Hybrid extragradient-type algorithm for zeros and fixed point problems in Banach spaces

In this paper, we introduce a new hybrid extragradient-type algorithm for approximating an element in the set of common solutions of equilibrium problems and common fixed points of family of bregman demigeneralized mappings which is also a common zero of the sum of maximal monotone and bregman inverse strongly monotone operators in the setting of reflexie banach space. strong convergence of the proposed algorithm to a solutions of the said problems is established which improves and generalizes many recently announced results in the literature.