CQ-algorithms for the related problems of split equality problem in Hilbert spaces

In this paper, we propose four novel CQ-algorithms to solve the split equality problem (SEP) in Hilbert spaces. These algorithms incorporate advanced techniques such as adaptive step sizes, alternate inertia, and dual projections, ensuring weak convergence under mild conditions. Additionally, we ext...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 208; no. 1; p. 50
Main Authors:	Cao, Yu, Peng, Yishuo, Chen, Yasong, Shi, Luoyi
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.01.2026 Springer Nature B.V
Subjects:	Algorithms Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Convergence Engineering Half spaces Hilbert space Inertia Iterative methods Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Partial differential equations Radiation Signal processing Signal reconstruction Theory of Computation Split equality problem Self-adaptive step size 65K15 Signal recovery problem 90C30 The multiple-sets split Equality problem The alternated inertial technique
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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