Special Issue
Dedicated to Jean-Pierre Aubin on the occasion of his 65th birthday.
This volume of the Journal of Convex Analysis is dedicated to Jean-Pierre
Aubin. His many outstanding contributions to non-smooth and set-valued
analysis are well-known worldwide.
In particular, he was one the first to understand the potential power
of the study of differential inclusions with constraints. Based on this,
he built a new theory, Viability Theory, whose implications are now not
only important in pure mathematics but also in control theory, neural
networks, demography, economics, game theory, biology among others.
Jean Pierre Aubin is also the author or co-author of approximatively 20
books, both text books and research monographs.
We hope that the present volume will testify the wide spectrum of domains
investigated by Jean-Pierre.
The decision of editing this volume was taken during the conference
"Set-Valued Analysis, Control, Viability and Applications" at Roscoff,
France, from June 21 to 25, 2004, organized at the occasion of Jean-Pierre
Aubin's 65th birthday by his former PhD students. We want to stress how
much we are indebted to Jean-Pierre who was for all of us, not only a
scientific and moral support during and after our PhD, but also a model
of energy and open mindness in all his activities.
The former students of Jean-Pierre Aubin.
J.-P. Aubin
The Imaginary Colloquium
iii--xvi [Abstract / Full Text]
Y. Askoura, Ch. Godet-Thobie
Fixed Points in Contractible Spaces and Convex Subsets of Topological Vector Spaces
193--205 [Abstract / Full Text]
H. Attouch, A. Soubeyran
Inertia and Reactivity in Decision Making as Cognitive Variational Inequalities
207--224 [Abstract / Full Text]
D. Azé
A Unified Theory for Metric Regularity of Multifunctions
225--252 [Abstract / Full Text]
P. Cannarsa, P. Cardaliaguet
Perimeter Estimates for Reachable Sets of Control Systems
253--267 [Abstract / Full Text]
R. H. Day
Behavioral Economics, Competitive Equilibrium and Multiple Phase Dynamics in an Abstract, Adaptive Society: Remarks in Honor of Jean-Pierre Aubin
269--279 [Abstract / Full Text]
A. L. Dontchev, M. Quincampoix, N. Zlateva
Aubin Criterion for Metric Regularity
281--297 [Abstract / Full Text]
H. Frankowska
Regularity of Minimizers and of Adjoint States in Optimal Control under State Constraints
299--328 [Abstract / Full Text]
V. Gaitsgory
Averaging and Near Viability of Singularly Perturbed Control Systems
329--352 [Abstract / Full Text]
A. Ioffe
Existence and Relaxation Theorems for Unbounded Differential Inclusions
353--362 [Abstract / Full Text]
K. Kassara
Spreading Control Applied to Target Problems
363--372 [Abstract / Full Text]
M. B. Lignola, J. Morgan
Vector Quasi-Variational Inequalities: Approximate Solutions and Well-Posedness
373--384 [Abstract / Full Text]
S. Marcellin, L. Thibault
Evolution Problems Associated with Primal Lower Nice Functions
385--421 [Abstract / Full Text]
J. A. Murillo Hernández
Tangential Regularity in the Space of Directional-Morphological Transitions
423--441 [Abstract / Full Text]
S. Rigal
A Set Evolution Approach to the Control of Uncertain Systems with Discrete-Time Measurement
443--461 [Abstract / Full Text]
