Dissertation > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis > The theory of the linear space ( vector space ) > Topological linear space

Study of a Class Vector Extremum Problems

Author YangRui
Tutor ZhuJianQing
School Suzhou Institute of Technology
Course Basic mathematics
Keywords Generalized Subconvexlike mapping Generalized Subconvexlike set-valued mapping Alternative theorem Lagrange Duality
CLC O177.31
Type Master's thesis
Year 2011
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This article focuses on the optimization problem in locally convex Hausdorff topological vector spaces and ordered linear space . The text is divided into four chapters , the first chapter gives the background and the main research content . The second chapter introduced used some definitions , lemmas and knowledge . In the next two chapters , we give the main results of this paper : ( y , O_Z , discussed in locally convex Hausdorff topological vector space ; U_ ) - the generalized subconvexlike mapping with constraints under Vector Extremum the problems necessary and sufficient conditions for weakly efficient solutions ; ordered linear space , we define ( y , O_Z , ; U_ ) - generalized value mapping subconvexlike Set got J : D → 2U (y, O_Z ; U_) - equivalent definition similar set - valued generalized times to prove the Farkas-Minkowski type alternative theorem , and apply the theorem optimality conditions optimization problem , and at the same time has been in (y , O_Z; U_) - generalized like set - valued Lagrange duality theorem .

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