We introduce a new general proximal-point algorithm for an infinite family of monotone operators in a real Hilbert space and establish strong convergence of the iterative process to a common null point of the infinite family of monotone operators. Our result generalizes and improves numerous results in the available literature.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 11, pp. 1483–1492, November, 2016.
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Eslamian, M., Vahidi, J. General Proximal-Point Algorithm for Monotone Operators. Ukr Math J 68, 1715–1726 (2017). https://doi.org/10.1007/s11253-017-1322-x
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DOI: https://doi.org/10.1007/s11253-017-1322-x