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THE PROXIMAL POINT ALGORITHM IN UNIFORMLY CONVEX METRIC SPACES
Communications of the Korean Mathematical Society
We introduce the proximal point algorithm in a p-uniformly convex metric space. We first introduce the notion of p-resolvent map in a p-uniformly convex metric space as a generalization of the Moreau-Yosida resolvent in a CAT(0)-space, and then we secondly prove the convergence of the proximal point algorithm by the p-resolvent map in a p-uniformly convex metric space.doi:10.4134/ckms.c150114 fatcat:urw3nbvwpna3dnlpjkgw7cdtkq