Quantitative inconsistent feasibility for averaged mappings

DOI10.1007/S11590-021-01812-2OpenAlexW3207101634MaRDI QIDQ2673538

Andrei Sipoş

Publication date: 10 June 2022

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01513

zbMATH Keywords

resolventsnonexpansive mappingsaveraged mappingsproof miningrates of asymptotic regularity

Mathematics Subject Classification ID

Operator theory (47-XX)

Cites Work

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• Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular
• On the quantitative asymptotic behavior of strongly nonexpansive mappings in Banach and geodesic spaces
• On the minimal displacement vector of compositions and convex combinations of nonexpansive mappings
• Image d'une somme d'opérateurs monotones et applications
• Tight global linear convergence rate bounds for Douglas-Rachford splitting
• A polynomial rate of asymptotic regularity for compositions of projections in Hilbert space
• The magnitude of the minimal displacement vector for compositions and convex combinations of firmly nonexpansive mappings
• Douglas-Rachford splitting for the sum of a Lipschitz continuous and a strongly monotone operator
• The composition of projections onto closed convex sets in Hilbert space is asymptotically regular
• Solving monotone inclusions via compositions of nonexpansive averaged operators
• PROOF-THEORETIC METHODS IN NONLINEAR ANALYSIS
• Applied Proof Theory: Proof Interpretations and Their Use in Mathematics
• The solution by iteration of nonlinear functional equations in Banach spaces
• Convex analysis and monotone operator theory in Hilbert spaces

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