A general alternative regularization method with line search technique for solving split equilibrium and fixed point problems in Hilbert spaces

In this paper, we introduce a new general alternative regularization algorithm for solving split equilibrium and fixed point problems in real Hilbert spaces. The proposed method does not require a prior estimate of the norm of the bounded linear operator nor a fixed stepsize for its convergence. Ins...

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Bibliographic Details
Published in:Computational & applied mathematics 2020-09, Vol.39 (3), Article 150
Main Authors: Jolaoso, Lateef Olakunle, Karahan, Ibrahim
Format: Article
Language:English
Subjects:
Algorithms
Applications of Mathematics
Applied physics
Computational mathematics
Computational Mathematics and Numerical Analysis
Convergence
Hilbert space
Iterative methods
Linear operators
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Regularization
Regularization methods
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Summary:In this paper, we introduce a new general alternative regularization algorithm for solving split equilibrium and fixed point problems in real Hilbert spaces. The proposed method does not require a prior estimate of the norm of the bounded linear operator nor a fixed stepsize for its convergence. Instead, we employ a line search technique and prove a strong convergence result for the sequence generated by the algorithm. A numerical experiment is given to show that the proposed method converges faster in terms of number of iteration and CPU time of computation than some existing methods in the literature.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-020-01178-8