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http://dx.doi.org/10.5391/IJFIS.2006.6.1.070

Some generalized weak vector quasivariational-like inequalities for fuzzy mappings  

Lee Byung-Soo (Department of Mathematics, Kyungsung University)
Cho Hyun-Duk (Department of Mathematics, Kyungsung University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.6, no.1, 2006 , pp. 70-76 More about this Journal
Abstract
Some Stampacchia type of generalized weak vector quasivariational-like inequalities for fuzzy mappings was introduced and the existence of solutions to them under non-compact assumption was considered using the particular form of the generalized Ky Fan's section theorem due to Park [15]. As a corollary, Stampacchia type of generalized vector quasivariational-like inequalities for fuzzy mappings was studied under compact assumption using Ky Fan's section theorem [7].
Keywords
Fuzzy mapping; weak vector quasivariational-like inequality; generalized Ky Fan's section theorem; topologically open fuzzy set-valued; weakly open fuzzy set-valued;
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