Work

Creating a novel algorithm for studying the strong convergence to a sequence with applications

Year: 2025

Type: article

Abstract: This manuscript introduces a novel algorithm tailored to investigate the strong convergence of sequences under specific conditions. Notably, the framework incorporates a finite family of generalized demimetric operators within real Hilbert spaces, broadening existing operator theory. The proposed algorithm efficiently establishes strong convergence and demonstrates its versatility through successful applications, including proving the existence of solutions to split minimization and feasibility problems, thereby showcasing its potential in optimization and numerical analysis.

Source: PLoS ONE

DOI: 10.1371/journal.pone.0319047

Authors: Hasanen A. Hammad, Mohammed E. Dafaalla, Manal Elzain Mohamed Abdalla

Institutions: Qassim University, King Khalid 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: $2,382

Funder: King Khalid University