Journal of Convex Analysis 12 (2005), No. 2, 397--406
Copyright Heldermann Verlag 2005
Continuity of the Optimal Value Function under some Hyperspace Topologies
A. K. Chakrabarty
Dept. of Mathematics, Indian Institute of Technology, Kanpur 208016, India
P. Shunmugaraj
Dept. of Mathematics, Indian Institute of Technology, Kanpur 208016, India
psraj@iitk.ac.in
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.
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