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Generalized Split Feasibility Problem: Solution by Iteration
Carpathian Journal of MathematicsIn real Hilbert spaces, given a single-valued Lipschitz continuous and monotone operator, we study generalized split feasibility problem (GSFP) over solution set of monotone variational inclusion problem. An inertia iterative method is proposed to solve this problem, by showing that the sequence generated by the iteration converges strongly to ...
Enyi, Cyril Dennis +4 more
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Optimization for Inconsistent Split Feasibility Problems
Numerical Functional Analysis and Optimization, 2016ABSTRACTThe split feasibility problem deals with finding a point in a closed convex subset of the domain space of a linear operator such that the image of the point under the linear operator is in a prescribed closed convex subset of the image space. The split feasibility problem and its variants and generalizations have been widely investigated as a ...
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Strong convergence algorithm for proximal split feasibility problem
The Journal of Analysis, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ajay Kumar, Balwant Singh Thakur
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Split Feasibility and Fixed Point Problems
2014In this survey article, we present an introduction of split feasibility problems, multisets split feasibility problems and fixed point problems. The split feasibility problems and multisets split feasibility problems are described. Several solution methods, namely, CQ methods, relaxed CQ method, modified CQ method, modified relaxed CQ method, improved ...
Qamrul Hasan Ansari, Aisha Rehan
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A new CQ method for solving split feasibility problem
Frontiers of Mathematics in China, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Hongyu, Wang, Yiju
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Modified general splitting method for the split feasibility problem
Journal of Global OptimizationzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seakweng Vong, Zhongsheng Yao
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Splitting methods for split feasibility problems with application to Dantzig selectors
Inverse Problems, 2017The split feasibility problem (SFP), which refers to the task of finding a point that belongs to a given nonempty, closed and convex set, and whose image under a bounded linear operator belongs to another given nonempty, closed and convex set, has promising applicability in modeling a wide range of inverse problems.
Hongjin He, Hong-Kun Xu
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Optimization, 2019
In this paper, we suggest two new iterative methods for finding an element of the solution set of split variational inclusion problem in real Hilbert spaces.
Luong Van Long +2 more
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In this paper, we suggest two new iterative methods for finding an element of the solution set of split variational inclusion problem in real Hilbert spaces.
Luong Van Long +2 more
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Auxiliary Principle Technique for Solving Split Feasibility Problems
Applied Mathematics & Information Sciences, 2013Let K and C be nonempty, closed and convex sets in R n and R m respectively and A be an m £ n real matrix. The split feasibility problem is to find u 2 K with Au 2 C: Many problems arising in the image reconstruction can be formulated in this form.
Muhammad Noor, Khalida Noor
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The Split Feasibility Problem in Hilbert Space
2013The purpose of this paper is to introduce and study Ishikawa iterative algorithms for solving the SFP in the setting of infinite-dimensional Hilbert spaces. The main results presented in this paper improve and extend some recent results done by Xu [Iterative methods for the split feasibility problem in infinite-dimensional Hilbert space, Inverse ...
Wu Dingping +3 more
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