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GENERALIZED VECTOR VARIATIONAL-TYPE INEQUALITIES IN FC-SPACES

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    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

Received date: 2005-11-01

  Revised date: 2006-06-16

  Online published: 2006-11-18

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.

Cite this article

FANG Min;DING Xie-ping . GENERALIZED VECTOR VARIATIONAL-TYPE INEQUALITIES IN FC-SPACES[J]. Applied Mathematics and Mechanics, 2006 , 27(11) : 1451 -1459 . DOI: 10.1007/s10483-006-1102-1

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