[PDF] Top 20 Strong convergence of a self-adaptive method for the split feasibility problem
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Strong convergence of a self-adaptive method for the split feasibility problem
... the self-adaptive strategy, Zhang et al. [] proposed their method by us- ing variable step-sizes instead of the fixed step-sizes as in Censor et ...a self- adaptive projection ... See full document
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Approximating Curve and Strong Convergence of the CQ Algorithm for the Split Feasibility Problem
... the split feasibility problem SFP and obtain the minimum-norm solution of SFP as the strong limit of the approximating ...that strong convergence is guaranteed and the limit is ... See full document
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Strong convergence of a relaxed CQ algorithm for the split feasibility problem
... 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
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Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces
... In this paper, we propose several new iterative algorithms to solve the split feasibility problem in the Hilbert spaces. By virtue of new analytical techniques, we prove that the iterative sequence ... See full document
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Weak- and strong-convergence theorems of solutions to split feasibility problem for nonspreading type mapping in Hilbert spaces
... multiple-set split feasibility prob- lem (MSSFP) for an infinite family of k-strictly pseudo-nonspreading mappings and a fi- nite family of ρ-strictly pseudo-nonspreading mappings in infinitely dimensional ... See full document
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Strong convergence theorems for a class of split feasibility problems and fixed point problem in Hilbert spaces
... the split feasibility problem (SFP), which was first introduced by Censor and Elfving [1], have appeared in various fields of science and technology, such as in signal processing, medical image ... See full document
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Moudafi’s open question and simultaneous iterative algorithm for general split equality variational inclusion problems and general split equality optimization problems
... some strong convergence theorems for the sequences generated by the algorithm are proved in the setting of infinite- dimensional Hilbert ...the split feasibility problem, split ... See full document
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The regularized CQ algorithm without a priori knowledge of operator norm for solving the split feasibility problem
... Recently, the SFP has been studied extensively by many authors. However, some algo- rithms need to compute A , and this is not an easy thing to work out. Others do not need to compute A, but the algorithms always have ... See full document
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Strong convergence of an extragradient type algorithm for the multiple sets split equality problem
... The split feasibility problem (SFP) was first presented by Censor et ...inverse problem that arises in medical image reconstruction, phase retrieval, radiation therapy treatment, signal ... See full document
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Strong and weak convergence theorems for split equality generalized mixed equilibrium problem
... and strong convergence results for the split equality generalized mixed equilibrium ...the split equality problem, the split feasibility problem, the split ... See full document
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Strong convergence theorems for the split equality variational inclusion problem and fixed point problem in Hilbert spaces
... the problem () is equivalent to the well-known split feasibility problem ...The split equality problems allow asymmetric and partial relations between the variables x and ... See full document
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Multiple set split feasibility problems for κ asymptotically strictly pseudo nonspreading mappings in Hilbert spaces
... weak convergence theorems for the class of ...and strong convergence theorems in real Hilbert ...multiple-set split feasibility problem for an asymptotically strict ... See full document
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Strong convergence theorems by hybrid methods for the split common null point problem in Banach spaces
... the split feasibility problem in Hilbert spaces; see, for instance, ...obtained strong con- vergence theorems for finding a solution of the split feasibility problem in ... See full document
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Self-adaptive algorithms for proximal split feasibility problems and strong convergence analysis
... 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
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Strong convergence theorems for the split variational inclusion problem in Hilbert spaces
... a split variational inclusion problem and give several strong convergence theorems in Hilbert spaces, like the Halpern-Mann type iteration method, the regularized iteration ...a ... See full document
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Strong convergence theorems for the general split variational inclusion problem in Hilbert spaces
... some strong convergence theorems for the sequence proposed by ...a split feasibility problem and a split optimization problem and give some strong con- vergence ... See full document
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Algorithms with strong convergence for the split common solution of the feasibility problem and fixed point problem
... The above equivalence relation (.) reminds us to use fixed point method to solve (.). Many authors have given a continuation of the study on the CQ algorithm and its variant form. For related work, please refer ... See full document
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New inertial algorithm for solving split common null point problem in Banach spaces
... the split common null point problem without prior knowledge of the operator norms in Banach ...the self-adaptive step size rule to solve the split null point problems for multi-valued ... See full document
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Iterative methods for solving the multiple-sets split feasibility problem with splitting self-adaptive step size
... a self-adaptive projection method for solving the MSSFP, which was inspired by the work of He et ...the method used in [] to solve the MSSFP and also gave a self-adaptive ... See full document
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An improved method for solving multiple-sets split feasibility problem
... In the general case, computing the projection in the MSSFP is difficult to implement. So, Yang [] solves this problem by the relaxed CQ-algorithm. Without loss of generality, take the two-sets split ... See full document
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