Existence results for vector equilibrium problems given by a sum of two functions

Gábor Kassay () and Mihaela Miholca ()

Journal of Global Optimization, 2015, vol. 63, issue 1, 195-211

Abstract: We obtain existence results for the weak vector equilibrium problem where the function involved is a sum of two functions, and the assumptions are required separately on each of these functions. We show that some earlier results of this type contain too demanding assumptions. We relax several of these assumption without loosing the results. The special case of reflexive Banach spaces is also studied, where we make use of the fact that closed balls are weakly compact. Copyright Springer Science+Business Media New York 2015

Keywords: Vector equilibrium problem; $$K$$ K -upper semicontinuous function; Essentially quasimonotone bifunction; $$K$$ K -convex bifunction; Coercivity condition; KKM-mapping (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10898-014-0264-1

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