TY - JOUR
T1 - INERTIAL EXTRAPOLATION METHOD WITH REGULARIZATION FOR SOLVING MONOTONE BILEVEL VARIATION INEQUALITIES AND FIXED POINT PROBLEMS
AU - Akutsah, Francis
AU - Mebawondu, Akindele Adebayo
AU - Ugwunnadi, Godwin Chidi
AU - Narain, Ojen Kumar
N1 - Funding Information:
We thank the anonymous referees whose comments and suggestions greatly improve the quality of this work. The second author acknowledges with thanks the bursary and financial support from Department of Science and Technology and National Research Foundation, Republic of South Africa Centre of Excellence in Mathematical and Statistical Sciences (DST-NRF CoE-MaSS) Postdoctoral Fellowship. Opinions stated and conclusions reached are solely those of the author and should not be ascribed to the CoE-MaSS in any way.
Publisher Copyright:
© 2022 Journal of Nonlinear Functional Analysis
PY - 2022
Y1 - 2022
N2 - The purpose of this paper is to introduce a generalized inertial extrapolation iterative method with regularization for approximating a solution of monotone and Lipschitz variational inequality and fixed point problems. In real Hilbert spaces, the strong convergence of the iterative method is obtained under certain conditions imposed on regularization parameters. Some numerical experiments are provided to show the efficiency and applicability of the proposed method.
AB - The purpose of this paper is to introduce a generalized inertial extrapolation iterative method with regularization for approximating a solution of monotone and Lipschitz variational inequality and fixed point problems. In real Hilbert spaces, the strong convergence of the iterative method is obtained under certain conditions imposed on regularization parameters. Some numerical experiments are provided to show the efficiency and applicability of the proposed method.
KW - Bilevel variational inequality
KW - Fixed point
KW - Inertial iterative scheme
KW - Nonexpansive mapping
UR - http://www.scopus.com/inward/record.url?scp=85133761533&partnerID=8YFLogxK
U2 - 10.23952/jnfa.2022.5
DO - 10.23952/jnfa.2022.5
M3 - Article
AN - SCOPUS:85133761533
SN - 2052-532X
VL - 2022
JO - Journal of Nonlinear Functional Analysis
JF - Journal of Nonlinear Functional Analysis
M1 - 5
ER -