Work

An Efficient Single Projection Scheme for Solving Bilevel Variational Inequality Problems: Application to Fractional Programming Problem

Year: 2025

Type: article

Abstract: This research examines the bilevel monotone variational inequality problem and presents a novel single projection technique for finding solutions in Hilbert spaces. The proposed algorithm enhances convergence speed by incorporating inertial techniques and self-adaptive step sizes. Unlike conventional methods, this approach requires only one projection onto a half-space, thus reducing computational costs. The study demonstrates strong convergence results for the algorithm under moderate conditions on control parameters. Through various numerical experiments, the method’s efficacy is illustrated, highlighting its advantages. Furthermore, the research extends the application of this technique to tackle fractional programming problems.

Source: Results in Mathematics

DOI: 10.1007/s00025-025-02528-w

Authors: Timilehin O. Alakoya, Amara R. Eze, Olaniyi S. Iyiola, Oluwatosin T. Mewomo, Odirachukwunma U. Ugwu

Institutions: Queen's University Belfast, Morgan State University, Tarleton State University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

OpenAlex ID: W4414586149