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Published in 2019 at "Journal of Global Optimization"
DOI: 10.1007/s10898-018-00735-0
Abstract: In this paper we propose an algorithm for solving the split feasibility problem $$x\in C, Ax\in Q$$x∈C,Ax∈Q with C being the solution set of an equilibrium problem and A can be nonlinear. The proposed algorithm…
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Keywords:
split feasibility;
equilibrium;
jointly constrained;
constrained nash ... See more keywords
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Published in 2019 at "Numerical Algorithms"
DOI: 10.1007/s11075-019-00790-y
Abstract: In this work, based on the gradient method and the relaxed CQ algorithm introduced by López et al. (Inverse Probl. 28 , 085004, 2012 ), we introduce two gradient-CQ algorithms for solving the split feasibility…
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Keywords:
feasibility problem;
gradient algorithms;
split feasibility;
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Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-017-0435-z
Abstract: In this paper, we present a proximal split feasibility algorithm with an additional inertial extrapolation term for solving a proximal split feasibility problem under weaker conditions on the step sizes. The two convex and lower…
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Keywords:
split feasibility;
inertial extrapolation;
proximal split;
split ... See more keywords
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Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-018-0614-0
Abstract: In this paper, we propose a CQ-type algorithm for solving the split feasibility problem (SFP) in real Hilbert spaces. The algorithm is designed such that the step-sizes are directly computed at each iteration. We will…
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Keywords:
split feasibility;
new algorithm;
hilbert spaces;
algorithm solving ... See more keywords
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Published in 2019 at "Optimization"
DOI: 10.1080/02331934.2019.1602772
Abstract: ABSTRACT In this paper, we present two new iterative algorithms for approximating a solution of the multiple-sets split feasibility problem. The suggested algorithms are based on the gradient method with selection technique. Weak and strong…
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Keywords:
selection technique;
split feasibility;
feasibility problem;
sets split ... See more keywords
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Published in 2021 at "Asian-European Journal of Mathematics"
DOI: 10.1142/s1793557122501066
Abstract: In this paper, we propose a new modified relaxed inertial regularization method for finding a common solution of a generalized split feasibility problem, the zeros of sum of maximal monotone operators, and fixed point problem…
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Keywords:
real hilbert;
split feasibility;
hilbert spaces;
method ... See more keywords
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Published in 2021 at "Journal of Mathematics"
DOI: 10.1155/2021/6624509
Abstract: The split feasibility problem has received much attention due to its various applications in signal processing and image reconstruction. In this paper, we propose two inertial relaxed algorithms for solving the split feasibility problem in…
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Keywords:
split feasibility;
algorithms solving;
inertial relaxed;
solving split ... See more keywords
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Published in 2023 at "Journal of Mathematics"
DOI: 10.1155/2023/4934575
Abstract: The split feasibility problem (SFP) in Hilbert spaces is addressed in this study using an efficient iterative approach. Under mild conditions, we prove convergence theorems for the algorithm for finding a solution to the SFP.…
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Keywords:
image deblurring;
feasibility problem;
efficient iterative;
deblurring signal ... See more keywords
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Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2030-x
Abstract: In this paper, we first introduce a new algorithm which involves projecting each iteration to solve a split feasibility problem with paramonotone equilibria and using unconstrained convex optimization. The strong convergence of the proposed algorithm…
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Keywords:
convex optimization;
split feasibility;
optimization;
paramonotone equilibria ... See more keywords
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Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2222-4
Abstract: 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. By using…
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Keywords:
intermixed iteration;
minimization problem;
split feasibility;
convex minimization ... See more keywords
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Published in 2020 at "Mathematics"
DOI: 10.3390/math8060892
Abstract: 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. As applications, new strong convergence theorems for equilibrium problems, fixed…
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Keywords:
split feasibility;
convergence theorems;
banach spaces;
generalized split ... See more keywords