Ekeland's theorem and UC spaces

DOI10.1080/02331934.2011.603324zbMath1262.49016OpenAlexW2024931601MaRDI QIDQ4916305

Gerald A. Beer

Publication date: 22 April 2013

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2011.603324

zbMATH Keywords

fixed pointlower semicontinuous functionEkeland's variational principleminimizing sequenceAtsuji spaceUC spaceisolation functional

Mathematics Subject Classification ID

Variational inequalities (49J40) Complete metric spaces (54E50) Metric spaces, metrizability (54E35) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Methods involving semicontinuity and convergence; relaxation (49J45) Real-valued functions in general topology (54C30)

Cites Work

• A note on epsilon-subgradients and maximal monotonicity
• Uniform continuity of continuous functions of metric spaces
• Spaces whose finest uniformity is metric
• 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
• On the variational principle
• Between compactness and completeness
• UC Spaces Revisited
• Nonconvex minimization problems

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