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Stochastic Primal Dual Fixed Point Method for Composite Optimization
Journal of Scientific Computing, 2020In 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
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Relaxed inertial Tseng extragradient method for variational inequality and fixed point problems
Applicable Analysis, 2022In 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 +3 more
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Fixed-Point Methods in Nonlinear Control
IMA Journal of Mathematical Control and Information, 1988Using 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
N. Carmichael, M. D. Quinn
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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
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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
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A modified fixed point iteration method for solving the system of absolute value equations
Optimization, 2020The 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
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