Lipschitz functions and Ekeland's theorem

DOI10.1007/s10957-011-9942-zzbMath1237.90256OpenAlexW1999818030MaRDI QIDQ415391

Jose Ceniceros, Gerald A. Beer

Publication date: 8 May 2012

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

Full work available at URL: https://doi.org/10.1007/s10957-011-9942-z

zbMATH Keywords

complete metric spaceEkeland variational principleHausdorff distanceLipschitz functionAttouch-Wets convergenceLipschitz regularization

Mathematics Subject Classification ID

Programming in abstract spaces (90C48)

Related Items (2)

McShane's extension theorem revisited ⋮ The weak Ekeland variational principle and fixed points

Cites Work

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• Convexity and well-posed problems
• Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T.I.F.R.-I.I.Sc. programme in applications of mathematics
• The topology of the \(\rho\)-Hausdorff distance
• Distance functionals and suprema of hyperspace topologies
• Convex functions, monotone operators and differentiability
• A unified functional look at completion in MET, UNIF and AP
• On the variational principle
• Nonconvex minimization problems
• A Characterization of Complete Metric Spaces
• Extension of Lipschitz functions

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