Existence of equilibria of set-valued maps on bounded epi-Lipschitz domains in Hilbert spaces without invariance conditions

DOI10.1016/j.na.2009.06.060zbMath1225.47058OpenAlexW1999564312MaRDI QIDQ1049503

Marc Quincampoix, Mikhail Kamenskii, Anastasia Nikolaevna Gudovich

Publication date: 12 January 2010

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.2009.06.060

zbMATH Keywords

fixed pointdegree theorycondensing operator

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued functions (26E25) Fixed-point theorems (47H10) Set-valued operators (47H04) Degree theory for nonlinear operators (47H11) Ordinary differential inclusions (34A60) General equilibrium theory (91B50) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items (1)

On nonlinear inclusions in non-smooth domains

Cites Work

• Existence of periodic solutions of a ordinary differential equation perturbed by a small parameter: An averaging approach
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Euler characteristic and fixed-point theorems
• On existence of solutions to differential equations or inclusions remaining in a prescribed closed subset of a finite-dimensional space.
• Homotopy invariants for tangent vector fields on closed sets
• Existence of fixed points on compact epilipschitz sets without invariance conditions
• Fixed-point theorems and Morse's lemma for Lipschitzian functions
• Optimization and nonsmooth analysis
• Clarke's tangent cones and the boundaries of closed sets in Rn
• Méthodes d'approximation en théorie du point fixe et de l'équilibre
• Smooth Normal Approximations of epi-Lipschitzian subsets of $\mathbbR^n$
• Equilibria of set-valued maps on nonconvex domains
• Variational Analysis
• Equilibria and strict equilibria of multivalued maps on noninvariant sets
• Set-valued analysis
• Viability theory
• Existence of generalized equilibria
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