Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 183040, 12 pages.

The Convergent Behavior for Parametric Generalized Vector Equilibrium Problems

Yen-Cherng Lin, Po-Jen Cheng, and Su-Ling Lee

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Abstract

We study some properties for parametric generalized vector equilibrium problems and the convergent behavior for the correspondent solution sets of this problem under some suitable conditions. Several existence results and the topological structures of the efficient solutions set are established. Some new results of existence for weak solutions and strong solutions are derived. Finally, we give some examples to illustrate our theory including the example studied by Fang (1992), who established the perturbed nonlinear program (Pμ) and described successfully that the optimal solution of (Pμ) will approach the optimal solution of linear program (P).

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 183040, 12 pages.

Dates
First available in Project Euclid: 3 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357178240

Digital Object Identifier
doi:10.1155/2012/183040

Mathematical Reviews number (MathSciNet)
MR2997278

Zentralblatt MATH identifier
1264.49001

Citation

Lin, Yen-Cherng; Cheng, Po-Jen; Lee, Su-Ling. The Convergent Behavior for Parametric Generalized Vector Equilibrium Problems. J. Appl. Math. 2012, Special Issue (2012), Article ID 183040, 12 pages. doi:10.1155/2012/183040. https://projecteuclid.org/euclid.jam/1357178240


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