Results 81 to 90 of about 810 (214)

A Subdifferential Condition for Calmness of Multifunctions

Journal of Mathematical Analysis and Applications, 2001
A criterion for the calmness of a class of multifunctions between finite-dimensional spaces is derived in terms of subdifferential concepts developed by Mordukhovich. The considered class comprises general constraint set mappings as they occur in optimization or mappings associated with a certain type of variational systems.
Henrion, René, Outrata, Jiří
openaire   +2 more sources

Subdifferential Properties of Minimal Time Functions Associated with Set-Valued Mappings with Closed Convex Graphs in Hausdorff Topological Vector Spaces

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

Characterization of the monotone polar of subdifferentials

, 2013
4 pagesInternational audienceWe show that a point is solution of the Minty variational inequality of subdifferential type for a given function if and only if the function is increasing along rays starting from that point. This provides a characterization
Lassonde, Marc
core   +1 more source

Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials

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  

Convergence of Subdifferentials of Convexly Composite Functions

, 1999
In this paper we establish conditions that guarantee, in the setting of a general Banach space, the Painlevé-Kuratowski convergence of the graphs of the subdifferentials of convexly composite functions.
C. Combari, R. Poliquin, L. Thibault
core   +1 more source

An extension of the proximal point algorithm beyond convexity. [PDF]

J Glob Optim, 2022
Grad SM, Lara F.
europepmc   +1 more source

Infimal convolution and optimal time control problem I: frechet and proximal subdifferentials [PDF]

, 2018
We consider a general minimal time problem with a convex constant dynamics and a lower semicontinuous extended real-valued target function defined on a Banach space.
Ivanov, Grigorii, Thibault, Lionel, Ivanov, Grigorii E.   +2 more
core   +1 more source

Calculus rules for proximal ε-subdifferentials and inexact proximity operators for weakly convex functions

, 2022
We investigate inexact proximity operators for weakly convex functions. To this aim we derive sum rules for proximal ε-subdifferentials, by incorporatingthe moduli of weak convexity of the functions into the respective formulas.
Scrivanti, Gabriele, Bednarczuk, Ewa, Bruccola, Giovanni, Tran, The Hung   +3 more
core  

Generalized Invariant Monotonicity and Generalized Invexity of Nondifferentiable Functions

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