Convex Minimization Problems on Geodesic Spaces and the Shrinking Projection Method with Errors

DOI10.1007/978-981-15-5455-1_16OpenAlexW3083571627MaRDI QIDQ4958187

Yasunori Kimura

Publication date: 7 September 2021

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-5455-1_16

zbMATH Keywords

resolventfixed pointapproximationconvex minimization problemshrinking projection method

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Convex functions and convex programs in convex geometry (52A41)

Cites Work

• Spherical nonspreadingness of resolvents of convex functions in geodesic spaces
• Convergence of subsets of a complete geodesic space with curvature bounded above
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• Two convergence theorems to fixed point of a nonexpansive mapping on the unit sphere of a Hilbert space
• Monotone Operators and the Proximal Point Algorithm
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