On convergence of the proximal point algorithm in Banach spaces

Matsushita, Shin-ya; Xu, Li

doi:10.1090/S0002-9939-2011-10883-9

On convergence of the proximal point algorithm in Banach spaces
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by Shin-ya Matsushita and Li Xu

Proc. Amer. Math. Soc. 139 (2011), 4087-4095

DOI: https://doi.org/10.1090/S0002-9939-2011-10883-9

Published electronically: March 25, 2011

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Abstract:

In this paper, we give a sufficient condition which guarantees that the sequence generated by the proximal point algorithm terminates after a finite number of iterations.

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