GENERALIZED VECTOR VARIATIONAL-TYPE INEQUALITIES IN FC-SPACES  

作　　者：方敏 丁协平 

机构地区：[1]College of Mathematics,Sichuan University,Chengdu 610064,P. R. China [2]College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第11期1451-1459,共9页应用数学和力学（英文版）

基　　金：Project supported by the Natural Science Foundation of Sichuan Education Department of China(No.2003A081)

摘　　要：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 general- ized vector variational inequality problem as special cases. By using F-KKM theorem, some new existence results for GVVTIP axe established in noncompact FC-space. As consequences, some recent known results in literature are obtained under much weaker assumption.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 general- ized vector variational inequality problem as special cases. By using F-KKM theorem, some new existence results for GVVTIP axe established in noncompact FC-space. As consequences, some recent known results in literature are obtained under much weaker assumption.

关 键 词：generalized vector variational-type inequality F-KKM mapping F-Px-diagonally quasiconvex FC-SPACE 

分 类 号：O177.9[理学—数学]