Favorable classes of mappings and multimappings in nonlinear analysis and optimization.
Subdifferential calculus without qualification assumptions.
Continuity properties of projection operators.
Harmonic sum and duality.
Characterizations of metric projections in Banach spaces and applications.
Elements of quasiconvex subdifferential calculus.
Subdifferentials of Performance Functions and Calculus of Coderivatives of Set-Valued Mappings
The paper contains calculus rules for coderivatives of compositions, sums and intersections of set-valued mappings. The types of coderivatives considered correspond to Dini-Hadamard and limiting Dini-Hadamard subdifferentials in Gˆateaux differentiable spaces, Fréchet and limiting Fréchet subdifferentials in Asplund spaces and approximate subdifferentials in arbitrary Banach spaces. The key element of the unified approach to obtaining various calculus rules for various types of derivatives presented...
Introduction to the volume
Fixed point theorems without convexity
Calcul différentiel dans les espaces vectoriels topologiques
Rotundity, smoothness and duality
Sur le théorème de Frobenius
La notion d'application analytique
Inversion of multifunctions and differential inclusions
Paraconvex functions and paraconvex sets
We study a class of functions which contains both convex functions and differentiable functions whose derivatives are locally Lipschitzian or Hölderian. This class is a subclass of the class of approximately convex functions. It enjoys refined properties. We also introduce a class of sets whose associated distance functions are of that type. We discuss the properties of the metric projections on such sets under some assumptions on the geometry of the Banach spaces in which they are embedded. We...
Uniformly convex and uniformly smooth convex functions
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