Work

Relaxed inertial self-adaptive algorithm for the split feasibility problem with multiple output sets and fixed-point problem in the class of demicontractive mappings

Year: 2024

Type: article

Abstract: The purpose of this paper is to study the split feasibility problem with multiple output sets and fixed point problem in the class of demicontractive mappings and propose relaxed inertial self-adaptive algorithms that do not use the least squares method. Under some appropriate assumptions, we establish a strong convergence result for the sequence generated by the proposed algorithm. Our result generalizes and extends several results existing in the literature. Finally, we illustrate the convergence of the proposed algorithm by using a numerical example.

Source: Fixed Point Theory and Algorithms for Sciences and Engineering

DOI: 10.1186/s13663-024-00771-4

Authors: Solomon Gebregiorgis, Poom Kumam, Kanokwan Sitthithakerngkiet

Institutions: Jimma University, King Mongkut's University of Technology Thonburi, Center of Excellence in Theoretical and Computational Science, King Mongkut's University of Technology North Bangkok

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: $1,590

OpenAlex ID: W4403369589

FWCI: 0.195

Cites: 22

Cited by: 1

Related to: 10