Spherical nonspreadingness of resolvents of convex functions in geodesic spaces

DOI10.1007/s11784-015-0267-7zbMath1334.54065OpenAlexW2137811540MaRDI QIDQ266359

Yasunori Kimura, Fumiaki Kohsaka

Publication date: 13 April 2016

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-015-0267-7

zbMATH Keywords

resolventfixed pointconvex functionminimizergeodesic spacespherically nonspreading mapping

Mathematics Subject Classification ID

Convex programming (90C25) Fixed-point and coincidence theorems (topological aspects) (54H25) Convex functions and convex programs in convex geometry (52A41) Special maps on metric spaces (54E40)

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Cites Work

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• Convex functions and barycenter on CAT(1)-spaces of small radii
• Halpern iteration for strongly quasinonexpansive mappings on a geodesic space with curvature bounded above by one
• The Mann algorithm in a complete geodesic space with curvature bounded above
• Convergence of subsets of a complete geodesic space with curvature bounded above
• A concept of convergence in geodesic spaces
• Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
• CAT\((k)\)-spaces, weak convergence and fixed points
• Gradient flows on nonpositively curved metric spaces and harmonic maps
• Convex functionals and generalized harmonic maps into spaces of non positive curvature
• The proximal point algorithm in metric spaces
• Fixed point theorems for a new nonlinear mapping similar to a nonspreading mapping
• Nonexpansive projections on subsets of Banach spaces
• Fixed points of uniformly Lipschitzian mappings
• Convergence theorems for sequences of nonlinear operators in Banach spaces
• Asymptotic behavior of contractions in Hilbert space
• Convex analysis and optimization in Hadamard spaces
• Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
• Convex analysis and monotone operator theory in Hilbert spaces