Uniform convexity and convergence of a sequence of sets in a complete geodesic space

DOI10.1155/2022/9534978zbMath1506.46056OpenAlexW4206568039MaRDI QIDQ2675693

Shuta Sudo, Yasunori Kimura

Publication date: 24 September 2022

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/9534978

zbMATH Keywords

uniform convexityconvergence of a sequence of setscomplete geodesic space

Mathematics Subject Classification ID

Complete metric spaces (54E50) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Cites Work

• Convergence of subsets of a complete geodesic space with curvature bounded above
• Convergence of a sequence of sets in a Hadamard space and the shrinking projection method for a real Hilbert ball
• Mann's algorithm for nonexpansive mappings in CAT\((\kappa)\) spaces
• Convergence of best approximations in a smooth Banach space
• A concept of convergence in geodesic spaces
• CAT\((k)\)-spaces, weak convergence and fixed points
• Convex analysis and optimization in Hadamard spaces
• Inequalities in Banach spaces with applications
• Concentration Compactness

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