A Note on Scalar-Valued Gap Functions for Generalized Vector Variational Inequalities

Joint Authors

Sun, Xiang-Kai
Fu, Hong-Yong
Chai, Yi

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-12-26

Country of Publication

Egypt

No. of Pages

4

Main Subjects

Mathematics

Abstract EN

This paper is concerned with gap functions of generalized vector variational inequalities (GVVI).

By using scalarization approach, scalar-valued variational inequalities of (GVVI) are introduced.

Some relationships between the solutions of (GVVI) and its scalarized versions are established.

Then, by using these relationships and some mild conditions, scalar-valued gap functions for (GVVI) are established.

American Psychological Association (APA)

Sun, Xiang-Kai& Fu, Hong-Yong& Chai, Yi. 2013. A Note on Scalar-Valued Gap Functions for Generalized Vector Variational Inequalities. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-475929

Modern Language Association (MLA)

Sun, Xiang-Kai…[et al.]. A Note on Scalar-Valued Gap Functions for Generalized Vector Variational Inequalities. Abstract and Applied Analysis No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-475929

American Medical Association (AMA)

Sun, Xiang-Kai& Fu, Hong-Yong& Chai, Yi. A Note on Scalar-Valued Gap Functions for Generalized Vector Variational Inequalities. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-475929

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-475929