Generalized vector variational-type inequalities in FC-spaces

Author: Fang Min   Ding Xie-ping  

Publisher: Springer Publishing Company

ISSN: 0253-4827

Source: Applied Mathematics and Mechanics, Vol.27, Iss.11, 2006-11, pp. : 1451-1459

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Abstract

A class of generalized vector variational-type inequality problems (GVVTIP) are studied in FC-spaces, which includes the most of vector equilibrium problems, vector variational inequality problems, generalized vector equilibrium problems and generalized vector variational inequality problem as special cases. By using F-KKM theorem, some new existence results for GVVTIP are established in noncompact FC-space. As consequences, some recent known results in literature are obtained under much weaker assumption.