Results 71 to 80 of about 2,296 (157)

Derivatives of orbital function and an extension of Berezin-Gel’fand’s theorem

Special Matrices, 2016
A generalization of a result of Berezin and Gel’fand in the context of Eaton triples is given. The generalization and its proof are Lie-theoretic free and requires some basic knowledge of nonsmooth analysis.
Tam Tin-Yau, Hill William C.
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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
core  

The approximate and the Clarke subdifferentials can be different everywhere

Journal of Mathematical Analysis and Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimality and scalarization of robust approximate solutions for semi-infinite vector equilibrium problems

Journal of Inequalities and Applications
This paper investigates the optimality conditions and scalarization theorems for robust approximate solutions to semi-infinite vector equilibrium problems with data uncertainty in the constraints.
Shan Cai, Xiaoping Li
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Critical metrics of eigenvalue functionals via Clarke subdifferential

62 ...
Petrides, Romain, Tewodrose, David
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On the Clarke subdifferential of the distance function of a closed set

Journal of Mathematical Analysis and Applications, 1992
The authors derive formulas for computing the Clarke subdifferential of the distance function \(x\in X\mapsto d_ C(x)=\text{Inf}\{\| x- y\|: y\in C\}\). In connection with this question, they examine the role of the dimensionality of \(X\), the convexity of \(C\), and the (subdifferential) regularity of \(d_ C\).
Burke, James V, Ferris, Michael C, Qian, Maijian   +2 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, Eugenio M. Rocha, Vasile Staicu   +2 more
doaj  

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
core  

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

On compositions of special cases of Lipschitz continuous operators. [PDF]

Fixed Point Theory Algorithm Sci Eng, 2021
Giselsson P, Moursi WM.
europepmc   +1 more source