@Article{Yanlong2017,
author="Yang Yanlong, Deng Xicai, Xiang Shuwen, Jia Wensheng",
title="Well-posedness for a class of strong vector equilibrium problems",
year="2017",
volume="10",
number="1",
pages="84--91",
abstract="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.",
issn="ISSN 2008-1901",
doi="10.22436/jnsa.010.01.08",
url="http://dx.doi.org/10.22436/jnsa.010.01.08"
}