%0 Journal Article %T Well-posedness for a class of strong vector equilibrium problems %A Yanlong, Yang %A Xicai, Deng %A Shuwen, Xiang %A Wensheng, Jia %J Journal of Nonlinear Sciences and Applications %D 2017 %V 10 %N 1 %@ ISSN 2008-1901 %F Yanlong2017 %X In this paper, we first construct a complete metric space \(\Lambda\) consisting of a class of strong vector equilibrium problems (for short, (SVEP)) satisfying some conditions. Under the abstract framework, we introduce a notion of well-posedness for the (SVEP), which unifies its Hadamard and Tikhonov well-posedness. Furthermore, we prove that there exists a dense \(G_{\delta}\) set Q of \(\Lambda\) such that each (SVEP) in Q is well-posed, that is, the majority (in Baire category sense) of (SVEP) in \(\Lambda\) is well-posed. Finally, metric characterizations on the well-posedness for the (SVEP) are given. %9 journal article %R 10.22436/jnsa.010.01.08 %U http://dx.doi.org/10.22436/jnsa.010.01.08 %P 84--91