TY - JOUR
T1 - Convergence theorem for fixed point and split generalized variational inclusion problems with multiple output sets in Banach spaces
AU - Oyewole, Olawale Kazeem
AU - Abass, Hammed Anuoluwapo
AU - Aremu, Kazeem Olalekan
AU - Olayiwola, Morufu Oyedunsi
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2024.
PY - 2024/6
Y1 - 2024/6
N2 - In the framework of p-uniformly convex uniformly and smooth Banach spaces, we introduce the split common generalized variational incusion problem with multiple output sets. Using a Halpern iterative method, we propose a strong convergence algorithm for approximating a common solution of this problem and fixed point of a Bregman firmly nonexpansive mapping. Furthermore, we give a theoretical application to split common minimization problem with multiple output sets. We also report some numerical examples to illustrate the performance of our proposed method.
AB - In the framework of p-uniformly convex uniformly and smooth Banach spaces, we introduce the split common generalized variational incusion problem with multiple output sets. Using a Halpern iterative method, we propose a strong convergence algorithm for approximating a common solution of this problem and fixed point of a Bregman firmly nonexpansive mapping. Furthermore, we give a theoretical application to split common minimization problem with multiple output sets. We also report some numerical examples to illustrate the performance of our proposed method.
KW - Monotone
KW - Projection
KW - Reflexive Banach space
KW - Strong convergence
KW - Variational inclusion
UR - http://www.scopus.com/inward/record.url?scp=85181897666&partnerID=8YFLogxK
U2 - 10.1007/s12215-023-00987-0
DO - 10.1007/s12215-023-00987-0
M3 - Article
AN - SCOPUS:85181897666
SN - 0009-725X
VL - 73
SP - 1413
EP - 1434
JO - Rendiconti del Circolo Matematico di Palermo
JF - Rendiconti del Circolo Matematico di Palermo
IS - 4
ER -