Work

A Hybrid Inertial Method for Variational Inequalities with Applications to Traffic Flow Models

Year: 2026

Type: article

Abstract: In this paper, we introduce a hybrid inertial algorithm for solving variational inequality problems and split common fixed point problems in real Hilbert spaces. The proposed method combines inertial and viscosity techniques within a unified framework and extends several existing iterative schemes. Under appropriate conditions, we establish strong convergence of the generated sequence. As applications, we consider the generalized split feasibility problem and convex minimization. A numerical example arising from traffic flow modeling is presented to demonstrate the effectiveness of the proposed method.

Source: Mathematics

DOI: 10.3390/math14162978

Authors: Pimpawee Khumsup, Atid Kangtunyakarn

Institution: King Mongkut's Institute of Technology Ladkrabang

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: National Research Council of Thailand