## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2013 (2013), Article ID 431717, 5 pages.

### Connectedness of Solution Sets for Weak Vector Variational Inequalities on Unbounded Closed Convex Sets

Ren-you Zhong, Yun-liang Wang, and Jiang-hua Fan

#### Abstract

We study the connectedness of solution set for set-valued weak vector
variational inequality in unbounded closed convex subsets of finite
dimensional spaces, when the mapping involved is scalar
*C*-pseudomonotone. Moreover, the path connectedness of solution
set for set-valued weak vector variational inequality is established,
when the mapping involved is strictly scalar *C*-pseudomonotone.
The results presented in this paper generalize some known results by
Cheng (2001), Lee et al. (1998), and Lee and Bu (2005).

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2013 (2013), Article ID 431717, 5 pages.

**Dates**

First available in Project Euclid: 27 February 2014

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1393511851

**Digital Object Identifier**

doi:10.1155/2013/431717

**Mathematical Reviews number (MathSciNet)**

MR3045042

**Zentralblatt MATH identifier**

1272.49023

#### Citation

Zhong, Ren-you; Wang, Yun-liang; Fan, Jiang-hua. Connectedness of Solution Sets for Weak Vector Variational Inequalities on Unbounded Closed Convex Sets. Abstr. Appl. Anal. 2013 (2013), Article ID 431717, 5 pages. doi:10.1155/2013/431717. https://projecteuclid.org/euclid.aaa/1393511851