Please use this identifier to cite or link to this item: https://hdl.handle.net/10321/5436
Title: An inertial Tseng algorithm for solving quasimonotone variational inequality and fixed point problem in Hilbert spaces
Authors: Kajola, Shamsudeen Abiodun 
Narain, Ojen Kumar 
Maharaj, Adhir 
Keywords: Hilbert space;Quasimonotone;Strong convergence;Variational inequality
Issue Date: Feb-2024
Publisher: Kyungnam University Press
Source: Kajola, S.A., Narain, O.K. and Maharaj, A. 2024. An inertial Tseng algorithm for solving quasimonotone variational inequality and fixed point problem in Hilbert spaces. Nonlinear Functional Analysis and Applications. 29(3): 781-802. doi:10.22771/nfaa.2024.29.03.09
Journal: Nonlinear Functional Analysis and Applications; Vol. 29, Issue 3 
Abstract: 
In this paper, we propose an inertial method for solving a common solution to
fixed point and Variational Inequality Problem in Hilbert spaces. Under some standard and
suitable assumptions on the control parameters, we prove that the sequence generated by
the proposed algorithm converges strongly to an element in the solution set of Variational
Inequality Problem associated with a quasimonotone operator which is also solution to a
fixed point problem for a demimetric mapping. Finally, we give some numerical experiments
for supporting our main results and also compare with some earlier announced methods in
the literature.
URI: https://hdl.handle.net/10321/5436
ISSN: 1229-1595 (Print)
DOI: 10.22771/nfaa.2024.29.03.09
2466-0973 (Online)
Appears in Collections:Research Publications (Applied Sciences)

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