THE CONVEX VECTOR PROGRAMMING ON AN ORDER COMPLETE ORDERED TOPOLOGICAL VECTOR SPACE.

Citation:

Wang Susheng.THE CONVEX VECTOR PROGRAMMING ON AN ORDER COMPLETE ORDERED TOPOLOGICAL VECTOR SPACE.[J].Chinese Annals of Mathematics B,1986,7(1):111~123
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Authors:

Wang Susheng;
Abstract: This paper first gives several basic theorems, including some equivalent forms of Hahn-Bannach Theorem on an order complete ordered vector space and an order complete ordered topological vector sapce. Then, with these results, we can conveniently discuss the problems of general convex vector programming. In special cases, we give the corresponding results of Rockafellar Problem and Kuhn-Tucker's problem.

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