Voir la notice de l'article provenant de la source Cambridge University Press
Borwein, J. M.; Théra, M. Sandwich Theorems for Semicontinuous Operators. Canadian mathematical bulletin, Tome 35 (1992) no. 4, pp. 463-474. doi: 10.4153/CMB-1992-061-7
@article{10_4153_CMB_1992_061_7,
author = {Borwein, J. M. and Th\'era, M.},
title = {Sandwich {Theorems} for {Semicontinuous} {Operators}},
journal = {Canadian mathematical bulletin},
pages = {463--474},
year = {1992},
volume = {35},
number = {4},
doi = {10.4153/CMB-1992-061-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-061-7/}
}
TY - JOUR AU - Borwein, J. M. AU - Théra, M. TI - Sandwich Theorems for Semicontinuous Operators JO - Canadian mathematical bulletin PY - 1992 SP - 463 EP - 474 VL - 35 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-061-7/ DO - 10.4153/CMB-1992-061-7 ID - 10_4153_CMB_1992_061_7 ER -
[B-G-K-K-T] Bank, B., Guddat, J., Klatte, D., Kummer, B., Tammer, K., Nonlinear parametric optimization. Akademie Verlag, Berlin, 1982. Google Scholar
[Be] Beer, G., Lattice semicontinuous functions and their applications, Houston J. Math. 13(1987), 303–318. Google Scholar
[Ber] Berge, C., Espaces topologiques. (2nd éd.), Paris, 1966. Google Scholar
[Bo] Borwein, J. M., Continuity and differintiability properties of convex operators, Proc. London Math. Soc. 44(1982), 420–444. Google Scholar
[Bo-Pe-Th] Borwein, J. M., Penot, J-R, Théra, M., Conjugate convex operators, Journal of Math. Anal, and Appl. 102(1984), 399–414. Google Scholar
[Ce] Cellina, A., A fixed point theorem for subsets of L1, multifunctions and integrands. Catania, 1983. Lecture Notes in Math. 1091, Springer-Verlag, 1984. Google Scholar
[Du] Dugundji, J., Topology. Allyn and Bacon, Inc., Boston, 1970. Google Scholar
[E] Engleking, R., General Topology. Polish Scientific Publishers, Warsaw, 1977. Google Scholar
[Ho] Holmes, R. B., Geometric functional analysis and its applications. Springer-Verlag, 1975. Google Scholar
[Ja] Jameson, G. J. O., Topology and normed spaces. Chipman and Hall, London, 1974. Google Scholar
[Ku] Kuratowski, K., Topology I. PWN-Academic Press, 1966. Google Scholar
[Lee-Spa] Lechicki, A., Spakowski, A., A note on intersection of lower semicontinuous multifunctions, Proc. Amer. Math. Soc. (1) 95(1986), 114–122. Google Scholar
[L-P] Luchetti, R., Patrone, F., Closure and upper semicontinuity results in mathematical programming, Nash and economic equilibria, Optimization 17(1980), 619–628. Google Scholar
[Lux-Za] W. Luxemburg, A. J., Zaanen, A. C., Riesz Spaces, Vol. 1, North-Holland, 1971. Google Scholar
[No] Noll, D., Continuous affine support mappings for convex operators, J. of Func. Anal., (2)76(1988), 411– 431. Google Scholar
[Pe-Th] Penot, J-P., Théra, M., Semicontinuous mappings in general topology, Ark. Mat. (2)38(1982), 158–166. Google Scholar
[Ro] Robert, R., Convergence de fonctionnelles convexes, C.R. Acad. Sci. Paris 278(1973), 905–907. Google Scholar
[Sch﹜] Schaeffer, H. H., Halbgeordnete lokalkonvex Vectorrame, 111, Math. Ann. 141(1960), 113–142. Google Scholar
[SCI12] Schaeffer, H. H., Topological vector spaces. Springer-Verlag, 1970. Google Scholar
[Spa] Spakowski, A., On approximation by step multifunctions, Comment. Math. (2)28(1985), 363–371. Google Scholar
[Str] Stromberg, K. R., Introduction to classical real analysis. Wardsworth International Mathematics Series. Google Scholar
[Th] Théra, M., Étude des fonctions convexes vectorielles semi-continues. Thèse, Université de Pau, 1978. Google Scholar
[Van Go] van Gool, F., Semicontinuousfunctions with values in a uniform ordered space. Preprint 559, University of Utrecht, 1989. Google Scholar
[Yo] Yosida, K., Functional analysis. Springer-Verlag, New York, 1978. Google Scholar
Cité par Sources :