JNCA: An inverse of the Berge maximum theorem for infinite dimensional spaces



	Volume 9, Number 2, August 2008, pp. 161-167
Takamitsu Yamauchi
Key words:
the Berge maximum theorem, set-valued mapping, approximate selection
Mathematices Subject Classification: Primary 54C60, 54C65, 91B50

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	Abstract:
	An inverse of the Berge maximum theorem for paracompact domains and locally convex topological vector space ranges is proved. Cellina's approximate selection theorem for paracompact domains and locally convex topological vector space ranges is also obtained.

An inverse of the Berge maximum theorem for infinite dimensional spaces