Characterizing Optimality in Nonconvex Optimizationi
Chattering variational limits of control systems.
Chebyshev semi-iteration in preconditioning for problems including the mass matrix.
Checkerboards, Lipschitz functions and uniform rectifiability.
In his recent lecture at the International Congress [S], Stephen Semmes stated the following conjecture for which we provide a proof.Theorem. Suppose Ω is a bounded open set in Rn with n > 2, and suppose that B(0,1) ⊂ Ω, Hn-1(∂Ω) = M < ∞ (depending on n and M) and a Lipschitz graph Γ (with constant L) such that Hn-1(Γ ∩ ∂Ω) ≥ ε.Here Hk denotes k-dimensional Hausdorff measure and B(0,1) the unit ball in Rn. By iterating our proof we obtain a slightly stronger result which allows us...
Clarke critical values of subanalytic Lipschitz continuous functions
The main result of this note asserts that for any subanalytic locally Lipschitz function the set of its Clarke critical values is locally finite. The proof relies on Pawłucki's extension of the Puiseux lemma. In the last section we give an example of a continuous subanalytic function which is not constant on a segment of "broadly critical" points, that is, points for which we can find arbitrarily short convex combinations of gradients at nearby points.
Classical solutions of linear regulator for degenerate diffusions.
Classification générique de synthèses temps minimales avec cible de codimension un et applications
Closedness of the solution mapping to parametric vector equilibrium problems.
Closedness type regularity conditions for surjectivity results involving the sum of two maximal monotone operators
In this note we provide regularity conditions of closedness type which guarantee some surjectivity results concerning the sum of two maximal monotone operators by using representative functions. The first regularity condition we give guarantees the surjectivity of the monotone operator S(· + p) + T(·), where p ɛ X and S and T are maximal monotone operators on the reflexive Banach space X. Then, this is used to obtain sufficient conditions for the surjectivity of S + T and for the situation when...
Clusters minimizing area plus length of singular curves.
Co to je teorie životaschopnosti
Coalescence of measures and f-rearrangements of a function.
Co-density and other properties of the solution set of differential inclusions with noncompact right-hand side
There are studied two classes of differential inclusions with right-hand side admitting noncompact values in a Banach space. Co-density, lower semicontinuity in initial point and relaxation property of the solution set have been obtained.
Coerciveness property for a class of non-smooth functionals.
Coercivity of set-valued mappings on metric spaces.
Coercivity properties for order nonsmooth functionals.
Coincidence points and maximal elements of multifunctions on convex spaces
Generalized and unified versions of coincidence or maximal element theorems of Fan, Yannelis and Prabhakar, Ha, Sessa, Tarafdar, Rim and Kim, Mehta and Sessa, Kim and Tan are obtained. Our arguments are based on our recent works on a broad class of multifunctions containing composites of acyclic maps defined on convex subsets of Hausdorff topological vector spaces.
Coincidence set of minimal surfaces for the thin obstacle.
Coincidence theorems, generalized variational inequality theorems, and minimax inequality theorems for the -mapping on -convex spaces.
Combined relaxation methods for variational inequality problems over products sets.