Cosmic divergence, weak cosmic convergence, and fixed points at infinity

DOI10.1007/s11784-018-0592-8OpenAlexW2962742338WikidataQ129687613 ScholiaQ129687613MaRDI QIDQ1615306

Ernest K. Ryu

Publication date: 30 October 2018

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

Full work available at URL: https://arxiv.org/abs/1709.02838

zbMATH Keywords

weak convergenceconvex optimizationnon-expansive mappingcosmic convergenceminimal displacement vector

Mathematics Subject Classification ID

Convex programming (90C25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (2)

Comments on the cosmic convergence of nonexpansive maps ⋮ Douglas-Rachford splitting and ADMM for pathological convex optimization

Cites Work

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• On a result of Pazy concerning the asymptotic behaviour of nonexpansive mappings
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• Asymptotic behavior of contractions in Hilbert space
• A maximin characterisation of the escape rate of non-expansive mappings in metrically convex spaces
• Asymptotic behavior of nonexpansive mappings in finite dimensional normed spaces
• On the Convergence of the Proximal Point Algorithm for Convex Minimization
• Proximité et dualité dans un espace hilbertien
• Convex analysis and monotone operator theory in Hilbert spaces

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