Graph-distance convergence and uniform local boundedness of monotone mappings

DOI10.1090/S0002-9939-03-07179-XzbMath1052.47047OpenAlexW2055058832WikidataQ57580552 ScholiaQ57580552MaRDI QIDQ4425408

Teemu Pennanen, Michel Théra, Julian Petrov Revalski

Publication date: 10 September 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07179-x

zbMATH Keywords

maximal monotone mappingHausdorff convergencegraph-distance convergence

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Set-valued functions (26E25) Set-valued maps in general topology (54C60) Set-valued operators (47H04)

Related Items

Representative functions, variational convergence and almost convexity

Cites Work

• Minimax monotonicity
• Local boundedness of nonlinear, monotone operators
• On the maximal monotonicity of subdifferential mappings
• Quantitative Stability of Variational Systems: I. The Epigraphical Distance
• The EPI-Distance Topology: Continuity and Stability Results with Applications to Convex Optimization Problems
• Topologies and convergences on the space of convex functions
• Quantitative stability analysis for maximal monotone operators and semi-groups of contractions
• Variational Analysis
• Dualization of Generalized Equations of Maximal Monotone Type
• Graphical convergence of sums of monotone mappings
• On the Maximality of Sums of Nonlinear Monotone Operators
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