关于均衡问题和三个相对弱伪非扩张映射和单调映射的混合迭代算法的强收敛定理

he purpose of this paper is to introduce a new hybrid projection algorithm for finding a common element of the set of common fixed points of three relatively weak quasi -nonexpansive mappings, the set of solutions of an equilibrium problem and a zero of solutions of α-inverse strongly monotone mapping in the framework of Banach spaces. Moreover, strong convergence theorems to a point which is common fixed point of three relatively weak quasi-nonexpansive mappings, a solution of an equilibrium problem and a solution of a certain variational problem are proved under appropriate conditions.Our results improve and extend the results announced by many others.