Additional Information
Author(s) | DE Souza, G. S., Nnyaba, U. V., Romanus, O. M., Chidume, C. E. |
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An algorithm is constructed to approximate a zero of a maximal monotone operator in a uniformly convex and uniformly
smooth real Banach space. The sequence of the algorithm is proved to converge strongly to a zero of the maximal monotone map.
In the case where the Banach space is a real Hilbert space, our theorem complements the celebrated proximal point algorithm of Martinet and Rockafellar. Furthermore, our convergence theorem is applied to approximate a solution of a Hammerstein integral equation in our general setting. Finally, numerical experiments are presented to illustrate the convergence of our algorithm.
Author(s) | DE Souza, G. S., Nnyaba, U. V., Romanus, O. M., Chidume, C. E. |
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