Popov subgradient extragradient algorithm for pseudomonotone equilibrium problems in Banach spaces
Journal of Nonlinear Functional Analysis · 2019
In this paper, we study a modified subgradient extragradient iterative algorithm for the approximation of solutions of pseudomonotone equilibrium problems in the framework of 2-uniformly convex Banach spaces which are also uniformly smooth.Our algorithm is based on two popular iterative methods: the Popov extragradient algorithm and the subgradient extragradient algorithm.We further state and prove a weak convergence result under some mild conditions.