TY - JOUR
ID - 160209
TI - A monotone hybrid algorithm for maximal monotone operators and a family of generalized nonexpansive mappings
JO - Communications in Nonlinear Analysis
JA - CNA
LA - en
SN -
AU - Aibinu, Mathew
AD - Institute for Systems Science & KZN e-Skills CoLab, Durban University of Technology, Durban 4000, South Africa.
Y1 - 2023
PY - 2023
VL - 11
IS - 2
SP - 1
EP - 12
KW - generalized
KW - Maximal monotone
KW - nonexpansive
KW - Retraction
KW - Algorithm
DO -
N2 - 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.
UR - https://www.cna-journal.com/article_160209.html
L1 - https://www.cna-journal.com/article_160209_4c3270ef50b643da47d56ea5612f74a2.pdf
ER -