Work

A Pre-Conditioning CQ Algorithm with Double Inertia and Self-Updated Stepsizes for Split Feasibility Problems in Hilbert Spaces

Year: 2026

Type: article

Abstract: In this work, we propose a double inertial pre-conditioning CQ Algorithm for split feasibility problem in real Hilbert spaces, in which, we use the double inertial steps and new stepsizes to speed up the convergent rate. We also compute the only one projection onto the nonempty closed convex set C in our proposed method. These help improve the numerical results. Next, we establish the weak convergence of the sequence generated by our method. Finally, we use a numerical experiment to demonstrate our theoretical results.

Source: Symmetry

DOI: 10.3390/sym18020321

Authors: Yu Zhang, Xiaojun Ma

Institutions: Hubei University of Education, Shanxi Datong University

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: $2,896

Funder: Natural Science Foundation of Hubei Province