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DOI: 10.23952/jnfa.2023.24
Received February 3, 2023; Accepted July 10, 2023; Published August 3, 2023
Abstract. This paper constructs a new iterative method for identifying a common solution of a general system of variational inequalities and a fixed point problem of a nonexpansive mapping. Furthermore, this paper establishes some necessary and sufficient conditions of strong convergence of iterative sequences without any assumption that the solution set of the problem is nonempty in Hilbert spaces. Finally, some applications and examples are provided to support the main results.
How to Cite this Article:
P. Worapun, A. Kangtunyakarn, An approximate approach for solving fixed point and systems of variational inequality problems without certain constraints, J. Nonlinear Funct. Anal. 2023 (2023) 24.