A new iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contractive mappings and its application
Zhenhua He · University of Zagreb University Computing Centre (SRCE) · 2012
In this paper, we introduce a new iterative scheme for finding a common element of the set of a solution of an equilibrium problem and the set of fixed points of finite family strict pseudo-contraction mappings in a real Hilbert space.Some strong convergence theorems are established using the iterative scheme.In the meantime, we successfully apply these Theorems to find a common element of the set of a solution of an equilibrium problem and the set of fixed points of finite family of non-expansive mappings in a real Hilbert space.The results in this paper improve the corresponding ones of [3,6] and references therein.