Strong Convergence Theorems for Equilibrium Problems and Weakly Relatively Nonexpansive Mappings in Banach Spaces and their Applications
Zhou Hai-yun · Mathematica Applicata · 2010
In this paper,some new hybrid iterative schemes for approximating the common element of the set of solutions of an equilibrium problem and the set of fixed points of weakly relatively nonexpansive mappings or the set of zero points of maximal monotone operators in a Banach space are proposed.Some strong convergence theorems are proved and are also extended to the finite cases.Moreover,the applications of the newly obtained iterative schemes on optimization problems are demonstrated.