@article{M2AN_1972__6_1_15_0, author = {Bereanu, Bernard}, title = {Quasi-convexity, strictly quasi-convexity and pseudo-convexity of composite objective functions}, journal = {Revue fran\c{c}aise d'automatique informatique recherche op\'erationnelle. Math\'ematique}, pages = {15--26}, publisher = {Dunod}, address = {Paris}, volume = {6}, number = {R1}, year = {1972}, mrnumber = {318417}, zbl = {0268.90052}, language = {en}, url = {http://archive.numdam.org/item/M2AN_1972__6_1_15_0/} }
TY - JOUR AU - Bereanu, Bernard TI - Quasi-convexity, strictly quasi-convexity and pseudo-convexity of composite objective functions JO - Revue française d'automatique informatique recherche opérationnelle. Mathématique PY - 1972 SP - 15 EP - 26 VL - 6 IS - R1 PB - Dunod PP - Paris UR - http://archive.numdam.org/item/M2AN_1972__6_1_15_0/ LA - en ID - M2AN_1972__6_1_15_0 ER -
%0 Journal Article %A Bereanu, Bernard %T Quasi-convexity, strictly quasi-convexity and pseudo-convexity of composite objective functions %J Revue française d'automatique informatique recherche opérationnelle. Mathématique %D 1972 %P 15-26 %V 6 %N R1 %I Dunod %C Paris %U http://archive.numdam.org/item/M2AN_1972__6_1_15_0/ %G en %F M2AN_1972__6_1_15_0
Bereanu, Bernard. Quasi-convexity, strictly quasi-convexity and pseudo-convexity of composite objective functions. Revue française d'automatique informatique recherche opérationnelle. Mathématique, Tome 6 (1972) no. R1, pp. 15-26. http://archive.numdam.org/item/M2AN_1972__6_1_15_0/
[1] Quasi-coneave programming », Econo-metrica, 29 (1961), 779-800. | MR | Zbl
and , «[2] Nonlinear programming for models with joint constraints, in Abadie J. (ed) Integer and nonlinear programming, North-Holland (1970), 337-352. | Zbl
,[3] Programme de risque minimal en programmation linéaire sto-chastique », C.R. Acad. Sci. Paris, 258 (1964), 5, 981-983. | MR | Zbl
, «[4] On the composition of convex functions », Rev. Roum. Math.Pures AppL, 14 (1969), 1078-1084, | MR | Zbl
, «[5] Indefinite quadratic programming with Standard errors in objective », Cahiers Centre d'Étude Recherche Opér. 10 (1968), 4, 247-253. | MR | Zbl
, «[6] A quadratic equivalent of the minimum risk problem », Rev. Roum. Math. Pures et Appl., 15 (1970), 17-23. | MR | Zbl
, «[7] Deterministic équivalents for optimizing and satisticing under chance constraints », Oper. Res. 11 (1963), 18-39. | MR | Zbl
and , «[8] An algorithm for minimum risk solution of stochastic programming (to be published). | Zbl
,[9] Convex cones, sets and functions, Princeton Univ., Princeton, 1953 (mimeographed). | Zbl
,[10] Stochastic programming with aspiration or fracile criteria » Management Sci., 13 (1967), 672-679. | MR | Zbl
, «[11] Bounds for functionnaly convex optimal control problems », J. Matg. Anal. Appl., 8 (1964), 84-89. | MR | Zbl
, «[12] Microeconomic theory, Mc Graw-Hill, New York, London, 1958 | Zbl
and ,[13] Nonlinear programming, Proceed. Second Berkeley Symp. Math. Stat. Prob., Univ. Of California Press, Berkeley, 1951, 481-492. | MR | Zbl
and ,[14] Strictly quasi-convex (concave) functions and duality in mathematical programming », J. Math. Anal. Appl., 20 (1967), 344-358. | MR | Zbl
, «[15] Stochastic programming. Maximum probality model », Hitotsubashi J. Arts Sciences, 8 (1967), 51-59. | MR | Zbl
, «[16] Pseudo-convex functions », J. Siam Control, 8 (1965), 281-290. | MR | Zbl
, «[17] Convexity, pseudo-convexity and quasi-convexity of composite functions », Cahiers Centre d'Études Recherche Opér., 12 (1970). 114-122. | MR | Zbl
, «[18] Quasi-convexity and quasi-monotonicity in non-linear programming », Studia Sci. Math. Hungarica, 2 (1967), 265-273. | MR | Zbl
. «[19] Programming under probabilistic constraints and programming under constraints involving conditional expectations, 7th Mathematical Programming Symposium 1970, Abstracts, 107-109, North-Holland Amsterdam 1970.
,[20] Foundations of economic analysis, Harvard Univ. Press, Cambridge, 1963. | MR | Zbl
,[21] Convexity and optimization in finite dimensions I, Springer, New York, Berlin, 1970. | MR | Zbl
and ,