Journal of Convex Analysis

Volume 13 (2006)

  Number 1, Number 2, Number 3/4

Number 1

  [No. 1] [No. 2] [No. 3/4]

M. Solci
Boundary Contact Energies for a Variational Model in Phase Separation
1--26 [Abstract / Full Text]

S. Boralugoda, R. A. Poliquin
Local Integration of Prox-Regular Functions in Hilbert Spaces
27--36 [Abstract / Full Text]

K. Zhang
Estimates of Quasiconvex Polytopes in the Calculus of Variations
37--50 [Abstract / Full Text]

S. Gutiérrez
A Necessary Condition for the Quasiconvexity of Polynomials of Degree Four
51--60 [Abstract / Full Text]

C. Nour
The Bilateral Minimal Time Function
61--80 [Abstract / Full Text]

M. Kruzik
Periodic Solutions to a Hysteresis Model in Micromagnetics
81--99 [Abstract / Full Text]

G. H. Greco
Minmax Convex Pairs
101--111 [Abstract / Full Text]

N. Dinh, M. A. Goberna, M. A. López
From Linear to Convex Systems: Consistency, Farkas' Lemma and Applications
113--133 [Abstract / Full Text]

L. Aharouch, Y. Akdim
Strongly Nonlinear Elliptic Unilateral Problems without Sign Condition and L1 Data
135--149 [Abstract / Full Text]

M. A. Efendiev, A. Mielke
On the Rate-Independent Limit of Systems with Dry Friction and Small Viscosity
151--167 [Abstract / Full Text]

J. Alonso, P. Martín
Convex Bodies with Sheafs of Elliptic Sections
169--175 [Abstract / Full Text]

A. Kalamajska
On Young Measures Controlling Discontinuous Functions
177--192 [Abstract / Full Text]

Number 2

  [No. 1] [No. 2] [No. 3/4]

Special Issue
Dedicated to Jean-Pierre Aubin on the occasion of his 65th birthday.

Photograph of J.-P. Aubin

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]

Number 3/4

  [No. 1] [No. 2] [No. 3/4]

Special Issue
Dedicated to the memory of Simon Fitzpatrick
29 July 1953 -- 21 August 2004

Photograph of S. Fitzpatrick

J. M. Borwein
Simon Fitzpatrick Memorial Volume
463--476 [Abstract / Full Text]

D. Azé, J.-N. Corvellec
Variational Methods in Classical Open Mapping Theorems
477--488 [Abstract / Full Text]

P. Bandyopadhyay, G. Godefroy
Linear Structures in the Set of Norm-Attaining Functionals on a Banach Space
489--497 [Abstract / Full Text]

H. H. Bauschke, D. A. McLaren, H. S. Sendov
Fitzpatrick Functions: Inequalities, Examples, and Remarks on a Problem by S. Fitzpatrick
499--523 [Abstract / Full Text]

F. Bernard, L. Thibault, N. Zlateva
Characterizations of Prox-Regular Sets in Uniformly Convex Banach Spaces
525--559 [Abstract / Full Text]

J. Borwein
Maximal Monotonicity via Convex Analysis
561--586 [Abstract / Full Text]

J. Borwein, V. Montesinos, J. D. Vanderwerff
Boundedness, Differentiability and Extensions of Convex Functions
587--602 [Abstract / Full Text]

R. S. Burachik, A. N. Iusem
On Non-Enlargeable and Fully Enlargeable Monotone Operators
603--622 [Abstract / Full Text]

D. Butnariu, S. Reich, A. J. Zaslavski
There are Many Totally Convex Functions
623--632 [Abstract / Full Text]

P. L. Combettes, S. A. Hirstoaga
Approximating Curves for Nonexpansive and Monotone Operators
633--646 [Abstract / Full Text]

A. Eberhard, R. Sivakumaran, R. Wenczel
On the Variational Behaviour of the Subhessians of the Lasry-Lions Envelope
647--685 [Abstract / Full Text]

E. Ernst, M. Théra
Global Maximum of a Convex Function: Necessary and Sufficient Conditions
687--694 [Abstract / Full Text]

M. Fabian, P. D. Loewen, X. Wang
ε-Fréchet Differentiability of Lipschitz Functions and Applications
695--709 [Abstract / Full Text]

S. P. Fitzpatrick, A. S. Lewis
Weak-Star Convergence of Convex Sets
711--719 [Abstract / Full Text]

Y. García, M. Lassonde, J. P. Revalski
Extended Sums and Extended Compositions of Monotone Operators
721--738 [Abstract / Full Text]

J. R. Giles
The Mazur Intersection Problem
739--750 [Abstract / Full Text]

J. R. Giles
Differentiability of Lipschitz Functions on a Space with Uniformly Gâteaux Differentiable Norm
751--758 [Abstract / Full Text]

A. Ioffe
Three Theorems on Subdifferentiation of Convex Integral Functionals
759--772 [Abstract / Full Text]

V. Jeyakumar, Z. Y. Wu
A Qualification Free Sequential Pshenichnyi-Rockafellar Lemma and Convex Semidefinite Programming
773--784 [Abstract / Full Text]

Y. S. Ledyaev, J. S. Treiman, Q. J. Zhu
Helly's Intersection Theorem on Manifolds of Nonpositive Curvature
785--798 [Abstract / Full Text]

B. S. Mordukhovich
Coderivative Calculus and Robust Lipschitzian Stability of Variational Systems
799--822 [Abstract / Full Text]

J. P. Moreno, P. L. Papini, R. R. Phelps
New Families of Convex Sets Related to Diametral Maximality
823--837 [Abstract / Full Text]

J.-P. Penot
The Fitzpatrick Rate, the Stepanov Rate, the Lipschitz Rate and their Relatives
839--848 [Abstract / Full Text]

A. M. Rubinov, E. V. Sharikov
Star-Shaped Separability with Applications
849--860 [Abstract / Full Text]

S. Simons
The Fitzpatrick Function and Nonreflexive Spaces
861--881 [Abstract / Full Text]

C. Zalinescu
A New Convexity Property for Monotone Operators
883--887 [Abstract / Full Text]