Qualitative analysis of basic notions in parametric convex programming. II. Parameters in the objective function
Applications of Mathematics, Tome 22 (1977) no. 5, pp. 333-348.
Voir la notice de l'article dans Czech Digital Mathematics Library
The paper presents a qualitative analysis of basic notions in parametric convex programming for convex programs with parameters in the objective function. These notions are the set of feasible parameters, the solvability set and the stability sets of the first and of the second kind. The functions encountered in the paper are assumed to possess first order partial continuous derivatives on $R^n$, the parameters assume arbitrary nonnegative real values and therefore the results obtained in the paper can be used for a wide class of convex programs.
@article{10_21136_AM_1977_103711, author = {Osman, Mohamed Sayed Ali}, title = {Qualitative analysis of basic notions in parametric convex programming. {II.} {Parameters} in the objective function}, journal = {Applications of Mathematics}, pages = {333--348}, publisher = {mathdoc}, volume = {22}, number = {5}, year = {1977}, doi = {10.21136/AM.1977.103711}, mrnumber = {0449693}, zbl = {0383.90098}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1977.103711/} }
TY - JOUR AU - Osman, Mohamed Sayed Ali TI - Qualitative analysis of basic notions in parametric convex programming. II. Parameters in the objective function JO - Applications of Mathematics PY - 1977 SP - 333 EP - 348 VL - 22 IS - 5 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1977.103711/ DO - 10.21136/AM.1977.103711 LA - en ID - 10_21136_AM_1977_103711 ER -
%0 Journal Article %A Osman, Mohamed Sayed Ali %T Qualitative analysis of basic notions in parametric convex programming. II. Parameters in the objective function %J Applications of Mathematics %D 1977 %P 333-348 %V 22 %N 5 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1977.103711/ %R 10.21136/AM.1977.103711 %G en %F 10_21136_AM_1977_103711
Osman, Mohamed Sayed Ali. Qualitative analysis of basic notions in parametric convex programming. II. Parameters in the objective function. Applications of Mathematics, Tome 22 (1977) no. 5, pp. 333-348. doi : 10.21136/AM.1977.103711. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1977.103711/
Cité par Sources :