Iterative algorithm for computing fixed points of demicontractive and zeros points of multivalued accretive operators in certain Banach spaces with application

Abstract

In this paper, we introduce a new iterative approach for finding a common element of the set of fixed points of a demicontractive mapping and the set of solutions of system of inclusion problems with an infinite family of accretive operators in certain Banach spaces. Then, strong convergence of the scheme to a common element of the two sets is proved. Moreover, application to convex minimization problems involving an infinite family of lower semi-continuous and convex functions are included.The main theorems develop and complement the recent results announced by researchers in this area.