Results 81 to 90 of about 257,170 (166)

On Neumann elliptic problems with discontinuous nonlinearities [PDF]

, 2001
summary:In this paper we study a class of nonlinear Neumann elliptic problems with discontinuous nonlinearities. We examine elliptic problems with multivalued boundary conditions involving the subdifferential of a locally Lipschitz function in the sense ...
Halidias, Nikolaos
core   +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

Characterization of the Clarke regularity of subanalytic sets

, 2017
International audienceIn this note, we will show that for a closed subanalytic subset $A \subset \mathbb{R}^n$, the Clarke tangential regularity of $A$ at $x_0 \in A$ is equivalent to the coincidence of the Clarke's tangent cone to $A$ at $x_0$ with ...
Abderrahim Jourani, Moustapha Séne, Séne, Moustapha, Jourani, Abderrahim   +3 more
core   +1 more source

Restricted Limiting Subdifferential and Applications

, 2018
International audienceThe aim of this note is to introduce a subdifferential in the spirit of the limiting Fréchet subdifferential. Chain rules are established and several properties are given.
Abderrahim Jourani, Tijani Amahroq, Amahroq, Tijani, Jourani, Abderrahim   +3 more
core   +1 more source

An Optimization-Based Meta-Learning Model for MRI Reconstruction with Diverse Dataset. [PDF]

J Imaging, 2021
Bian W, Chen Y, Ye X, Zhang Q.
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

No Statistical-Computational Gap in Spiked Matrix Models with Generative Network Priors. [PDF]

Entropy (Basel), 2021
Cocola J, Hand P, Voroninski V.
europepmc   +1 more source

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

Characterization of lower semicontinuous convex functions

, 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