@article{AIHPC_1989__S6__73_0, author = {Attouch, H. and Wets, R. J.-B.}, title = {Epigraphical analysis}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {73--100}, publisher = {Gauthier-Villars}, volume = {S6}, year = {1989}, mrnumber = {1019109}, zbl = {0676.49003}, language = {en}, url = {http://www.numdam.org/item/AIHPC_1989__S6__73_0/} }
Attouch, H.; Wets, R. J.-B. Epigraphical analysis. Annales de l'I.H.P. Analyse non linéaire, Tome S6 (1989), pp. 73-100. http://www.numdam.org/item/AIHPC_1989__S6__73_0/
[1] Law of large numbers for random sets and allocation processes," Mathematics of Operations Research 6 (1981), 482-492. | Zbl
& , "[2] Approximating the integral of a multifunction," J. Multivariate Analysis 24 (1988), 285-308. | Zbl
& , "[3] Variational Convergence for Functions and Operators, Pitman, London. 1984., Applicable Mathematics Series . | MR | Zbl
,[4] 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. | Numdam | Zbl
, & , "[5] 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] The epi-continuation method for minimization problems. Relation with the degree theory of F. Browder for maximal monotone operators," AVAMAC #87-02, Perpignan, 1987.
& , "[7] Isometries for the Legendre-Fenchel transform." Transactions of the American Mathematical Society 296 (1986), 33-60. | Zbl
& , "[8] Quantitative stability of variational systems: II. A framework for nonlinear conditioning," IIASA Working Paper 88-9, Laxenburg, Austria., February 1988.
& , "[9] Quantitative stability of variational systems: I. The epigraphical distance," IIASA Working Paper 88-8, Laxenburg, February 1988.
& , "[10] Lipschitzian stability of the epsilon-approximate solutions in convex optimization," IIASA Working Paper WP-87-25, Laxenburg, Austria, March 1987.
& , "[11] "Graphical convergence of set-valued maps," WP-87, IIASA Laxenburg, September 1987.
,[12] Applied Nonlinear Analysis, J. Wiley Intersciences, New York, 1984. | Zbl
& ,[13] Operations on convergent families of sets and functions," Techn. Report AVAMAC #87-05, Perpignan, 1987.
& , "[14] Convergence of Lagrange multipliers and dual variables for convex optimization problems," Mathematics of Operations Research 13 (1988), 74-79. | MR | Zbl
, "[15] Continuity of the Fenchel transform of convex functions," Proceedings of the American Mathematical Society 97 (August 1986), 661-667. | MR | Zbl
, "[16] On Mosco convergence of convex sets," B ulletin of the A ustralian Mathematical Society (1987) | MR | Zbl
, "[17] On the argmin multifuction for lower semicontinuous functions," Proceedings of the American Mathematical Society 102 (1988), 107-113. | Zbl
& , "[18] Opérateurs Maximaux Monotones et Semi-groupes de Contractions dans les Espaces de Hilbert, North Holland, Amsterdam, 1973. | MR | Zbl
,[19] Su una definizione dei Γ-limiti," Bollettino Unione Matematica Italiana 14-B (1977), 722-744. | MR | Zbl
, "[20] Convex Analysis and Measurable Multifunctions, Springer Verlag,Lecture Notes in Mathematics 580, Berlin, 1977. | Zbl
& ,[21] Optimization and Nonsmooth Analysis, Wiley-Interscience, New York, 1983. | MR | Zbl
,[22] Some properties of the viscosity solutions of Hamilton-Jacobi equations," Tansactions of the American Mathematical Society 282 (1984), 487-502. | Zbl
, & , "[23] Weak convergence of measures on spaces of lower semicontinuous functions," ISAS Report 8/86/M, Trieste, 1986.
, & , "[24] 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] Convergence of minima in convergence spaces," Optimization 17 (1986), 553-572. | MR | Zbl
, "[26] Régularisation s.c.i. et épiconvergence: approximations inf-convolutives associées à un référentiel," Annali di Matematica Puri ed Applicati (1986), preprint AVAMAC# 84-13.
& , "[27] Optimal trajectories associated to a solution of contingent Hamilton-Jacobi equation," Working Paper WP-87-069, I.I.A.S.A., Laxenburg, June 1987.
, "[28] Quelques théorèmes limites pour des ensembles aléatoires bornés ou non," Séminaire d'Analyse Convexe, Université du Languedoc 14 (1984), 12:1-12:50. | MR
, "[29] Formulations variationnelles de l'addition parallèle et de la soustraction parallèle d'opérateurs semi-definis positifs, Comptes Rendus de l'Académie des Sciences de Paris 302 (1986), 527-530. | Zbl
& , "[30] Une famille de topologies sur l'ensemble des fonstions convexes pour lesquelles la polarité est bicontinue," J. Mathématiques Pures et Appliquées 52 (1973). 421-441. | MR | Zbl
, "[31] Approximation et Optimisation, Hermann, Paris, 1972. | MR | Zbl
,[32] Rafle par un convexe variable, 1ère partie.," Séminaire d'Analyse Convexe, Université de Montpellier 1 (1971), 15:1-15:xx. | Zbl
, "[33] Rafle par un convexe variable, 2ème partie.," Séminaire d'Analyse Convexe, Université de Montpellier 2 (1972), 3:1-3:xx. | Zbl
, "[34] Calcul différentiel généralisé du second ordre pour des fonctions convexes," AVAMAC, Université de Perpignan, Vol.2, no. 2., 1986.
, "[35] Preservation of persistence and stability under intersection and operations," Manuscript, Université de Pau, 1986, (to appear).
, "[36] Local epi-continuity and local optimization," Mathematical Programming 37 (1987), 208-222. | MR | Zbl
, "[37] First and second-order epi-differentiability in nonlinear programming," Manuscript, University of Washington, Seattle, 1987. | MR
, "[38] Second-order optimality conditions in nonlinear programming obtained by way of epi-derivatives," Manuscript, University of Washington, Seattle, 1987.
, "[39] Variational systems, an introduction," in Multifunctions and Integrands: Stochastic Analysis, Approximation and Optimization, G. Salinetti, ed., Springer Verlag,Lecture Notes in Mathematics 1091, Berlin, 1984, 1-54.
& , "[40] Equations inf-convolutives," Manuscript, Université de Limoges, February 1988.
, "