%0 Journal Article
%T Strong Convergence of Monotone Hybrid Algorithms for Maximal Monotone Mappings and Generalized Nonexpansive Mappings
%J Communications in Nonlinear Analysis
%I Research & Science Group Ltd.
%Z 2371-7920
%A Aibinu, Mathew
%D 2023
%\ 03/01/2023
%V 11
%N 1
%P 1-12
%! Strong Convergence of Monotone Hybrid Algorithms for Maximal Monotone Mappings and Generalized Nonexpansive Mappings
%K generalized
%K Maximal monotone
%K nonexpansive
%K Retraction
%K Algorithm
%R
%X A class of generalized nonexpansive mappings in Banach spaces is considered and a new monotone hybrid algorithm is presented for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a generalized nonexpansive mapping. Under certain conditions on the associated parameters, a strong convergence result is established. Moreover, the obtained result is applied to prove a strong convergence theorem for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a generalized nonexpansive mapping in a Hilbert space.
%U https://www.cna-journal.com/article_155362_378fa7acb65d9795b7ff973c798c6dfd.pdf