Lionel Thibault
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View article: Integro-Differential BV Prox-Regular Sweeping Process
Integro-Differential BV Prox-Regular Sweeping Process Open
Recently, diverse articles studied integro-differential sweeping processes whose multimapping defining the moving set takes prox-regular values and is absolutely continuous. Here, we deal with the situation where this multimapping is bound…
View article: Lipschitz multivalued perturbations of integro-differential prox-regular sweeping processes
Lipschitz multivalued perturbations of integro-differential prox-regular sweeping processes Open
Integro-differential sweeping processes with prox-regular sets in Hilbert spaces have been the subject of various recent studies. Diverse applications of such differential inclusions to complementarity problems, electrical circuits, fricti…
View article: Strongly convex sets with variable radii
Strongly convex sets with variable radii Open
International audience
View article: Distance Function Associated to a Prox-regular set
Distance Function Associated to a Prox-regular set Open
View article: Nonconvex integro-differential sweeping process with applications
Nonconvex integro-differential sweeping process with applications Open
In this paper, we analyze and discuss the well-posedness of a new variant of the so-called sweeping process, introduced by J.J. Moreau in the early 70's \cite{More71} with motivation in plasticity theory. In this variant, the normal cone t…
View article: Prox-regular sets and Legendre-Fenchel transform related to separation properties
Prox-regular sets and Legendre-Fenchel transform related to separation properties Open
This paper is devoted to nonconvex/prox-regular separations of sets in Hilbert spaces. We introduce the Legendre-Fenchel r-conjugate of a prescribed function and r-quadratic support functionals and points of a given set, all associated to …
View article: On smoothness of solutions to projected differential equations
On smoothness of solutions to projected differential equations Open
Projected differential equations are known as fundamental mathematical models in economics, for electric circuits, etc. The present paper studies the (higher order) derivability as well as a generalized type of derivability of solutions of…
View article: Infimal Convolution and Optimal Time Control Problem III: Minimal Time Projection Set
Infimal Convolution and Optimal Time Control Problem III: Minimal Time Projection Set Open
We continue the investigation of a general minimal time problem with a convex constant dynamics and a lower semicontinuous extended real-valued target function defined on a Banach space. In this paper we obtain an explicit description of t…
View article: Prox-regularity approach to generalized equations and image projection
Prox-regularity approach to generalized equations and image projection Open
In this paper, we first investigate the prox-regularity behaviour of solution mappings to generalized equations. This study is realized through a nonconvex uniform Robinson−Ursescu type theorem. Then, we derive new significant results for …
View article: A subdifferential characterization of Motzkin decomposable functions
A subdifferential characterization of Motzkin decomposable functions Open
Altres ajuts: SEV-2015-0563
View article: Infimal Convolution and Optimal Time Control Problem I: Fréchet and Proximal Subdifferentials
Infimal Convolution and Optimal Time Control Problem I: Fréchet and Proximal Subdifferentials Open
View article: Sublevel representations of epi-Lipschitz sets and other properties
Sublevel representations of epi-Lipschitz sets and other properties Open
View article: Smoothness of the metric projection onto nonconvex bodies in Hilbert spaces
Smoothness of the metric projection onto nonconvex bodies in Hilbert spaces Open
View article: Discontinuous sweeping process with prox-regular sets
Discontinuous sweeping process with prox-regular sets Open
In this paper, we study the well−posedness (in the sense of existence and uniqueness of a solution) of a discontinuous sweeping process involving prox-regular sets in Hilbert spaces. The variation of the moving set is controlled by a posit…
View article: Preservation of Prox-Regularity of Sets with Applications to Constrained Optimization
Preservation of Prox-Regularity of Sets with Applications to Constrained Optimization Open
In this paper, we first provide counterexamples showing that sublevels of prox-regular functions and levels of differentiable mappings with Lipschitz derivatives may fail to be prox-regular. Then, we prove the uniform prox-regularity of su…
View article: The NSLUC property and Klee envelope
The NSLUC property and Klee envelope Open
View article: Moreau envelopes of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1024.gif" display="inline" overflow="scroll"><mml:mi>s</mml:mi></mml:math>-lower regular functions
Moreau envelopes of -lower regular functions Open
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View article: On perturbed sweeping process
On perturbed sweeping process Open
International audience