@article{f8c60b97cb5f46e8bb61040d3349c2b4,
title = "Inertial extrapolation method with regularization for solving a new class of bilevel problem in real Hilbert spaces",
abstract = "The purpose of this paper is to introduce a new class of bilevel problem in the frame work of a real Hilbert space. In addition, we introduce an inertial iterative method with a regularization term and we establish the strong convergence of the resulting methods under certain conditions imposed on regularization parameters. Finally, we present some numerical experiments to show the efficiency and applicability of the proposed method. The results obtained in this paper extend, generalize and improve several results in this direction.",
keywords = "Bilevel variational inequality, Fixed point problem, Inertial iterative scheme, Split feasibility problem, Split variational inequality problem",
author = "Francis Akutsah and Mebawondu, {Akindele Adebayo} and Ugwunnadi, {Godwin Chidi} and Paranjothi Pillay and Narain, {Ojen Kumar}",
note = "Funding Information: 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: {\textcopyright} 2022, The Author(s), under exclusive licence to Sociedad Espa{\~n}ola de Matem{\'a}tica Aplicada.",
year = "2022",
doi = "10.1007/s40324-022-00293-2",
language = "English",
journal = "SeMA Journal",
issn = "2254-3902",
publisher = "Springer Nature",
}