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math.FA2017★ 5 cited
The proximal point algorithm in geodesic spaces with curvature bounded above
Yasunori Kimura, Fumiaki Kohsaka
We investigate the asymptotic behavior of sequences generated by the proximal point algorithm for convex functions in complete geodesic spaces with curvature bounded above. Using t…
math.FA2017★ 1 cited
Two modified proximal point algorithms in geodesic spaces with curvature bounded above
Yasunori Kimura, Fumiaki Kohsaka
We obtain existence and convergence theorems on two variants of the proximal point algorithm for proper lower semicontinuous convex functions in complete geodesic spaces with curva…