Generalized differentiation and fixed points sets behaviors with respect to Fisher convergence

DOI10.1016/j.jmaa.2011.09.009zbMath1230.47081OpenAlexW2065293139MaRDI QIDQ645409

Michel H. Geoffroy, Géraldine Pascaline

Publication date: 15 November 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.09.009

zbMATH Keywords

set-valued mappingspositively homogeneous mappingsvariational convergenceset-valued contractionsouter normstability of fixed points setsstability of generalised differentiation

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Fixed-point theorems (47H10) Set-valued operators (47H04)

Related Items (4)

More on the behaviors of fixed points sets of multifunctions and applications ⋮ A Newton iteration for differentiable set-valued maps ⋮ An inverse mapping theorem for \(H\)-differentiable set-valued maps ⋮ Inverse of the Sum of Set-Valued Mappings and Applications

Cites Work

• Robinson's implicit function theorem and its extensions
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• Distance functionals and suprema of hyperspace topologies
• Maximum principle in the problem of time optimal response with nonsmooth constraints
• Stability of subdifferentials of nonconvex functions in Banach spaces
• Stability of slopes and subdifferentials
• Multi-valued contraction mappings
• Generalized Differentiation with Positively Homogeneous Maps: Applications in Set-Valued Analysis and Metric Regularity
• Continuity and differentiability of set-valued maps revisited in the light of tame geometry
• Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings
• Generalized Gradients and Applications
• On the graph convergence of subdifferentials of convex functions
• Continuous Dependence of Fixed Point Sets
• Monotone processes of convex and concave type
• Normed Convex Processes
• Set-valued analysis
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