Let E be a real Banach space, let C be a closed convex subset of E, let T be a nonexpansive mapping of C into itself, that is, ‖Tx−Ty‖ ≤ ‖x− y‖ for each x, y ∈ C, and let A⊂ E×E be an accretive operator. For r > 0, we denote by Jr the resolvent of A, that is, Jr = (I + rA)−1. The problem of finding a solution u∈ E such that 0∈ Au has been investigated by many authors; for example, see [3, 4, 7,...

We consider a new iterative algorithm for finding a common element of the set of generalized mixed equilibrium problems, the set of solutions of a system of quasivariational inclusions for two difference inverse strongly accretive operators, and common set of fixed points for strict pseudocontractionmappings in Banach spaces. Furthermore, strong convergence theorems of this method were establis...

The viscosity approximation methods are employed to establish strong convergence of the modified Mann iteration scheme to a common zero of a finite family of accretive operators on a strictly convex Banach space with uniformly Gâteaux differentiable norm. Our work improves and extends various results existing in the current literature. This is an open access article distributed under the Creati...

An inertial algorithm for solving Hammerstein equations is presented. This obtained as a consequence of new proposed and studied nonlinear involving operators that are m-accretive. Some strong convergence theorems proved in real Banach spaces uniformly smooth. Furthermore, comparisons the numerical performance our algorithms with some recent important