Rockafellar’s proximal point algorithm is known to be not strongly convergent in general in an infinite-dimensional Hilbert space. Effort has thus been made to modify this algorithm so that strong… Click to show full abstract
Rockafellar’s proximal point algorithm is known to be not strongly convergent in general in an infinite-dimensional Hilbert space. Effort has thus been made to modify this algorithm so that strong convergence is guaranteed. In this paper we provide a strongly convergent modification of Rockafellar’s proximal point algorithm in a uniformly convex Banach space which is not necessarily smooth.
               
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