Existence of generalized equilibria

DOI10.1016/S0362-546X(99)00198-4zbMath1030.49020MaRDI QIDQ5935775

Bernard Cornet, Marc-Olivier Czarnecki

Publication date: 9 February 2004

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

zbMATH Keywords

fixed pointEuler characteristicequilibriumClarke's tangent cone

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Set-valued and function-space-valued mappings on manifolds (58C06)

Related Items (9)

Sublevel representations of epi-Lipschitz sets and other properties ⋮ On nonlinear inclusions in non-smooth domains ⋮ Existence of equilibria with a tight marginal pricing rule ⋮ The marginal pricing rule revisited ⋮ On the dynamics of a differential inclusion built upon a nonconvex constrained minimization problem ⋮ Topological properties of asymptotically stable sets ⋮ Representations of epi-Lipschitzian sets ⋮ Approximation and regularization of Lipschitz functions: Convergence of the gradients ⋮ Existence of equilibria of set-valued maps on bounded epi-Lipschitz domains in Hilbert spaces without invariance conditions

Cites Work

• Continuous selections. I
• Euler characteristic and fixed-point theorems
• Theory of Bessel potentials. II
• Fixed-point theorems and Morse's lemma for Lipschitzian functions
• Curvature Measures
• Optimization and nonsmooth analysis
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• Clarke's tangent cones and the boundaries of closed sets in Rn
• Smooth Normal Approximations of epi-Lipschitzian subsets of $\mathbbR^n$
• Smooth representations of epi-Lipschitzian subsets of
• Equilibria of set-valued maps on nonconvex domains
• Local differentiability of distance functions
• Fixed points and equilibria in nonconvex sets
• Prox-regular functions in variational analysis
• A Fixed-Point Theorem for Inward and Outward Maps
• Equilibria of set-valued maps: A variational approach
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