolute value equations

Optimization, 2020
The fixed point iteration (FPI) method proposed by Ke [Appl Math Lett. 2020;99:105990] for solving the absolute value equations (AVE) with the form is interesting for its simplicity and efficiency. However, its convergence is only guaranteed for the case
D. Yu, Cairong Chen, Deren Han
semanticscholar   +1 more source

Fixed-point Methods

1998
In this somewhat technical section we look at the theory of fibrewise ENRs and ANRs. The results are mostly due to Dold [47]. Our restriction to base spaces which are ENRs allows us to simplify the exposition at several points. We begin with a discussion of some of the properties of ENRs and ANRs which we have already used in earlier sections.
Michael Charles Crabb, Ioan Mackenzie James   +1 more
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Fixed-Point Quasi-Newton Methods

SIAM Journal on Numerical Analysis, 1992
This paper studies iterative methods of the form (1) \(x_{k+1}=\Phi(x_ k,E_ k)\) where \(x_ k\in\mathbb{R}^ n\), and \(E_ k\) belongs to some parameter space. Three examples of methods which may be written in this form are given, namely quasi-Newton methods for nonlinear systems, sequential quadratic programming and nonlinear complementarity.
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An efficient iterative method for finding common fixed point and variational inequalities in Hilbert spaces

Optimization, 2018
In this paper, we investigate the problem of finding a common solution to a fixed point problem involving demi-contractive operator and a variational inequality with monotone and Lipschitz continuous mapping in real Hilbert spaces.
A. Gibali, Y. Shehu
semanticscholar   +1 more source