[PDF] Top 20 Strong convergence of iterative algorithms for the split equality problem

... equality problem (SEP) is finding x ∈ C, y ∈ Q such that Ax = ...two algorithms are weakly ...new algorithms for SEP so that strong convergence is ...two algorithms which ... See full document

... multiple-sets split equality problem ...the strong convergence of an algorithm can be verified in the infinite-dimensional Hilbert ... See full document

... general split equality fixed point problem and general split equality problem in a Hilbert ...the strong convergence of the proposed algorithms to a solution ... See full document

... In this paper, we first introduce and investigate BSEP which can be regarded as a new development in the field of equilibrium problems. We provide some new iterative algo- rithms for BSEP and establish strong ... See full document

... an iterative algorithm which converges strongly to a fixed point of a uniformly L-Lipschitzian asymptotically pseudocontractive mapping T : C → C with F(T ) = ...our convergence theorems follows the one ... See full document

... particular, iterative algorithms for finding fixed points of nonexpansive mappings have received vast investigation ...these algorithms find applications in a variety of applied areas of inverse ... See full document

... new iterative algorithms for solving the split equality variational inclusion problem in Hilbert ...proposed algorithms converge strongly to a common solution of the split ... See full document

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

... Lipschitzian strong pseudo-contraction with a nonempty fixed point ...Three iterative algorithms are proposed for approximating the unique fixed point of T; one of them is for the self- mapping case, ... See full document

... and strong convergence results for the split equality generalized mixed equilibrium ...the split equality problem, the split feasibility problem, the ... See full document

... Throughout this paper, we always assume that H is a real Hilbert space with the inner product · , · and norm · . We denote by I the identity operator on H, and by Fix(T) the set of the fixed points of an operator T . The ... See full document

... new iterative algorithms to solve the split feasibility problem in the Hilbert ...the iterative sequence generated by these iterative procedures converges to the solution of the ... See full document

... the spectral radius of the operator A ∗ A, and they proved strong convergence results con- cerning (.) for quasi-nonexpansive operators S and T in real Hilbert spaces. Inspired by the work of Zhao and He ... See full document

... single iterative process for solving the SFP. Their proposal is an iterative algorithm, which involves the computation of the inverse of a matrix, which is known to be a difficult ... See full document

... The split feasibility problem (SFP) is finding a point in a given closed convex subset of a Hilbert space such that its image under a bounded linear operator belongs to a given closed convex subset of ... See full document

... a strong convergence algorithm for two countable families of quasi-nonexpansive mappings, the condition that each mapping must be demiclosed at θ is very ...of convergence is not too fast for the ... See full document

... The split equality problem is a generalization of the split feasibility problem, meanwhile it is a special case of multiple-sets split equality ...an iterative ... 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

... The main purpose of this paper is to introduce a two-step iterative algorithm for split feasibility problems such that the strong convergence is guaranteed. Our result extends and improves the ... See full document

... various algorithms to establish weak convergence the- orems in infinite dimensional Hilbert spaces for the split feasibility problem (see Theo- rems ...this problem in the infinite ... See full document