Title of article :
Approximation of common solutions of the infinite family of equilibrium problems in Banach Spaces
Author/Authors :
Jahed ، Rasul Department of Mathematics - Islamic Azad University, Germi Branch , Vaezi ، Hamid Department of Mathematics - Faculty of Mathematics, Statistics and Computer Sciences - University of Tabriz , Piri ، Hossein Department of Mathematics - University of Bonab
Abstract :
In this paper, we study convergence analysis of the sequence generated by extragradient method for an infinite family of the equilibrium problems in Banach spaces. We first prove weak convergence of the generated sequence to a common solution of the infinite family of the equilibrium problems. Then we use Halpern type regularization method in order to prove strong convergence of the generated sequence to a common equilibrium point.
Keywords :
Equilibrium problem , Extragradient method , Halpern regularization , Pseudo , monotone bifunction
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)
Journal title :
Caspian Journal of Mathematical Sciences (CJMS)
