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Gradient projection method with a new step size for the split feasibility problem [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we introduce an iterative scheme using the gradient projection method with a new step size, which is not depend on the related matrix inverses and the largest eigenvalue (or the spectral radius of the self-adjoint operator) of the related ...
Pattanapong Tianchai
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An algorithm for the split-feasibility problems with application to the split-equality problem [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we study the split-feasibility problem in Hilbert spaces by using the projected reflected gradient algorithm. As applications, we study the convex linear inverse problem and the split-equality problem in Hilbert spaces, and we give new ...
Chih-Sheng Chuang, Chi-Ming Chen
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Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces [PDF]
Journal of Inequalities and Applications, 2016 In this paper, we propose several new iterative algorithms to solve the split feasibility problem in the Hilbert spaces. By virtue of new analytical techniques, we prove that the iterative sequence generated by these iterative procedures converges to the
Yuchao Tang, Liwei Liu
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An Improved Alternating CQ Algorithm for Solving Split Equality Problems
Mathematics, 2021 The CQ algorithm is widely used in the scientific field and has a significant impact on phase retrieval, medical image reconstruction, signal processing, etc.
Yan-Juan He, Li-Jun Zhu, Nan-Nan Tan
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The Ball-Relaxed Gradient-Projection Algorithm for Split Feasibility Problem
Journal of Function Spaces, 2022 In this paper, we concern with the split feasibility problem (SFP) whenever the convex sets involved are composed of level sets. By applying Gradient-projection algorithm which is used to solve constrained convex minimization problem of a real valued ...
Xiaochun Li, Xiaoxiao Liu, Fugen Gao
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Strong Convergence on the Split Feasibility Problem by Mixing W-Mapping
Journal of Mathematics, 2021 In this paper, we concern with the split feasibility problem (SFP) in real Hilbert space whenever the sets involved are nonempty, closed, and convex. By mixing W-mapping with the viscosity, we introduce a new iterative algorithm for solving the split ...
Fugen Gao, Xiaoxiao Liu, Xiaochun Li
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Journal of Inequalities and Applications, 2021 In this paper, we propose a new iterative algorithm for solving the multiple-sets split feasibility problem (MSSFP for short) and the split equality fixed point problem (SEFPP for short) with firmly quasi-nonexpansive operators or nonexpansive operators ...
Tongxin Xu, Luoyi Shi
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Relaxed alternating CQ algorithms for the split equality problem in Hilbert spaces
Journal of Inequalities and Applications, 2018 In this paper, we are concerned with the split equality problem (SEP) in Hilbert spaces. By converting it to a coupled fixed-point equation, we propose a new algorithm for solving the SEP.
Hai Yu, Fenghui Wang
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Hybrid simultaneous algorithms for the split equality problem with applications
Journal of Inequalities and Applications, 2016 The split equality problem has board applications in many areas of applied mathematics. Many researchers studied this problem and proposed various algorithms to solve it.
Chih-Sheng Chuang, Wei-Shih Du
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Strong Convergence Theorems for Generalized Split Feasibility Problems in Banach Spaces
Mathematics, 2020 In this paper, we establish new strong convergence theorems of proposed algorithms under suitable new conditions for the generalized split feasibility problem in Banach spaces.
Xuejiao Zi, Zhaoli Ma, Wei-Shih Du
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