12 citations · 23 across the 8 of their papers we have counts for
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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★ 4 cited
Existence and approximation of fixed points of vicinal mappings in geodesic spaces
Fumiaki Kohsaka
We propose the concepts of vicinal mappings and firmly vicinal mappings in metric spaces. We obtain fixed point and convergence theorems for these mappings in complete geodesic spa…
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…