Iterative methods with perturbations for the sum of two accretive operators in q-uniformly smooth Banach spaces

Abstract

© 2017, Springer-Verlag Italia S.r.l. In this work, we introduce implicit and explicit iteration processes with perturbations for solving the fixed point problem of nonexpansive mappings and the quasi-variational inclusion problem. We then prove its strong convergence under some suitable conditions. In the last section of the paper, some applications are given also. The results obtained in this paper extend and improve some known others presented in the literature.