[PDF] Top 20 Preconditioning methods for solving a general split feasibility problem
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Preconditioning methods for solving a general split feasibility problem
... We see that the SFP in [] and the GSFP in [] are particular cases of GSFP (.). It has applications in many special fields such as signal decryption, demodulating the digital sig- nal and noise processing, etc. In ... See full document
11
Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces
... The split feasibility problem has been received much attention in recent ...the split feasibility problem in an infinite- dimensional Hilbert ...the split ... See full document
14
Extra-gradient methods for solving split feasibility and fixed point problems
... for solving the SFP; see, for example, [, , –] and the references therein (see also [–] for relevant projection methods for solving image recovery ... See full document
21
New generalized variable stepsizes of the CQ algorithm for solving the split feasibility problem
... another general format. Obviously, both the general algorithms with the generalized vari- able stepsizes can solve the SFP and some special variational inequality problem ... See full document
18
Some results on a viscosity splitting algorithm in Hilbert spaces
... classical methods for solving zero points of maximal monotone ...the problem of finding a zero of the sum of two monotone ...The problem is very general in the sense that it includes, as ... See full document
15
Strong convergence of a relaxed CQ algorithm for the split feasibility problem
... The computation of a projection onto a general closed convex subset is generally diffi- cult. To overcome this difficulty, Fukushima [] suggested a so-called relaxed projection method to calculate the projection ... See full document
11
Strong convergence of a self-adaptive method for the split feasibility problem
... inequality problem, which is among the simplest numerical methods for solving variational inequality ...to solving variational inequality problems, the Lipschitz constant may be difficult to ... See full document
12
Simultaneous iterative algorithms for the split common fixed-point problem of generalized asymptotically quasi-nonexpansive mappings without prior knowledge of operator norms
... for solving SCFP ...in general not an easy work in ...for solving the split feasibility problems and multiple-set split feasibility problems, ... See full document
12
Multisplitting Iterative Methods with General Weighting Matrices for Solving Symmetric Positive Linear Complementarity Problem
... parallel methods for solving the symmetric positive definite linear complementarity problem, which is a powerful alternative for solving the large sparse linear complementarity ...standard ... See full document
5
An algorithm for the split feasibility problems with application to the split equality problem
... the split-equality problem covers many situations, for instance in decomposition methods for PDEs, game theory, and modulated radiation therapy ...the split-equality fixed point problem ... See full document
12
Iterative methods for solving the multiple-sets split feasibility problem with splitting self-adaptive step size
... The paper is organized as follows. In the next section, we introduce some definitions and lemmas, which will be used in the following. In Section , we propose an iterative al- gorithm with splitting self-adaptive step ... See full document
15
A preconditioning method of the CQ algorithm for solving an extended split feasibility problem
... This problem plays an important role in the study of signal processing, image reconstruction, and so on [, ...for solving the SFP that does not involve matrix ... See full document
11
An improved method for solving multiple-sets split feasibility problem
... multiple-sets split feasibility problem (MSSFP) has a variety of applications in the real world such as medical care, image reconstruction and signal ...proposed solving the MSSFP by a ... See full document
12
Iterative process for solving a multiple set split feasibility problem
... Different from most of the existing methods, in this paper, we construct a new searching direction, which is not the gradient ∇ p. And this difference causes a very different way of analysis. Moreover, some ... See full document
10
Relaxed and hybrid viscosity methods for general system of variational inequalities with split feasibility problem constraint
... iterative methods have been used in signal processing and image reconstruction and for solving the SFP; see, ...inverse problem [] of finding an element x such ... See full document
50
On iterative solutions of a split feasibility problem with nonexpansive mappings
... iterative methods for split inclusion problem with a common fixed point constraint of an infinite family of nonexpansive map- ...the problem was established in the framework of Hilbert spaces ... See full document
13
Approximating common fixed points of averaged self-mappings with applications to the split feasibility problem and maximal monotone operators in Hilbert spaces
... the split feasibility problem, the zero point problem of maximal monotone operators, the minimization problem and the equilibrium problem, and to show that the unique minimum ... See full document
20
A modified projection method for a common solution of a system of variational inequalities, a split equilibrium problem and a hierarchical fixed-point problem
... a split equilibrium problem, and a hierarchical fixed-point problem in the setting of real Hilbert ...a split equilibrium problem, and a hierarchical fixed-point ... See full document
25
Split feasibility problems for total quasi-asymptotically nonexpansive mappings
... for solving the split feasibility problems for total quasi-asymptotically nonexpansive mappings in infinite-dimensional Hilbert ...Inverse Problem 26:055007, 2010], but also improve and extend ... See full document
11
The common solutions of the split feasibility problems and fixed point problems
... The SCFP is a natural extension of the SFP and of the convex feasibility problem. The SCFP was firstly considered by Censor and Segal in [] where S and T are directed op- erators which include the ... See full document
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