On a class of functions with equal infima over a domain and its boundary |
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Authors: | O Naselli |
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Institution: | (1) Dipartimento di Matematica, Università di Catania, Catania, Italy |
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Abstract: | In this paper, we present a class of functions:f:X![rarr](/content/73r2739m45251409/xxlarge8594.gif) such that inf
x X
f(x)=
, whereX is a nonempty, finitely compact and convex set in a vector space andB
x
={x X: y aff(X) {x:x, y] X={x}. Our main tool is a recent minimax theorem by Ricceri (Ref. 1). |
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Keywords: | Convex sets concave functions affine hulls boundary of a domain minimax problems |
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