TY - JOUR A2 - Yao, Jen Chih AU - Lin, Yen-Cherng AU - Cheng, Po-Jen AU - Lee, Su-Ling PY - 2012 DA - 2012/11/26 TI - The Convergent Behavior for Parametric Generalized Vector Equilibrium Problems SP - 183040 VL - 2012 AB - 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 oflinear program (P). SN - 1110-757X UR - https://doi.org/10.1155/2012/183040 DO - 10.1155/2012/183040 JF - Journal of Applied Mathematics PB - Hindawi Publishing Corporation KW - ER -