Abstract

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

Author information

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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

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Suggested citation

A. K. Chakrabarty, P. Shunmugaraj. “Continuity of the Optimal Value Function under some Hyperspace Topologies.” Journal of Convex Analysis 12 (2005), No. 2, 397–406. https://doi.org/10.68381/jca12027

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Published by Heldermann Verlag, 2005. Rights now held by Banach Press.