A HYBRID VISCOSITY APPROXIMATION METHOD FOR A COMMON SOLUTION OF A GENERAL SYSTEM OF VARIATIONAL INEQUALITIES,AN EQUILIBRIUM PROBLEM,AND FIXED POINT PROBLEMS  

作　　者：Maryam Yazdi Saeed Hashemi Sababe 

机构地区：[1]Young Researchers and Elite Club,Malard Branch,Islamic Azad University,Malard,Iran [2]Department of mathematical and statistical sciences,University of Alberta,Edmonton,Canada Young Researchers and Elite Club,Malard Branch,Islamic Azad University,Malard,Iran

出　　处：《Journal of Computational Mathematics》2023年第1期153-172,共20页计算数学（英文）

摘　　要：In this paper,we introduce a new iterative method based on the hybrid viscosity approximation method for finding a common element of the set of solutions of a general system of variational inequalities,an equilibrium problem,and the set of common fixed points of a countable family of nonexpansive mappings in a Hilbert space.We prove a strong convergence theorem of the proposed iterative scheme under some suitable conditions on the parameters.Furthermore,we apply our main result for W-mappings.Finally,we give two numerical results to show the consistency and accuracy of the scheme.

关 键 词：Equilibrium problem Iterative method Fixed point Variational inequality 

分 类 号：O17[理学—数学]