TY - JOUR
T1 - Inertial Bilevel Variational Monotone Inclusion Problem in Banach Spaces
AU - Ezugorie, Ikechukwu Godwin
AU - Ugwunnadi, Godwin Chidi
AU - Ofoedu, Eric Uwadiegwu
AU - Aphane, Maggie
N1 - Publisher Copyright:
© 2024 the author(s).
PY - 2024
Y1 - 2024
N2 - In this paper, we study accelerated Halpern-type iterative method for finding zero solution of sum of two monotone operators which solves variational inequality problem of inverse strongly monotone mapping in 2-uniformly convex and uniformly smooth real Banach spaces. The strong convergence of our proposed method is establish under some standard conditions imposed on parameters. Our theorems generalize many recently announced results in the literature.
AB - In this paper, we study accelerated Halpern-type iterative method for finding zero solution of sum of two monotone operators which solves variational inequality problem of inverse strongly monotone mapping in 2-uniformly convex and uniformly smooth real Banach spaces. The strong convergence of our proposed method is establish under some standard conditions imposed on parameters. Our theorems generalize many recently announced results in the literature.
KW - Banach spaces
KW - monotone and inverse mappings
KW - strong convergence
KW - variational inclusion problem
UR - http://www.scopus.com/inward/record.url?scp=85210017916&partnerID=8YFLogxK
U2 - 10.28924/2291-8639-22-2024-210
DO - 10.28924/2291-8639-22-2024-210
M3 - Article
AN - SCOPUS:85210017916
SN - 2291-8639
VL - 22
JO - International Journal of Analysis and Applications
JF - International Journal of Analysis and Applications
M1 - 210
ER -