Existence results for generalized vector equilibrium problems with multivalued mappings via KKM theory. (English) Zbl 1157.49012

Summary: We first define upper sign continuity for a set-valued mapping and then we consider two types of generalized vector equilibrium problems in topological vector spaces and provide sufficient conditions under which the solution sets are nonempty and compact. Finally, we give an application of our main results. The paper generalizes and improves results obtained by Fang and Huang in (2005).


49J40 Variational inequalities
47H10 Fixed-point theorems
47H05 Monotone operators and generalizations
49J53 Set-valued and variational analysis
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