Strong convergence theorems for system of equilibrium problems and asymptotically strict pseudocontractions in the intermediate sense

Abstract

Abstract Let be N uniformly continuous asymptotically λi -strict pseudocontractions in the intermediate sense defined on a nonempty closed convex subset C of a real Hilbert space H. Consider the problem of finding a common element of the fixed point set of these mappings and the solution set of a system of equilibrium problems by using hybrid method. In this paper, we propose new iterative schemes for solving this problem and prove these schemes converge strongly. MSC: 47H05; 47H09; 47H10.

Keywords

• asymptotically strict pseudocontraction in the intermediate sense
• system of equilibrium problem
• hybrid method
• fixed point