On a notion of averaged mappings in \(\operatorname{CAT}(0)\) spaces

DOI10.1134/S0016266322010038zbMath1502.54022MaRDI QIDQ2160239

Arian Bërdëllima

Publication date: 3 August 2022

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

weak convergencefirmly nonexpansive mappingaveraged mapping\( \operatorname{CAT}(0)\) space

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

• Compositions and convex combinations of averaged nonexpansive operators
• The asymptotic behavior of the composition of firmly nonexpansive mappings
• Cyclic projections in Hadamard spaces
• Nonexpansive projections on subsets of Banach spaces
• Quasilinearization and curvature of Aleksandrov spaces
• Convex analysis and optimization in Hadamard spaces
• Remarks on Some Fixed Point Theorems
• On Projection Algorithms for Solving Convex Feasibility Problems
• Quantitative Convergence Analysis of Iterated Expansive, Set-Valued Mappings
• Mean Value Methods in Iteration
• Convex analysis and monotone operator theory in Hilbert spaces
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
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