Approximate Equilibrium Problems and Fixed Points

Abstract

We �nd a common element of the set of �xed points of a map and the set of solutions of an approximate equilibrium problem in a Hilbert space. en, we show that one of the sequences weakly converges. Also we obtain some theorems about equilibrium problems and �xed points.

$\epsilon-$Mixed equilibrium problems and fixed points in hilbert spaces

“…Now, we will present several particular classes of ε−mixed equilibrium systems and the relations between them. Some methods have been proposed to solve the equilibrium problems, mixed equilibrium problems and approximate equilibrium problems; see, for instance, [4], [5], [6]. Recently, L.-C. Ceng, S. Al-Homidan, Q. H. Ansari, and J.-C. Yao [1] introduce a method for mixed equilibrium problems and fixed point problems.…”