The Convergent Behavior for Parametric Generalized Vector Equilibrium Problems

Autor: Yen-Cherng Lin, Po-Jen Cheng, Su-Ling Lee
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Journal of Applied Mathematics, Vol 2012 (2012)
Druh dokumentu: article
ISSN: 1110-757X
1687-0042
DOI: 10.1155/2012/183040
Popis: 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 and described successfully that the optimal solution of will approach the optimal solution of linear program (P).
Databáze: Directory of Open Access Journals