Strong Convergence Theorems by Hybrid Methods for Strict Pseudocontractions and Equilibrium Problems
Peichao Duan, Jing Zhao · Fixed Point Theory and Applications · 2010
Abstract Let "Equation missing" be N strict pseudocontractions defined on a closed convex subset "Equation missing" of a real Hilbert space "Equation missing". Consider the problem of finding a common element of the set of fixed point of these mappings and the set of solutions of an equilibrium problem with the parallel and cyclic algorithms. In this paper, we propose new iterative schemes for solving this problem and prove these schemes converge strongly by hybrid methods.