Two Modified Hybrid Inertial Algorithms for Bregman Weak Relatively Nonexpansive Mapping in Banach Spaces

This paper formulates two modified hybrid algorithms with inertial parameter corresponding to Bregman distance function for approximating common fixed point of a Bregman weak relatively nonexpansive mappings in a Banach space. The inertial parameter of these algorithms involve a computation of the gradient of the given function at each iterates. We prove a strong convergence theorems for these algorithms under appropriate control conditions. We perform numer ical computations for particular examples as an applicable illustration for the theoretical analysis. Our results improves previously cited results of some authors in the literature.