The purpose of this paper is to solve the minimization problem of finding such that , where stands for the intersection set of the solution set of the equilibrium problem and the fixed points set of a nonexpansive mapping. We first present two new composite algorithms (one implicit and one explicit). Further, we prove that the proposed composite algorithms converge strongly to .
Yonghong Yao. Yeong-Cheng Liou. "Composite Algorithms for Minimization over the Solutions of Equilibrium Problems and Fixed Point Problems." Abstr. Appl. Anal. 2010 1 - 19, 2010. https://doi.org/10.1155/2010/763506