A two-step inertial algorithm for solving the split common fixed point problem with multiple output sets and its application to signal recovery

Nazari, Esmaeil; Chegini, Nabi

doi:10.22055/jamm.2026.50369.2402

A two-step inertial algorithm for solving the split common fixed point problem with multiple output sets and its application to signal recovery

Articles in Press

Document Type : Original Paper

Authors

Esmaeil Nazari ¹

nabi chegini ²

¹ Department of Mathematics, Tafresh University, Tafresh. Iran

² Department of Mathematics, Tafresh university, Tafresh 39518 79611, Iran

10.22055/jamm.2026.50369.2402

Abstract

In this paper, we propose a two-step inertial algorithm for solving the split common fixed point problem with multiple output sets for generalized demimetric mappings in Hilbert spaces. The proposed algorithm utilizes previous iterates to enhance the convergence speed. The step size is self-adaptive and requires only simple computations, without the need to compute operator norms. Under suitable conditions, we establish the strong convergence of the sequence generated by the algorithm to a solution of the split common fixed point problem with multiple output sets. Several numerical examples, including an application to signal recovery, are provided to demonstrate the efficiency and performance of the proposed method.

Keywords

Split common fixed point problem

Two step inertial algorithm,

Generalized demimetric mapping

Subjects