Full Text: PDF
DOI: 10.23952/jnfa.2023.36
Received August 5, 2023; Accepted October 14, 2023; Published Nobember 7, 2023
Abstract. In this paper, we present a new iterative scheme with a self-adaptive step size for finding a common solution of the split null point and common fixed point problem for an infinite family of multivalued demicontractive mappings between a Banach space and a Hilbert space. We demonstrate strong convergence result with a self-adaptive step size without a priori estimate of the norm of the linear operator under some suitable conditions. A numerical result is also presented to support our main results.
How to Cite this Article:
Y. Zhang, Y. Wang, A new inertial iterative algorithm for split null point and common fixed point problems, J. Nonlinear Funct. Anal. 2023 (2023) 36.