Results 21 to 30 of about 28,434 (218)
Mathematics, 2019 The aim of this paper is to introduce a modified viscosity iterative method to approximate a solution of the split variational inclusion problem and fixed point problem for a uniformly continuous multivalued total asymptotically strictly ...
Mujahid Abbas +3 more
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Modified Proximal Algorithms for Finding Solutions of the Split Variational Inclusions
Mathematics, 2019 We investigate the split variational inclusion problem in Hilbert spaces. We propose efficient algorithms in which, in each iteration, the stepsize is chosen self-adaptive, and proves weak and strong convergence theorems. We provide numerical experiments
Suthep Suantai +2 more
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Iterative approximation of solution of split variational inclusion problem
Filomat, 2018 Following recent important results of Moudafi [Journal of Optimization Theory and Applications 150(2011), 275-283] and other related results on variational problems, we introduce a new iterative algorithm for approximating a solution of monotone variational inclusion problem involving multi-valued mapping.
Ezeora, Jeremiah Nkwegu +1 more
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Approximation of Solutions of Split Monotone variational Inclusion Problems and Fixed Point Problems
Pan-American Journal of Mathematics, 2022 Abstract Many researchers have incorporated an inertial term and will continue to involve it in iterative algorithms due to the fact that it speeds up the rate of convergence which is desirable in applications. In this paper, we propose a new inertial extrapolation algorithm for solving split monotone variational inclusion problem which turns ...
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Self-adaptive methods for solving split problems of variational inclusion [PDF]
, 2020 In this paper, we study the weak convergence of the algorithms for solving variational inclusion problems without using Lipschitz condition of the inverse strongly monotone operator in real Hilbert spaces. The algorithms are inspired by Tseng’s modied forward-backward splitting method [4](SIAM J Control Optim 38,431-446(2000))with a simple step size ...
Xiaojun Ma, Zhifu Jia
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Parallel extragradient-proximal methods for split equilibrium problems [PDF]
, 2015 In this paper, we introduce two parallel extragradient-proximal methods for solving split equilibrium problems. The algorithms combine the extragradient method, the proximal method and the hybrid (outer approximation) method.
Van Hieu, Dang
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Weak and strong convergence of inertial algorithms for solving split common fixed point problems
Journal of Inequalities and Applications, 2021 In this paper, we propose two iterative schemes for approximating solutions of split common fixed point problems in multiple linear operators case. The first algorithm implements the Krasnosel’skiĭ–Mann iteration with an inertial effect for which the ...
Hong-Yi Chen
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Demonstratio Mathematica, 2022 In this paper, we propose and study a new inertial iterative algorithm with self-adaptive step size for approximating a common solution of finite family of split monotone variational inclusion problems and fixed point problem of a nonexpansive mapping ...
Ogwo Grace N. +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2023 In this paper, a new accelerated extrapolation Krasnoselski-Mann type algorithm for finding common element in the solution set of the hierarchical fixed point and split monotone variational inclusion problems are introduced in the setting of a real ...
G.C. Ugwunnadi, L.Y. Haruna, M.H. Harbau
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Generalized split null point of sum of monotone operators in Hilbert spaces
Demonstratio Mathematica, 2021 In this paper, we introduce a new type of a generalized split monotone variational inclusion (GSMVI) problem in the framework of real Hilbert spaces. By incorporating an inertial extrapolation method and an Halpern iterative technique, we establish a ...
Mebawondu Akindele A. +4 more
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