The weak Ekeland variational principle and fixed points

DOI10.1016/j.na.2014.01.022zbMath1285.49011OpenAlexW2034657666MaRDI QIDQ2443032

Asen L. Dontchev, Gerald A. Beer

Publication date: 4 April 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.01.022

zbMATH Keywords

differential inclusionmetric regularityAubin propertyNadler's fixed-point theoremweak Ekeland variational principle

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Ordinary differential inclusions (34A60)

Related Items (4)

On the cardinality of the coincidence set for mappings of metric, normed and partially ordered spaces ⋮ Inverse of the Sum of Set-Valued Mappings and Applications ⋮ Pseudo-contractivity and metric regularity in fixed point theory ⋮ Metric regularity, fixed points and some associated problems of variational analysis

Cites Work

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• A fast iterative scheme for variational inclusions
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• Calculus Without Derivatives
• Solution Sets for Differential Equations and Inclusions
• Metric Regularity of Newton's Iteration
• Lipschitz Behavior of Solutions to Convex Minimization Problems
• Nonconvex minimization problems
• A Characterization of Complete Metric Spaces
• An Inverse Mapping Theorem for Set-Valued Maps
• Convergence of the Proximal Point Method for Metrically Regular Mappings
• Set-valued analysis

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