%0 Journal Article
%T A monotone hybrid algorithm for maximal monotone operators and a family of generalized nonexpansive mappings
%J Communications in Nonlinear Analysis
%I RGNAA Publishing
%Z 2371-7920
%A Aibinu, Mathew
%D 2023
%\ 07/01/2023
%V 11
%N 2
%P 1-12
%! A monotone hybrid algorithm for maximal monotone operators and a family of generalized nonexpansive mappings
%K generalized
%K Maximal monotone
%K nonexpansive
%K Retraction
%K Algorithm
%R
%X In this paper, a new monotone hybrid method is introduced in the framework of Banach spaces for finding a common element of the set of zeros of a maximum monotone operator and the fixed point set of a family of generalized nonexpansive mappings. The prove is given in the framework of Banach spaces for the strong convergence of a sequence of iteration to a common element of the set of zeros of a maximum monotone operator and the fixed point set of a family of generalized nonexpansive mappings. New convergence results are obtained for resolvents of maximal monotone operators and a family of generalized nonexpansive mappings in a Banach space.
%U https://www.cna-journal.com/article_160209_4c3270ef50b643da47d56ea5612f74a2.pdf