References
References
- Attouch H 1984 Variational Convergence for Functions and Operators, Pitman Boston
- Attouch , H , Azé , D and Beer , G . 1991 . On some inverse stability problems for the epigraphical sum . Nonlinear Anal. , 16 : 241 – 254 .
- Attouch , H and Wets , RJ-B . 1992 . Quantitative stability of variational systems: I. The epigraphical distance . Trans. Amer. Math. Soc. , 328 : 695 – 729 .
- Aubin J-P Frankowska H 1990 Set-Valued Analysis, Birkhäuser Basel
- Azé , D and Penot , J-P . 1990 . Operations on convergent families of sets and functions . Optimization , 21 : 521 – 534 .
- Azé , D and Rahmouni , A . 1994 . Lipschitz behaviour of the Legendre–Fenchel transform . Set-Valued Anal. , 2 : 35 – 48 .
- Beer , G . 1990 . Conjugate convex functions and the epi-distance topology . Proc. Amer. Math. Soc. , 108 : 117 – 126 .
- Beer G 1993 Topologies on Closed and Closed Convex Sets, Kluwer Dordrecht
- Beer , G and Lucchetti , R . 1991 . Convex optimization and the epi-distance topology . Trans. Amer. Math. Soc. , 327 : 795 – 813 .
- Beer , G and Lucchetti , R . 1992 . The epi-distance topology: continuity and stability results with applications to convex optimization problems . Math. Oper. Res. , 17 : 715 – 726 .
- Contesse , L and Penot , J-P . 1991 . Continuity of the Fenchel correspondence and continuity of polarities . J. Math. Anal. Appl. , 156 : 305 – 328 .
- Dal Maso G 1993 An Introduction to Γ-Convergence, Birkhäuser Basel
- Dal Maso , G and Frankowska , H . 2000 . Value functions for Bolza problems with discontinuous Lagrangians and Hamilton–Jacobi inequalities, ESAIM . Control Optim. Calc. Var. , 5 : 369 – 393 .
- Dolecki S 1992 Introduction to general duality theory for multi-objective optimization Advances in optimization, Proc. 6th Fr.-Ger. Colloq., Lambrecht, Germany 1991 Lect. Notes Econ. Math. Syst. 382 384 405
- Imbert , C . 2001 . Convex analysis techniques for Hopf-Lax formulae in Hamilton-Jacobi equations . J. Nonlinear Convex Anal. , 2 : 333 – 343 .
- Joly J-L 1973 Une famille de topologies sur l’ensemble des fonctions convexes pour lesquelles la polarité est bicontinue J. Math. Pures Appl. IX. Sér 52 421 441
- Matzeu M 1977 Su un tipo di continuita dell'operatore subdifferenziale Boll. Unione Mat. Ital. V. Ser. B 14 480 490
- Penot , J-P . 1991 . The cosmic Hausdorff topology, the bounded Hausdorff topology and continuity of polarity . Proc. Amer. Math. Soc. , 113 : 275 – 285 .
- Penot J-P 1993 Preservation of persistence and stability under intersections and operations. I. Persistence J. Optim. Theory Appl. 79 525 550 II. Stability, ibid. 551–561
- Penot , J-P . 2002 . Lipschitzian behavior of the Fenchel biconjugacy . J. Convex Anal. , 9 : 601 – 607 .
- Penot J-P Volle M 2001 Convexity and generalized convexity methods for the study of Hamilton–Jacobi equations Proc. Sixth Conference on Generalized Convexity and Generalized Monotonicity, Samos, Sept. 1999 N. Hadjisavvas, J.-E. Martinez-Legaz, J.-P. Penot (Eds.), Lecture Notes in Econ. and Math. Systems 502 Springer Berlin 294 316
- Penot J-P Volle M 1999 Duality methods for the study of Hamilton–Jacobi equations preprint Univ. of Avignon and Pau
- Penot , J-P and Zălinescu , C . 2003 . Continuity of usual operations and variational convergences . Set-Valued Anal. , 11 : 225 – 256 .
- Penot J-P Zălinescu C 2000 Persistence and stability of solutions to Hamilton–Jacobi equations preprint Univ. of Pau June
- Penot J-P Zălinescu C 2004 Bounded (Hausdorff) convergence: basic facts and applications in F. Giannessi and A. Maugeri (Eds.) Variational Analysis and Applications, Kluwer Acad. Publ. Dordrecht (to appear)
- Rockafellar RT Wets RJ-B 1997 Variational Analysis, Springer-Verlag Berlin
- Walkup , DW and Wets , RJ-B . 1967 . Continuity of some convex-cone-valued mappings . Proc. Amer. Math. Soc. , 18 : 229 – 235 .
- Wenczel , R and Eberhard , A . 1999 . Slice convergence in parametrised sums of convex functions in non-reflexive Banach spaces . Bull. Austral. Math. Soc. , 60 : 429 – 458 .
- Zălinescu C 2002 Convex Analysis in General Vector Spaces, World Scientific Singapore
- Zălinescu , C . 2003 . Slice convergence for some classes of convex functions . J. Nonlinear Convex Anal. , 4 : 185 – 214 .