Results 21 to 30 of about 28,200 (255)
Some Krasnonsel'skiĭ-Mann Algorithms and the Multiple-Set Split Feasibility Problem
Fixed Point Theory and Applications, 2010 Some variable Krasnonsel'skiĭ-Mann iteration algorithms generate some sequences , , and , respectively, via the formula , , , where and the mod function takes values in , , , and are sequences in and are sequences of nonexpansive ...
Huimin He +2 more
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Iterative Algorithms for the Split Problem and Its Convergence Analysis
Abstract and Applied Analysis, 2014 Now, it is known that the split common fixed point problem is a generalization of the split feasibility problem and of the convex feasibility problem. In this paper, the split common fixed point problem associated with the pseudocontractions is studied ...
Zhangsong Yao +3 more
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Mathematical Modelling and Analysis, 2012 The split common fixed point problem has been investigated recently, which is a generalization of the split feasibility problem and of the convex feasibility problem.
Yu-Chao Tang, Ji-Gen Peng, Li-Wei Liu
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An inertial extrapolation method for multiple-set split feasibility problem
Journal of Inequalities and Applications, 2020 In this paper, we propose an iterative algorithm with inertial extrapolation to approximate the solution of multiple-set split feasibility problem. Based on Lopez et al. (Inverse Probl.
Guash Haile Taddele +2 more
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An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets
Journal of Mathematics, 2021 The paper proposes an inertial accelerated algorithm for solving split feasibility problem with multiple output sets. To improve the feasibility, the algorithm involves computing of projections onto relaxed sets (half spaces) instead of computing onto ...
Huijuan Jia, Shufen Liu, Yazheng Dang
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An intermixed iteration for constrained convex minimization problem and split feasibility problem
Journal of Inequalities and Applications, 2019 In this paper, we first introduce the two-step intermixed iteration for finding the common solution of a constrained convex minimization problem, and also we prove a strong convergence theorem for the intermixed algorithm.
Kanyanee Saechou, Atid Kangtunyakarn
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Modified Inertial Algorithms for a Class of Split Feasibility Problems and Fixed Point Problems in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this work, we introduce an iterative algorithm for solving the split feasibility problem on zeros of the sum of monotone operators and fixed point sets and also solving the fixed point problem of a nonexpansive mapping.
Montira Suwannaprapa
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Journal of Inequalities and Applications, 2021 The multiple-sets split feasibility problem is the generalization of split feasibility problem, which has been widely used in fuzzy image reconstruction and sparse signal processing systems.
Wenting Chen, Meixia Li
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The Split Feasibility Problem and Its Solution Algorithm
Mathematical Problems in Engineering, 2018 The split feasibility problem arises in many fields in the real world, such as signal processing, image reconstruction, and medical care. In this paper, we present a solution algorithm called memory gradient projection method for solving the split feasibility problem, which employs a parameter and two previous iterations to get the next iteration, and ...
Biao Qu, Binghua Liu
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Non-Convex Split Feasibility Problems: Models, Algorithms and Theory [PDF]
Open Journal of Mathematical Optimization, 2020 In this paper, we propose a catalog of iterative methods for solving the Split Feasibility Problem in the non-convex setting. We study four different optimization formulations of the problem, where each model has advantages in different settings of the problem. For each model, we study relevant iterative algorithms, some of which are well-known in this
Gibali, Aviv +2 more
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