Results 91 to 100 of about 351 (168)

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  

Subdifferential characterization of approximate convexity: the lower semicontinuous case [PDF]

, 2009
International audienceIt is known that a locally Lipschitz function f is approximately convex if, and only if, its Clarke subdifferential ∂C f is a submonotone operator. The main object of this work is to extend the above characterization to the class of
Lassonde, Marc, Daniilidis, Aris, Jules, Florence   +2 more
core  

Characterization of lower semicontinuous convex functions [PDF]

, 1992
We prove that a lower semicontinuous function defined on a reflexive Banach space is convex if and only if its Clarke subdifferential is monotone.
R. Correa, L. Thibault, A. Jofré
core   +1 more source

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

Lagrange Duality and Saddle-Point Optimality Conditions for Nonsmooth Interval-Valued Multiobjective Semi-Infinite Programming Problems with Vanishing Constraints

Axioms
This article deals with a class of nonsmooth interval-valued multiobjective semi-infinite programming problems with vanishing constraints (NIMSIPVC). We introduce the VC-Abadie constraint qualification (VC-ACQ) for NIMSIPVC and employ it to establish ...
Balendu Bhooshan Upadhyay, Shivani Sain, Ioan Stancu-Minasian   +2 more
doaj   +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

Pseudomonotone diagonal subdifferential operators [PDF]

, 2013
Let f be an equilibrium bifunction defined on the product space X x X, where X is a Banach space. If f is locally Lipschitz with respect to the second variable, for every x in X we define T_f(x) as the Clarke subdifferential of f(x,\\cdot) evaluated at x.
GIULI, MASSIMILIANO, CASTELLANI, MARCO
core  

A new class of dual systems of fractional differential equations with hemivariational inequalities

Journal of Inequalities and Applications
The main goal of this paper is to analyze and study a new class of dual abstract systems that consists of differential hemivariational inequalities systematized by an evolutionary hemivariational inequality accumulated with a fractional differential ...
Mohd Adnan, Esmail Alshaban, Fahad M. Alamrani, Abdur Raheem, Areefa Khatoon, Faizan A. Khan   +5 more
doaj   +1 more source

A New Study on the Approximate Controllability of Sobolev-Type Stochastic ABC-Fractional Impulsive Differential Inclusions with Clarke Sub-Differential and Poisson Jumps

Fractal and Fractional
This paper undertakes a rigorous analytical exposition of the approximate controllability of a novel class of Sobolev-type stochastic impulsive differential inclusions, incorporating the Atangana–Baleanu fractional derivative in the Caputo configuration ...
Yousef Alnafisah, Hamdy M. Ahmed, A. M. Sayed Ahmed   +2 more
doaj   +1 more source

(Sub-) Gradient formulae for probability functions of random inequality systems under Gaussian distribution [PDF]

, 2016
We consider probability functions of parameter-dependent random inequality systems under Gaussian distribution. As a main result, we provide an upper estimate for the Clarke subdifferential of such probability functions without imposing compactness ...
Henrion, René, Ackooij, Wim van, van Ackooij, Wim   +2 more
core   +1 more source