%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