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Yu Cao, Yishuo Peng, Luoyi Shi, Yasong Chen, Modified relaxed CQ-algorithms for a split equality problem in Hilbert spaces

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DOI: 10.23952/jano.6.2024.1.08
Volume 6, Issue 1, 1 April 2024, Pages 135-151

 

Abstract. In this paper, we propose three self-adaptive relaxed CQ-algorithms with projections onto half-spaces for solving a split equality problem. The stepsize of the algorithms is dynamically calculated without any prior information regarding operator norms. Moreover, we prove the strong convergence to the minimum-norm solution of the split equality problem. Finally, we test the validity of our results by conducting some numerical experiments and consider signal recovery problems as applications.

 

How to Cite this Article:
Y. Cao, Y. Peng, L. Shi, Y. Chen, Modified relaxed CQ-algorithms for a split equality problem in Hilbert spaces, J. Appl. Numer. Optim. 6 (2024), 135-151.