A new optimization approach to solving split equality problems in Hilbert spaces

Simeon Reich (), Truong Minh Tuyen () and Nguyen Song Ha ()
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Simeon Reich: The Technion – Israel Institute of Technology
Truong Minh Tuyen: Thainguyen University of Sciences
Nguyen Song Ha: Thainguyen University of Sciences

Journal of Global Optimization, 2024, vol. 90, issue 1, No 6, 127-151

Abstract: Abstract We introduce a new optimization approach to solving systems of split equality problems in real Hilbert spaces. We use the inertial method in order to improve the convergence rate of the proposed algorithms. Our algorithms do not depend on the norms of the bounded linear operators which appear in each split equality problem of the system under consideration. This is also a strong point of our algorithms because it is known that it is difficult to compute or estimate the norm of a linear operator in the general case.

Keywords: Hilbert space; Metric projection; Optimization approach; Split equality problem; 47H09; 47J25; 65K10; 90C25 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10898-024-01389-x

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