Results 41 to 50 of about 1,773 (86)
Characterizations of Super-regularity and its Variants
, 2018 Convergence of projection-based methods for nonconvex set feasibility problems has been established for sets with ever weaker regularity assumptions.
A Daniilidis +10 more
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Three nontrivial solutions for nonlocal anisotropic inclusions under nonresonance
Electronic Journal of Differential Equations, 2019 In this article, we study a pseudo-differential inclusion driven by a nonlocal anisotropic operator and a Clarke generalized subdifferential of a nonsmooth potential, which satisfies nonresonance conditions both at the origin and at infinity. We prove
Silvia Frassu +2 more
doaj
Geometric conditions for regularity in a time-minimum problem with constant dynamics [PDF]
, 2012 Continuing the earlier research on local well-posedness of a time-minimum problem associated to a closed target set C in a Hilbert space H and a convex constant dynamics F we study the Lipschitz (or, in general, Hölder) regularity of the (unique) point ...
Goncharov, Vladimir, Pereira, Fátima
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, 2017 We prove that every function $f:\mathbb{R}^n\to \mathbb{R}$ satisfies that the image of the set of critical points at which the function $f$ has Taylor expansions of order $n-1$ and non-empty subdifferentials of order $n$ is a Lebesgue-null set.
Azagra, Daniel +2 more
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Existence of a nontrival solution for Dirichlet problem involving p(x)-Laplacian
, 2014 In this paper we study the nonlinear Dirichlet problem involving p(x)-Laplacian (hemivariational inequality) with nonsmooth potential. By using nonsmooth critical point theory for locally Lipschitz functionals due to Chang and the properties of ...
Barnaś, Sylwia
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Generalized differentiation with positively homogeneous maps: Applications in set-valued analysis and metric regularity [PDF]
, 2009 We propose a new concept of generalized differentiation of set-valued maps that captures the first order information. This concept encompasses the standard notions of Frechet differentiability, strict differentiability, calmness and Lipschitz continuity ...
Pang, C. H. Jeffrey
core
Weakened subdifferentials and Frechet differentiability of real functions [PDF]
Let X be a real Banach space and f : X ! R [ {+1}. It is well known that the Clarke subdifferential @ f(x) of the function f at x 2 int dom f is a singleton if and only if f is strongly differentiable (then @ f(x) = {Dsf(x)}, where Dsf(x) is the strong ...
Ginchev Ivan
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Generalization of Clark’s derivation and subdifferential [PDF]
, 2009 In this talk, we first introduce some new concepts of nonsmooth analysis for locally convex topological vector spaces and then by using these definition we obtain some results. Moreover we generalizes Lebourg’s mean value theorem to locally convex spaces.
openaire
Unified Robust Necessary Optimality Conditions for Nonconvex Nonsmooth Uncertain Multiobjective Optimization. [PDF]
J Optim Theory Appl, 2022 Wang J, Li S, Feng M.
europepmc +1 more source
Homological differential calculus
, 2019 This article provides a definition of a subdifferential for continuous functions based on homological considerations. We show that it satisfies all the requirement for a good notion of subdifferential.
Vichery, Nicolas
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