Continuity of the Optimal Value Function under some Hyperspace Topologies
Journal of convex analysis, Tome 12 (2005) no. 2, pp. 397-406
Voir la notice de l'article provenant de la source Heldermann Verlag
We characterize UC, boundedly UC and reflexive spaces in terms of continuity of the optimal value function of abstract minimization problems with respect to some hyperspace topologies defined on the classes of nonempty closed and closed convex sets.
@article{JCA_2005_12_2_JCA_2005_12_2_a9,
author = {A. K. Chakrabarty and P. Shunmugaraj},
title = {Continuity of the {Optimal} {Value} {Function} under some {Hyperspace} {Topologies}},
journal = {Journal of convex analysis},
pages = {397--406},
publisher = {mathdoc},
volume = {12},
number = {2},
year = {2005},
url = {http://geodesic.mathdoc.fr/item/JCA_2005_12_2_JCA_2005_12_2_a9/}
}
TY - JOUR AU - A. K. Chakrabarty AU - P. Shunmugaraj TI - Continuity of the Optimal Value Function under some Hyperspace Topologies JO - Journal of convex analysis PY - 2005 SP - 397 EP - 406 VL - 12 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JCA_2005_12_2_JCA_2005_12_2_a9/ ID - JCA_2005_12_2_JCA_2005_12_2_a9 ER -
%0 Journal Article %A A. K. Chakrabarty %A P. Shunmugaraj %T Continuity of the Optimal Value Function under some Hyperspace Topologies %J Journal of convex analysis %D 2005 %P 397-406 %V 12 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/JCA_2005_12_2_JCA_2005_12_2_a9/ %F JCA_2005_12_2_JCA_2005_12_2_a9
A. K. Chakrabarty; P. Shunmugaraj. Continuity of the Optimal Value Function under some Hyperspace Topologies. Journal of convex analysis, Tome 12 (2005) no. 2, pp. 397-406. http://geodesic.mathdoc.fr/item/JCA_2005_12_2_JCA_2005_12_2_a9/