Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications

Joint Authors

Qu, De-ning
Cheng, Cao-zong

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-03-27

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

The aim of this paper is to study generalized vector quasi-equilibrium problems (GVQEPs) by scalarization method in locally convex topological vector spaces.

A general nonlinear scalarization function for set-valued mappings is introduced, its main properties are established, and some results on the existence of solutions of the GVQEPs are shown by utilizing the introduced scalarization function.

Finally, a vector variational inclusion problem is discussed as an application of the results of GVQEPs.Erratum to “Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications”dx.doi.org/10.1155/2013/262798

American Psychological Association (APA)

Qu, De-ning& Cheng, Cao-zong. 2013. Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-507822

Modern Language Association (MLA)

Qu, De-ning& Cheng, Cao-zong. Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-507822

American Medical Association (AMA)

Qu, De-ning& Cheng, Cao-zong. Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-507822

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-507822