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On a class of functions with equal infima over a domain and its boundary
Authors:O Naselli
Institution:(1) Dipartimento di Matematica, Università di Catania, Catania, Italy
Abstract:In this paper, we present a class of functions:f:XrarrMediaObjects/10957_2005_BF02192283_f1.jpg such that inf xisinX f(x)= 
$$\inf _{x \in {\rm B}_X } f(x)$$
, whereX is a nonempty, finitely compact and convex set in a vector space andB x ={xisinX: existyisin aff(X)setmn{x:x, y]capX={x}. Our main tool is a recent minimax theorem by Ricceri (Ref. 1).
Keywords:Convex sets  concave functions  affine hulls  boundary of a domain  minimax problems
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