Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 32 Issue 2
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- Pages.343-348
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- 1995
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
Some existence theorems for generalized vector variational inequalities
- Lee, Gue-Myung (Department of Natural Sciences, Pusan National University of Technology, Pusan 608-739) ;
- Kim, Do-Sang (Department of Applied Mathematics, National Fisheries University of Pusan, Pusan 608-737) ;
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Lee, Byung-Soo
(Department of Mathematics, Kyungsung University, Pusan 608-736)
- Published : 1995.08.01
Abstract
Let X and Y be two normed spaces and D a nonempty convex subset of X. Let $T : X \ to L(X,Y)$ be a mapping, where L(X,Y) is the space of all continuous linear mappings from X into Y. And let $C : D \to 2^Y$ be a set-valued map such that for each $x \in D$, C(x) is a convex cone in Y such that Int $C(x) \neq 0 and C(x) \neq Y$, where Int denotes the interior.