The principal aim of this paper is to extend some recent results which concern problems involving bifunctions to similar generalized problems for multivalued bifunctions. To this end, by using the appropriate notions of strict pseudomonotonicity we establish the relationships between generalized vector equilibrium problems and generalized minimal element problems of feasible sets. Moreover relationships between generalized least element problems of feasible sets and generalized vector equilibrium problems are studied by employing the concept of Z-multibifunctions.

Equilibrium and least element problems for multivalued functions

VESPUCCI, Maria Teresa;ALLEVI, Elisabetta;GNUDI, Adriana
2010-01-01

Abstract

The principal aim of this paper is to extend some recent results which concern problems involving bifunctions to similar generalized problems for multivalued bifunctions. To this end, by using the appropriate notions of strict pseudomonotonicity we establish the relationships between generalized vector equilibrium problems and generalized minimal element problems of feasible sets. Moreover relationships between generalized least element problems of feasible sets and generalized vector equilibrium problems are studied by employing the concept of Z-multibifunctions.
journal article - articolo
2010
Vespucci, Maria Teresa; Allevi, Elisabetta; Schaible, Siegfried; Gnudi, Adriana
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/23082
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