Inertial dynamic subgradient algorithm for solving equilibrium problems over common fixed point sets
Optimization Eruditorum, Volume 2, Issue 2, August 2025, Pages 132–145
MANATCHANOK KHONCHALIEW
Department of Mathematics, Faculty of Science, Lampang Rajabhat University, Lampang 52100, Thailand
NIMIT NIMANA
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
NARIN PETROT
Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
Centre of Excellence in Nonlinear Analysis and Optimization, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
Abstract
This paper presents an inertial dynamic subgradient algorithm to solve the strongly monotone equilibrium problem over the common fixed point sets of a finite family of quasi-nonexpansive mappings in a real Hilbert space. According to certain constraint qualifications on the scalar sequences, we show the strong convergence theorem of the proposed algorithm by integrating inertial and subgradient methods along with dynamic weight. Numerical experiments are performed to illustrate the efficacy of the proposed algorithm.
Cite this Article as
Manatchanok Khonchaliew, Nimit Nimana, Narin Petrot, Inertial dynamic subgradient algorithm for solving equilibrium problems over common fixed point sets, Optimization Eruditorum, 2(2), 132–145, 2025