[PDF] Top 20 An algorithm for the split feasibility problems with application to the split equality problem

... The split-feasibility problem was originally introduced by Censor and Elfving [] for modeling phase retrieval problems, and it later was studied extensively as an extremely powerful tool for ... See full document

... the split equality problems came from the idea of the projected Landweber algorithm proposed by Byrne and Moudafi (Working paper UAG, 2013), and few algorithms came from the idea of the ... See full document

... The problem finds applications in such fields as image reconstruction and signal pro- cessing [1], and it was intensively considered by researchers ...this problem, nu- merous efficient iterative methods were ... See full document

... Algorithm (.) contains as special cases the inexact proximal point algorithm (e.g., [, ]) and the generalized contraction proximal point algorithm (e.g., []). Our conclusion extends and ... See full document

... CQ- algorithm is fixed, depending upon the norm of the operator ...multiple-sets split feasibility problem (MSSFP), and introduced its applications for inverse ... See full document

... general split feasibility problem, general split equality problem, and split variational inclusion problem in real Hilbert ...on split feasibility ... See full document

... The split feasibility problem has received much attention due to its applications in signal processing and image reconstruction [] with particular progress in intensity modulated therapy ...the ... See full document

... CQ algorithm not only has not been taken into account, but also one will obtain a special ...CQ algorithm from the views of fixed point and variational in- ...extended split feasibility ... See full document

... point algorithm, which was proposed by Martinet [, ] and generalized by Rockafellar [, ] is one of the classical methods for solving zero points of maximal monotone ...the problem of finding a zero of ... See full document

... Motivated and inspired by the above works, we introduce an extragradient-type method to solve the MSSEP in this paper. Under some suitable conditions, the strong convergence of an algorithm can be verified in the ... See full document

... iterative algorithm improved by Eslamian [] for the GSEP in the Hilbert ...an algorithm which strongly converges to the minimum norm solution of the ... See full document

... real matrix. The SFP was originally introduced in [] and has broad applications in many fields, such as image reconstruction problem, signal processing, and radiation therapy [– ]. Various algorithms have been ... See full document

... people have invented various algorithms with a variable or self-adaptive stepsize. Since Qu [] presented a searching method by adopting Armijo-like search, many similar methods have been proposed, such as [–] etc. ... See full document

... of problems in image reconstruction from projections, in image processing, and in intensity-modulated radiation therapy), algo- rithms for solving convex feasibility problems continue to receive ... See full document

... an algorithm for solving the split feasibility problems for total quasi-asymptotically nonexpansive mappings in infinite-dimensional Hilbert ...Inverse Problem 26:055007, 2010], but also ... See full document

... The split common fixed point problem for directed ...The split common fixed-point problem for demi-contractive ...for split feasibility problems in Hilbert ...the ... See full document

... iterative algorithm for solving the split equality generalized mixed equilibrium problem ...the split equality convex differentiable optimization problem, the split ... See full document

... inclusion problem in the setting of infinite-dimensional Hilbert ...new algorithm converges strongly to a solution of the general split variational inclusion ...a split feasibility ... See full document

... a split variational inclusion problem and give several strong convergence theorems in Hilbert spaces, like the Halpern-Mann type iteration method and the regularized iteration ...a split ... See full document

... gradient algorithm for the split variational inclusion problems in Hilbert ...proposed algorithm is proved under suitable conditions. As an application, we give a new strong convergence ... See full document