| The Alternative Property and Vector Optimization Problem in Ordered Locally Convex Topological Vector Spaces |
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| 作者姓名： | WANG Qi |
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| 作者单位： | WANG Qi Department of Mathematics and Physics，Wuyi University，Jiangmen 529042 |
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| 摘 要： | ＴｈｅＡｌｔｅｒｎａｔｉｖｅＰｒｏｐｅｒｔｙａｎｄＶｅｃｔｏｒＯｐｔｉｍｉｚａｔｉｏｎＰｒｏｂｌｅｍｉｎＯｒｄｅｒｅｄＬｏｃａｌｙＣｏｎｖｅｘＴｏｐｏｌｏｇｉｃａｌＶｅｃｔｏｒＳｐａｃｅｓＷＡＮＧＱｉＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓａｎ...
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The Alternative Property and Vector Optimization Problem in Ordered Locally Convex Topological Vector Spaces |
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| WANG Qi.The Alternative Property and Vector Optimization Problem in Ordered Locally Convex Topological Vector Spaces[J].Journal of Systems Science and Systems Engineering,1997(3). |
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| Authors: | WANG Qi |
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| Institution: | WANG Qi Department of Mathematics and Physics,Wuyi University,Jiangmen 529042 |
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| Abstract: | In this paper, the theorem of the alternative based on separation functions in ordered locally convex topological vector spaces has been established by using the concept on set valued mappings. The optimality conditions in ref. for D convex function have been generalized to ordered locally convex topological vector space and the similarly optimality conditions for D subconvexlike functions, such as the necessary and sufficient conditions of nondominated solutions, the generalized saddle point theorems and the lagrange duality theorems, have been obtained. |
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| Keywords: | weak separation function strong separation function the theorem of the alternative D subconvexlike function nondominated solution generalized saddle point |
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