A cyclic iterative method for solving the system of split equality zero-point problems

ABSTRACT

The purpose of this paper is to introduce a new cyclic iterative algorithm for finding a solution to the system of split equality zero-point problems in Hilbert spaces. The strong convergence of the proposed algorithm is established under some mild conditions. Moreover, this algorithm does not depend on the norm of the transfer mappings. Some applications of the main theorem to the related problems are also presented.

KEYWORDS:

• Hilbert space
• metric projection
• monotone operator
• split equality zero-point problem

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

• 47H05
• 47H09
• 49J53
• 90C25

Acknowledgments

The author is grateful to an anonymous referee for his/her useful comments and helpful suggestions.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This research was supported by Project of the TNU-University of Sciences in Vietnam under Grant number CS2022-TN06-01.