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 setvalued mapping Alternative theorem Lagrange Duality 
CLC  O177.31 
Type  Master's thesis 
Year  2011 
Downloads  7 
Quotes  0 
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 FarkasMinkowski 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 .