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General alternative regularization method for solving split equality common fixed point problem for quasi-pseudocontractive mappings in Hilbert spaces

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Abstract

We propose a general alternative regularization algorithm for solving the split equality fixed point problem for the class of quasi-pseudocontractive mappings in Hilbert spaces. We also illustrate the performance of our algorithm with numerical example and compare the result with some other algorithms in the literature in this direction. We found out that our algorithm requires a lesser number of iterations and CPU time for its convergence than some of the existing algorithms. Our results extend and generalize some existing results in the literature in this direction.

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Acknowledgements

The authors thank the anonymous referees for valuable and useful suggestions and comments which led to the great improvement of the paper.

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  1. School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

    A. Taiwo, L. O. Jolaoso & O. T. Mewomo

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  1. A. Taiwo
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  2. L. O. Jolaoso
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  3. O. T. Mewomo
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Correspondence to O. T. Mewomo.

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Taiwo, A., Jolaoso, L.O. & Mewomo, O.T. General alternative regularization method for solving split equality common fixed point problem for quasi-pseudocontractive mappings in Hilbert spaces. Ricerche mat 69, 235–259 (2020). https://doi.org/10.1007/s11587-019-00460-0

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