Strong convergence theorem for a general system of variational inequalities, equilibrium problems, and fixed point problems



	Strong convergence theorem for a general system of variational inequalities, equilibrium problems, and fixed point problems


	Fixed Point Theory, Volume 23, No. 2, 2022, 763-778, June 15th, 2022 DOI: 10.24193/fpt-ro.2022.2.20 Authors: Maryam Yazdi and Saeed Hashemi Sababe Abstract: A new iterative scheme is proposed for finding a common element of the solution set of a general system of variational inequalities, the solution set of an equilibrium problem and the common fixed point set of a countable family of nonexpansive mappings in a real Hilbert space. Under some suitable conditions imposed on the parameters, a strong convergence theorem is proved. Moreover, a numerical result is given to show the effectiveness of the scheme. Key Words and Phrases: Equilibrium problem, iterative method, fixed point. 2010 Mathematics Subject Classification: 47H10, 47J25, 47H09, 65J15. Published on-line: June 15th, 2022. Abstract pdf Fulltext pdf Back to volume's table of contents