Two-step inertial viscosity subgradient extragradient algorithm with self-adaptive step sizes for solving pseudomonotone equilibrium problems
Year: 2025
Type: article
Abstract: This paper presents a two-step inertial viscosity subgradient extragradient algorithm with self adaptive step sizes for finding a solution to pseudomonotone equilibrium problems in the setting of a real Hilbert space, where such a solution also includes some additional properties. Without prior knowledge of the Lipschitz constants of the pseudomonotone bifunction, the strong convergence theorem of the suggested algorithm is provided under some mild constraint qualifications for the scalar sequences. To demonstrate the effectiveness of the constructed algorithm, numerical experiments are performed on Nash-Cournot oligopolistic equilibrium models of electricity markets, Nash-Cournot models, and the image restoration problem
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: bronze
Funder: Naresuan University
OpenAlex ID: W4415436627