WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
Strong Convergence of Inertial Mann’s Iteration for Enriched Mappings for Solving Variational Inequality Problems
Authors: , , , ,
Abstract: This paper proposes an iterative algorithm for solving variational inequality problems in real Hilbert
spaces involving enriched nonexpansive mapping. The proposed algorithm incorporates an inertial method to
enhance the convergence rate and employs a self-adaptive step size rule. This approach eliminates the need
for prior knowledge of the operator’s Lipschitz constant. Under standard and mild assumptions, we prove the
algorithms’ strong convergence. Additionally, numerical experiments are conducted to compare the performance
of the proposed schemes with existing iterative methods.
Search Articles
Keywords: Variational inclusion problem, Fixed point problem, Iterative algorithms, Enriched nonexpansive
mapping, Inertial extrapolation, Self-adaptive step size
Pages: 358-371
DOI: 10.37394/23206.2025.24.34