TY - JOUR
ID - 5336
TI - On split equality variation inclusion problems in Banach spaces without operator norms
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Jolaoso, Lateef O
AU - Ogbuisi, Ferdinard U.
AU - MEWOMO, OLUWATOSIN Temitope
AD - University of KwaZulu-Natal
AD - University of KwaZulu-Natal
University Road Westville
Durban
South Africa
Y1 - 2021
PY - 2021
VL - 12
IS - Special Issue
SP - 425
EP - 446
KW - Split equality problem
KW - variational inclusion
KW - Bregman distance
KW - fixed point problem
KW - operator norms
KW - Banach spaces
DO - 10.22075/ijnaa.2021.5332
N2 - The purpose of this paper is to study the approximation of solutions of split equality variational inclusion problem in uniformly convex Banach spaces which are also uniformly smooth. We introduce an iterative algorithm in which the stepsize does not require prior knowledge of operator norms. This is very important in practice because norm of operators that are often involved in applications are rarely known explicitly. We prove a strong convergence theorem for the approximation of solutions of split equality variational inclusion problem in $p$-uniformly convex Banach spaces which are also uniformly smooth. Further, we give some applications and a numerical example of our main theorem to show how the sequence values affect the number of iterations. Our results improve, complement and extend many recent results in literature.
UR - https://ijnaa.semnan.ac.ir/article_5336.html
L1 - https://ijnaa.semnan.ac.ir/article_5336_4dbcea5384f00dd7d327f6be1ebc2c10.pdf
ER -