12 citations · 22 across the 6 of their papers we have counts for
6 papers · 1 filter
Resolvents of equilibrium problems in a complete geodesic space with negative curvature
Yasunori Kimura, Tomoya Ogihara
In this paper, we propose a resolvent of an equilibrium problem in a geodesic space with negative curvature having the convex hull finite property. We prove its well-definedness as…
Halpern iteration for a finite family of quasinonexpansive mappings on a complete geodesic space with curvature bounded above by one
Tatsuki Ezawa, Yasunori Kimura
In this paper, we consider the Halpern iteration scheme for a finite family of quasinonexpansive mappings and then prove a strong convergence theorem to their common fixed point in…
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…
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…
Strong convergence theorems for strongly relatively nonexpansive sequences and applications
Koji Aoyama, Yasunori Kimura, Fumiaki Kohsaka
The aim of this paper is to establish strong convergence theorems for a strongly relatively nonexpansive sequence in a smooth and uniformly convex Banach space. Then we employ our…
A note on the hybrid steepest descent methods
Koji Aoyama, Yasunori Kimura
The aim of this paper is to prove that, in an appropriate setting, every iterative sequence generated by the hybrid steepest descent method is convergent whenever so is every itera…