Inertial iterative algorithm with self-adptive step sizes for split null point problems and common fixed point problems
Year: 2025
Type: article
Abstract: In this paper, we introduce a self-adaptive inertial iterative algorithm for solving a split null point problem with maximal monotone operators and a common fixed point problem of a finite family of multivaluted demicontractive mappings and an infinite family of strict pseudo-contractive mappings between a Banach space and a Hilbert space.Next, we prove a strong convergence result for the proposed algorithm under some mild conditions on the control parameters without a priori estimate of the norm of the linear operator involved.Then, we give a numerical example to illustrate the effectiveness of the algorithm.
DOI: 10.23952/jnfa.2025.5
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4411500644