Results 71 to 80 of about 3,697 (188)
Submonotone subdifferentials of Lipschitz functions [PDF]
Transactions of the American Mathematical Society, 1981 The class of "lowwer- C 1 {C^1} " functions, that is functions which arise by taking the maximum of a compactly indexed family of C 1 {C^1} functions, is characterized in terms of properties of the generalized subdifferential.
openaire +1 more source
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
Journal of Function Spaces and Applications, 2013 For a set-valued mapping M defined between two Hausdorff topological vector spaces E and F and with closed convex graph and for a given point (x,y)∈E×F, we study the minimal time function associated with the images of M and a bounded set Ω⊂F defined by ...
Messaoud Bounkhel
doaj +1 more source
Electronic Journal of Differential Equations, 2004 We study a nonlinear evolution equation associated with time-dependent subdifferential in a separable Hilbert space. In particular, we consider an asymptotically periodic system, which means that time-dependent terms converge to time-periodic terms as ...
Noriaki Yamazaki
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
An extension of the proximal point algorithm beyond convexity. [PDF]
J Glob Optim, 2022 Grad SM, Lara F.
europepmc +1 more source
Generalized
Journal of Inequalities and Applications, 2009 New concepts of generalized invex functions for non-differentiable functions and generalized invariant monotone operators for set-valued mappings are introduced.
Yang Xinmin, Liu Caiping
doaj
New duality results for evenly convex optimization problems. [PDF]
Optimization, 2021 Fajardo MD, Grad SM, Vidal J.
europepmc +1 more source
Existence Results for Nonconvex Nonautonomous Differential Inclusions in Hilbert Spaces
MathematicsWe establish a solvability criterion for nonautonomous time-evolution inclusions governed by the right-hand side without the convexity assumption. In this study, we examine the problem x˙(t)∈F(t,x(t))a.e.onI0:=[0,T0], for some T0>0, where F has a closed ...
Messaoud Bounkhel
doaj +1 more source
Unique solvability of a crack problem with Signorini-type and Tresca friction conditions in a linearized elastodynamic body. [PDF]
Philos Trans A Math Phys Eng Sci, 2022 Kashiwabara T, Itou H.
europepmc +1 more source