Work

On split common fixed point problem for multi-valued demicontractive mappings with multiple output sets in real Hilbert spaces

Year: 2026

Type: article

Abstract: In this paper, we propose a Halpern iterative method to approximate a solution of split common fixed point problem for multi-valued demicontractive mappings with multiple output set in the framework of real Hilbert spaces. Using our proposed algorithm, we state and prove a strong convergence theorem for approximating a solution of the aforementioned problems. Lastly, we display some numerical examples to show the performance of our iterative method. The result discussed in this article extends and complements many related results in literature.

Source: The Journal of Analysis

DOI: 10.1007/s41478-026-01135-4

Authors: H. A. Abass, O. K. Oyewole, M. Aphane

Institutions: Sefako Makgatho Health Sciences University, Tshwane University of Technology

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: $4,090

Funder: Tshwane University of Technology