Abstract
The primary goal of this paper is to study and examine an inertial modified S-iteration method that combines modified S-iteration with inertial extrapolation term to approximate a common solution of the Cayley inclusion problem and the fixed point problem in the framework of real Hilbert space. Under some modest circumstances, we prove weak and strong convergence theorems. A numerical example is also provided to demonstrate the effectiveness of the proposed iterative algorithm. Finally, a comparison has also been carried out of our algorithm with an existing method.
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Husain, S., Khairoowala, M.U. & Furkan, M. Inertial modified S-iteration method for Cayley inclusion problem and fixed point problem. J. Appl. Math. Comput. 70, 5443–5457 (2024). https://doi.org/10.1007/s12190-024-02185-2
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DOI: https://doi.org/10.1007/s12190-024-02185-2
Keywords
- Cayley inclusion problem
- Cayley operator
- Nonexpansive mapping
- Fixed point problem
- Inertial modified S-iteration method