Work

A Two-Step Inertial CQ Method for Split Feasibility Problems with Applications

Year: 2025

Type: article

Abstract: This paper introduces an algorithm for approximating solutions of split feasibility problems by employing a two-step inertial acceleration strategy along with a self-adaptive step size. This combination enhances the convergence rate and reduces computational complexity of the proposed algorithm. The nonasymptotic O(1/t) convergence rate and global convergence of the proposed method are established within the context of Euclidean spaces. The algorithm is extended to handle multiple set split feasibility problems, and a sensitivity analysis is conducted to identify optimal inertial parameter choices. Additionally, the algorithm is applied to the LASSO problem. Comparative evaluations with various algorithms from existing literature showcase the superior performance of the proposed algorithm.

Source: Bangmod International Journal of Mathematical and Computational Science

DOI: 10.58715/bangmodjmcs.2025.11.2

Authors: Abubakar Adamu, Grace Nnennaya Ogwo, Chibueze Christain Okeke, Bertin Zinsou

Institutions: Near East University, Zhejiang Normal University, University of the Witwatersrand

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408277778

FWCI: 0.494

Cites:

Cited by: 1

Related to: 10