Epigraphical analysis

 Access to full text

 Full (PDF)

1. [1] Zvi Artstein & Sergiu Hart, "Law of large numbers for random sets and allocation processes," Mathematics of Operations Research6 (1981), 482-492. Zbl0524.28015
2. [2] Zvi Artstein & Roger J.-B. Wets, "Approximating the integral of a multifunction," J. Multivariate Analysis24 (1988), 285-308. Zbl0649.28010
3. [3] Hedy Attouch, Variational Convergence for Functions and Operators, Pitman, London. 1984., Applicable Mathematics Series . Zbl0561.49012MR773850
4. [4] Hedy Attouch, Dominique Aze & Roger J.-B. Wets, "Convergence of convex-concave saddle functions: continuity properties of the Legendre-Fenchel transform with applications to convex programming and mechanics," Annales de l'Institut H. Poincaré: Analyse Nonlinéaire (1988 (to appear)), Techn. Report A.V.A.M.A.C.-Perpignan, # 85-08, 1985. Zbl0667.49009
5. [5] Hedy Attouch & Colette Picard, "On the control of transmission problems across perforated walls," in Proceedings of the First International Workshop: Sensors and Actuators in Distributed Parameter Systems, A. El Jai & M. Amouroux, eds., IFAC-Université de Perpignan, Perpignan, 1987, 31-58. 
6. [6] Hedy Attouch & Hassan Riahi, "The epi-continuation method for minimization problems. Relation with the degree theory of F. Browder for maximal monotone operators," AVAMAC #87-02, Perpignan, 1987. Zbl0705.49007
7. [7] Hedy Attouch & Roger J.-B. Wets, "Isometries for the Legendre-Fenchel transform." Transactions of the American Mathematical Society296 (1986), 33-60. Zbl0607.49009
8. [8] Hedy Attouch & Roger J.-B. Wets, "Quantitative stability of variational systems: II. A framework for nonlinear conditioning," IIASA Working Paper88-9, Laxenburg, Austria., February 1988. Zbl0793.49005
9. [9] Hedy Attouch & Roger J.-B. Wets, "Quantitative stability of variational systems: I. The epigraphical distance," IIASA Working Paper88-8, Laxenburg, February 1988. Zbl0753.49007
10. [10] Hedy Attouch & Roger J.-B. Wets, "Lipschitzian stability of the epsilon-approximate solutions in convex optimization," IIASA Working Paper WP-87-25, Laxenburg, Austria, March 1987. Zbl0802.49009
11. [11] Jean-Pierre Aubin, "Graphical convergence of set-valued maps," WP-87, IIASA Laxenburg, September 1987. 
12. [12] Jean-Pierre Aubin & Ivar Ekeland, Applied Nonlinear Analysis, J. Wiley Intersciences, New York, 1984. Zbl0641.47066
13. [13] Dominique Aze & Jean-Paul Penot, "Operations on convergent families of sets and functions," Techn. Report AVAMAC #87-05, Perpignan, 1987. Zbl0672.26007
14. [14] Kerry Back, "Convergence of Lagrange multipliers and dual variables for convex optimization problems," Mathematics of Operations Research13 (1988), 74-79. Zbl0645.49005MR931487
15. [15] Kerry Back, "Continuity of the Fenchel transform of convex functions," Proceedings of the American Mathematical Society97 (August 1986), 661-667. Zbl0605.46011MR845984
16. [16] Gerald Beer, "On Mosco convergence of convex sets," B ulletin of the A ustralian Mathematical Society (1987) Zbl0669.52002MR969914
17. [17] Gerald Beer & Petar Kenderov, "On the argmin multifuction for lower semicontinuous functions," Proceedings of the American Mathematical Society102 (1988), 107-113. Zbl0731.49009
18. [18] Haim Brezis, Opérateurs Maximaux Monotones et Semi-groupes de Contractions dans les Espaces de Hilbert, North Holland, Amsterdam, 1973. Zbl0252.47055MR348562
19. [19] Giuseppe Buttazzo, "Su una definizione dei Γ-limiti," Bollettino Unione Matematica Italiana14-B (1977), 722-744. Zbl0445.49016MR500789
20. [20] Charles Castaing & Michel Valadier, Convex Analysis and Measurable Multifunctions, Springer Verlag,Lecture Notes in Mathematics 580, Berlin, 1977. Zbl0346.46038
21. [21] Frank H. Clarke, Optimization and Nonsmooth Analysis, Wiley-Interscience, New York, 1983. Zbl0582.49001MR709590
22. [22] Michael Crandall, L. Craig Evans & Pierre-Louis Lions, "Some properties of the viscosity solutions of Hamilton-Jacobi equations," Tansactions of the American Mathematical Society282 (1984), 487-502. Zbl0543.35011
23. [23] Gianni Dal Maso, Ennio De Giorgi & Luciano Modica, "Weak convergence of measures on spaces of lower semicontinuous functions," ISAS Report 8/86/M, Trieste, 1986. Zbl0638.46019
24. [24] Ennio De Giorgi, "Convergence problems of functionals and operators," in Recent Methods in Nonlinear Analysis, E. De Giorgi, E. Magenes & U. Mosco, eds., Pitagora Editrice, Bologna, 1979, 131-188. 
25. [25] Szymon Dolecki, "Convergence of minima in convergence spaces," Optimization17 (1986), 553-572. Zbl0614.49013MR858305
26. [26] Alain Fougeres & Annik Truffert, "Régularisation s.c.i. et épiconvergence: approximations inf-convolutives associées à un référentiel," Annali di Matematica Puri ed Applicati (1986), preprint AVAMAC# 84-13. Zbl0662.49005
27. [27] Halina Frankowska, "Optimal trajectories associated to a solution of contingent Hamilton-Jacobi equation," Working Paper WP-87-069, I.I.A.S.A., Laxenburg, June 1987. Zbl0612.49023
28. [28] Christian Hess, "Quelques théorèmes limites pour des ensembles aléatoires bornés ou non," Séminaire d'Analyse Convexe, Université du Languedoc14 (1984), 12:1-12:50. MR903276
29. [29] Jean-Baptiste Hiriart-Urruty & Marie-Laurence Mazure, "Formulations variationnelles de l'addition parallèle et de la soustraction parallèle d'opérateurs semi-definis positifs, Comptes Rendus de l'Académie des Sciences de Paris302 (1986), 527-530. Zbl0597.15008
30. [30] Jean-Luc Joly, "Une famille de topologies sur l'ensemble des fonstions convexes pour lesquelles la polarité est bicontinue," J. Mathématiques Pures et Appliquées52 (1973). 421-441. Zbl0282.46005MR500129
31. [31] Pierre-Jean Laurent, Approximation et Optimisation, Hermann, Paris, 1972. Zbl0238.90058MR467080
32. [32] Jean-Jacques Moreau, "Rafle par un convexe variable, 1ère partie.," Séminaire d'Analyse Convexe, Université de Montpellier 1 (1971), 15:1-15:xx. Zbl0343.49019
33. [33] Jean-Jacques Moreau, "Rafle par un convexe variable, 2ème partie.," Séminaire d'Analyse Convexe, Université de Montpellier 2 (1972), 3:1-3:xx. Zbl0343.49020
34. [34] James-Louis Ndoutoume, "Calcul différentiel généralisé du second ordre pour des fonctions convexes," AVAMAC, Université de Perpignan, Vol.2, no. 2., 1986. 
35. [35] Jean-Paul Penot, "Preservation of persistence and stability under intersection and operations," Manuscript, Université de Pau, 1986, (to appear). 
36. [36] Stephen M. Robinson, "Local epi-continuity and local optimization," Mathematical Programming37 (1987), 208-222. Zbl0623.90078MR883021
37. [37] R.T. Rockafellar, "First and second-order epi-differentiability in nonlinear programming," Manuscript, University of Washington, Seattle, 1987. Zbl0655.49010MR936806
38. [38] R.T. Rockafellar, "Second-order optimality conditions in nonlinear programming obtained by way of epi-derivatives," Manuscript, University of Washington, Seattle, 1987. Zbl0698.90070
39. [39] R.T. Rockafellar & Roger J.-B. Wets, "Variational systems, an introduction," in Multifunctions and Integrands: Stochastic Analysis, Approximation and Optimization, G. Salinetti, ed., Springer Verlag,Lecture Notes in Mathematics1091, Berlin, 1984, 1-54. 
40. [40] Michel Volle, "Equations inf-convolutives," Manuscript, Université de Limoges, February 1988. 

1. Marie-Laurence Mazure, Michel Volle, Équations inf-convolutives et conjugaison de Moreau-Fenchel
2. M. Volle, Duality for the level sum of quasiconvex functions and applications
3. H. Attouch, D. Aze, Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method