A new algorithm for finding fixed points of Bregman asymptotically regular quasi-nonexpansive mapping and solutions of equilibrium problems
Roushanak Lotfikar, Gholamreza Zamani Eskandani · Asian-European Journal of Mathematics · 2021
In this paper, we propose a new algorithm for finding a common element of the set of fixed points of Bregman asymptotically regular quasi-nonexpansive mappings and the set of zeros of maximal monotone mappings and the set of solutions of equilibrium problems for pseudomonotone and Bregman Lipschitz-type continuous bifunctions in reflexive Banach spaces. Moreover, the strong convergence of the sequence generated by this algorithm is established under some suitable conditions.