## Abstract and Applied Analysis

### Existence Results for Generalized Vector Equilibrium Problems with Multivalued Mappings via KKM Theory

#### Abstract

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).

#### Article information

Source
Abstr. Appl. Anal., Volume 2008 (2008), Article ID 968478, 8 pages.

Dates
First available in Project Euclid: 10 February 2009

https://projecteuclid.org/euclid.aaa/1234299001

Digital Object Identifier
doi:10.1155/2008/968478

Mathematical Reviews number (MathSciNet)
MR2466223

Zentralblatt MATH identifier
1157.49012

#### Citation

Farajzadeh, A. P.; Amini-Harandi, A.; O'Regan, D. Existence Results for Generalized Vector Equilibrium Problems with Multivalued Mappings via KKM Theory. Abstr. Appl. Anal. 2008 (2008), Article ID 968478, 8 pages. doi:10.1155/2008/968478. https://projecteuclid.org/euclid.aaa/1234299001

#### References

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