Convergence Theorems for Maximal Monotone Operators, Weak Relatively Nonexpansive Mappings and Equilibrium Problems
Kamonrat Nammanee, Suthep Suantai, Prasit Cholamjiak · Journal of Applied Mathematics · 2012
We introduce hybrid‐iterative schemes for solving a system of the zero‐finding problems of maximal monotone operators, the equilibrium problem, and the fixed point problem of weak relatively nonexpansive mappings. We then prove, in a uniformly smooth and uniformly convex Banach space, strong convergence theorems by using a shrinking projection method. We finally apply the obtained results to a system of convex minimization problems.