[PDF] Top 20 Iterative methods for the split common fixed point problem in Hilbert spaces

... There has been growing interest in recent years in the split feasibility problem (SFP) []. The SFP is very useful in dealing with problems in signal processing and image recon- struction [], especially in ... See full document

... finite-dimensional Hilbert spaces was first introduced by Censor and Elfving [] for modeling inverse problems which arise from phase retrievals and in medical image reconstruction ... See full document

... the split feasibility problem (say SFP, for short), which was introduced by Censor and Elfving ...the split feasibility problem (SFP) has received much attention (see [, , ]) due to its ... See full document

... of iterative method ...the iterative algorithm of ...the iterative sequence {x n } is defined by (.), where the iterative parameters { α n }, {t n ... See full document

... general iterative scheme for finding a common element of the set of equilibrium problems and fixed point problems of a countable family of nonexpansive mappings in Hilbert ... See full document

... which is also the optimality condition of the minimization problem. Thereafter, Li et al. [] and Cianciaruso et al. [] modified the general iterative method (.) to the case of non- expansive semigroups ... See full document

... finite-dimensional Hilbert spaces was first introduced by Censor and Elfving [] for modeling inverse problems which arise from phase retrievals and in medical im- age reconstruction ...The split ... See full document

... Iterative methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 5–8 and the references ...typical problem is to minimize a quadratic ... See full document

... The split common fixed point problem is an inverse problem that consists in finding an element in a fixed point set such that its image under a bounded linear ... See full document

... fixed point and zero point problems have been studied by many authors based on iterative methods; see, for example, [–] and the references ...the problem of finding a common ... See full document

... dimensional Hilbert spaces, Censor and Elfving [] introduced the split feasibility problem for modeling inverse problems which arise from phase retrievals and in medical imagine ... See full document

... and split fixed-point problems, ...following split common fixed-point ...real Hilbert spaces, let A : H 1 → H 3 , B : H 2 → H 3 be ... See full document

... Recently iterative methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, [4–7] and the references ...typical problem is to minimize a ... 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 ... See full document

... and fixed point problem of nonexpansive mappings have received rapid development, see, for example, [1-17] and the references ...and fixed point set of nonexpansive ... See full document

... of iterative scheme of fixed point ...the methods need not know the spectral norm of operator ...multiple-sets split feasibility problem (MSSFP), and introduced its applications for ... See full document

... extragradient iterative method to approximate a common solution to a split equality variational inequality problem and a multiple-sets split equality fixed point ... See full document

... an iterative method for finding a common element of the set of fixed points of a strict pseudocontraction and of the set of solutions to the problem ... See full document

... the iterative scheme which converges strongly to a common solution of the split equilibrium problem, the variational inequality problem and the fixed point prob- lem for a ... See full document

... the split feasibility problem in Hilbert spaces; see, for instance, ...in Hilbert spaces to Banach spaces and then obtained strong con- vergence theorems for finding a ... See full document