## Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2015, Special Issue (2014), Article ID 108357, 10 pages.

### Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems

#### Abstract

We introduce and study well-posedness in connection with the symmetric vector quasi-equilibrium problem, which unifies its Hadamard and Levitin-Polyak well-posedness. Using the nonlinear scalarization function, we give some sufficient conditions to guarantee the existence of well-posedness for the symmetric vector quasi-equilibrium problem.

#### Article information

Source
J. Appl. Math., Volume 2015, Special Issue (2014), Article ID 108357, 10 pages.

Dates
First available in Project Euclid: 15 April 2015

https://projecteuclid.org/euclid.jam/1429105545

Digital Object Identifier
doi:10.1155/2015/108357

Mathematical Reviews number (MathSciNet)
MR3319185

Zentralblatt MATH identifier
1346.49037

#### Citation

Zhang, Wei-bing; Huang, Nan-jing; O’Regan, Donal. Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems. J. Appl. Math. 2015, Special Issue (2014), Article ID 108357, 10 pages. doi:10.1155/2015/108357. https://projecteuclid.org/euclid.jam/1429105545

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