Refinements of existence results for relaxed quasimonotone equilibrium problems

M. Castellani and M. Giuli ()

Journal of Global Optimization, 2013, vol. 57, issue 4, 1213-1227

Abstract: We consider a general equilibrium problem in a normed vector space setting and we establish sufficient conditions for the existence of solutions in compact and non compact cases. Our approach is based on the concept of upper sign property for bifunctions, which turns out to be a very weak assumption for equilibrium problems. In the framework of variational inequalities, this notion coincides with the upper sign continuity for a set-valued operator introduced by Hadjisavvas. More in general, it allows to strengthen a number of existence results for the class of relaxed $$\mu $$ -quasimonotone equilibrium problems. Copyright Springer Science+Business Media New York 2013

Keywords: Equilibrium problems; Relaxed $$\mu $$ -quasimonotonicity; Upper sign property; Coercivity conditions; 90C47; 49J35 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (9)

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DOI: 10.1007/s10898-012-0021-2

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