%0 Journal Article
%T An Existence Theorem of Solutions for the System of Generalized Vector Quasi-Variational-Like Inequalities
%A Shamshad Husain
%A Sanjeev Gupta
%A Vishnu Narayan Mishra
%J American Journal of Operations Research
%P 329-336
%@ 2160-8849
%D 2013
%I Scientific Research Publishing
%R 10.4236/ajor.2013.33029
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	<span lang=\"EN-US\">In this paper, we introduce and study the system of generalized
vector quasi-variational-like inequali</span><span lang=\"EN-US\">ti</span><span lang=\"EN-US\">es in Hausdorff topological vector spaces,
which include the system of vector quasi-variational-like inequalities, the
system of vector variational-like inequalities, the system of vector
quasi-variational inequalities, and several other systems as special cases.
Moreover, a number of C-diagonal quasiconvexity properties are proposed for
set-valued maps, which are natural generalizations of the g-diagonal
quasiconvexity for real functions. Together with an application of continuous
selection and fixed-point theorems, these conditions enable us to prove unified
existence results of solutions for the system of generalized vector
quasi-variational-like inequalities. The results of this paper can be seen as
extensions and generaliz</span><span lang=\"EN-US\">a</span><span lang=\"EN-US\">tions of several known results in the
literature.</span><span lang=\"EN-US\"><o:p></o:p></span> 
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%K The System of Generalized Vector Quasi-Variational-Like Inequalities
%K Fixed Point Theorem
%K Open Lower Section
%K Upper Semicontinuous
%K C-Diagonal Quasiconvexity
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=31661