Results 91 to 100 of about 2,908 (221)

A subdifferential characterization of Motzkin decomposable functions [PDF]

open access: yes, 2017
Altres ajuts: SEV-2015-0563The paper provides a new subdifferential characterization for Motzkin decomposable (convex) functions. This characterization leads to diverse stability properties for such a decomposability for operations like addition and ...
Martínez Legaz, Juan Enrique   +3 more
core   +1 more source

Extensions Of Subdifferential Calculus Rules in Banach Spaces

open access: yes, 1996
This paper is devoted to extending formulas for the geometric approximate subdifferential and the Clarke subdifferential of extended-real-valued functions on Banach spaces.
A. Jourani, L. Thibault
core   +1 more source

Characterization of the Strong Metric Subregularity of the Mordukhovich Subdifferential on Asplund Spaces

open access: yesAbstract and Applied Analysis, 2014
We mainly present several equivalent characterizations of the strong metric subregularity of the Mordukhovich subdifferential for an extended-real-valued lower semicontinuous, prox-regular, and subdifferentially continuous function acting on an Asplund ...
J. J. Wang, W. Song
doaj   +1 more source

The directional subdifferential of the difference of two convex functions

open access: yes
We provide a criterion giving a formula for the directional (or contingent) subdifferential of the difference of two convex functions. We even extend it to the difference of two approximately starshaped functions.
Jean-Paul Penot
core   +1 more source

Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems

open access: yesAbstract and Applied Analysis, 2013
We obtain a new Taylor's formula in terms of the order subdifferential of a function from to . As its applications in optimization problems, we build order sufficient optimality conditions of this kind of functions and order necessary conditions ...
He Qinghai, Zhang Binbin
doaj   +1 more source

On generalized derivatives for C1,1 vector optimization problems

open access: yesJournal of Applied Mathematics, 2003
We introduce generalized definitions of Peano and Riemann directional derivatives in order to obtain second-order optimality conditions for vector optimization problems involving C1,1 data.
Davide La Torre
doaj   +1 more source

The viscosity subdifferential of the rank function via the corresponding subdifferential of its Moreau envelopes

open access: yes, 2015
International audienceWe derive the so-called viscosity subdifferential of the rank function via a limiting process applied to the Moreau envelopes of the rank function.
Hiriart-Urruty, Jean-Baptiste   +1 more
core   +1 more source

Subdifferential Calculus in Asplund Generated Spaces [PDF]

open access: yes, 2005
We extend the definition of the limiting Frechet subdifferential and the limiting Frechet normal cone from Asplund spaces to Asplund generated spaces.
Loewen, Philip D   +2 more
core  

Subdifferential characterization of s -lower regular functions

open access: yes, 2014
International audienceAs for Moreau envelopes of primal lower nice as well as prox-regular functions, Moreau s-envelopes of s-lower regular functions have been proved recently to have several remarkable differential properties and to have many important ...
I. Kecis   +3 more
core   +1 more source

Existence and uniqueness of anti-periodic solutions for nonlinear third-order differential inclusions

open access: yesElectronic Journal of Differential Equations, 2013
In this article, we study the existence of anti-periodic solutions for the third-order differential inclusion $$displaylines{ u'''(t)in partialvarphi(u'(t))+F(t,u(t))quad hbox{a.e.
Touma Haddad, Tahar Haddad
doaj  

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