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.
Original language | English |
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Journal | Journal of Global Optimization |
DOIs | |
State | Accepted/In press - 2024 |
Keywords
- 47H09
- 47J25
- 65K10
- 90C25
- Hilbert space
- Metric projection
- Optimization approach
- Split equality problem
ASJC Scopus subject areas
- Business, Management and Accounting (miscellaneous)
- Computer Science Applications
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics