A forward-backward splitting algorithm for quasi-Bregman nonexpansive mapping, equilibrium problems and accretive operators.

In this paper, we study a forward-backward splitting algorithm for fixed points of a quasi-Bregman nonexpansive mapping, solution of equilibrium problem and zero points of the sum of families of accretive operators and $\alpha_i$-inverse-strongly accretive operators. We proved a weak convergence of the sequences generated by this algorithm in reflexive Banach space. Our result extend and improve important recent results announced by many authors.