Journal of Inequalities and Applications. J Inequal Appl. Published online Nov Yuchao Tang and Liwei Liu. Author information Article notes Copyright and License information Disclaimer.

Corresponding author. Received Aug 30; Accepted Nov 8. This article has been cited by other articles in PMC. Abstract In this paper, we propose several new iterative algorithms to solve the split feasibility problem in the Hilbert spaces. Keywords: split feasibility problem, strong convergence, the best approximation. Preliminaries In this section, we collect some important definitions and some useful lemmas which will be used in the following section. Definition 2. Remark 2. Lemma 2. Then i. Proposition 2. Main results In this section, we state and prove our main results.

Theorem 1 Assume that the SFP 1. Theorem 2 Assume that the SFP 1.

Remark 3. Conclusions The split feasibility problem has been received much attention in recent years. Footnotes Competing interests The authors declare that they have no competing interests.

Application of Fixed Point Theorem and Error Bounds

Contributor Information Yuchao Tang, Email: moc. References 1. Censor Y, Elfving T. A multiprojection algorithm using Bregman projections in a product space. On projection algorithms for solving convex feasibility problems. SIAM Rev. The multiple-sets split feasibility problem and its applications for inverse problems. Inverse Probl.

Introduction

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Best Approximation, Invariant Measures, and Fixed Points

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An application of a random fixed point theorem to random best approximation

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