DOI: 10.24193/fpt-ro.2025.1.02

Authors: Yirga Abebe Belay, H. Zegeye and O.A. Boikanyo

Abstract: In this study, we introduce an inertial algorithm for solving the split equality fixed point problem in real Hilbert spaces under the assumption that the underlying mappings are uniformly continuous pseudocontractive self-mappings. We prove a strong convergence theorem under some mild conditions. We also provide numerical examples to demonstrate the applicability of the algorithm. The results in this paper extend and generalize many of the results in the literature as the problem considered is a more general split equality problem with an inertial approach.

Key Words and Phrases: Fixed point, Hilbert space, inertial method, monotone mapping, pseudocontractive mapping, split equality, uniform continuity.

2010 Mathematics Subject Classification: 46N10, 47B02, 47H05, 47H06, 47H09, 47H10, 47J25, 90C25.

Published on-line: February 1st, 2025.

Fulltext pdf

Back to volume's table of contents