Dissertation > Excellent graduate degree dissertation topics show

Abstract vector space extremum Optimality conditions and Lagrange Duality

Author: WangChuanTao
Tutor: LiZeMin
School: Chongqing University
Course: Computational Mathematics
Keywords: Alternative theorem Optimality conditions SCALARIZATION Saddle point Duality
CLC: O177.3
Type: Master's thesis
Year: 2007
Downloads: 50
Quote: 2
Read: Download Dissertation

Abstract


This paper discusses the problem of infinite dimensional vector extreme number of issues . In locally convex linear topological space , the use of relative interior , the definition of (v, OY; U) generalized subconvexlike mapping concepts and discuss some of its properties , the establishment of alternative theorem this map . Using this theorem in locally convex linear topological space obtained with generalized inequality constraints Vector Extremum Problems optimality conditions . In order linear space , using the literature [ 62 ] definition of generalized convexity and have come to the alternative theorem obtained generalized linear spaces with inequality constraints Vector Extremum Problems optimality conditions . Linear space in order to obtain a vector-valued optimization problems scalarization results and prove the existence theorem Lagrangian multipliers . Then, in order to introduce the linear space FJ saddle point , KT saddle point , discuss them with inequality constraints with Generalized Vector Extremum Problems relationship between weakly efficient solution . On this basis , given the magnitude of the vector-valued optimization problems Lagrange Duality , including the weak duality theorem, strong duality theorem and converse duality theorems .

Related Dissertations

  1. The Relationship between the Civil Official Groups and the Imperial Power in the Early Ming Dynasty,K248
  2. Study on the Impact of the Digital Movie on the Audience,J905
  3. Riemannian manifold optimality conditions for nonsmooth optimization studies,O186.12
  4. Information Geometry and Applications,O186.12
  5. Study of the Properties of the One-dimensional Single-edged Contact Process,O211.6
  6. Invariant under the generalized convexity multiobjective programming problem Optimality and Duality,O221.6
  7. The Theory on Logical Category of Marx,B81-06
  8. Russia and its impact on mental duality affect trade between nations,F755.12
  9. Multiplicity Results for Some Discrete Systems Near Resonance with a Nonprincipal Eigenvalue,O177.91
  10. Multiplicity of Solutions for Plane Discrete Systems at Resonance,O177.91
  11. Study on Specification Design of form Tolerance Based on New GPS,TN967.1
  12. Set function Minimax Fractional Optimality and duality theory,O221.6
  13. Optimality Conditions and Duality for Multiobjective Optimization,O174.13
  14. Einstein’s Thought Science and Technology Ethics Study,N02
  15. Electricity Distribution Model and Numerical Methods Based on Robust Optimization Methods,TM743
  16. On Evaluation of Uncertainty Based on Duality Theory,TG80
  17. Mendelssohn Piano Works of Diversity,J624.1
  18. The Research on the Modeling Method of Non-linear Transient Model for Transformer,TM401
  19. Optimality Conditions and Duality for Multiobjective Programming under Generalized Type I Functions,O221.6
  20. The Optimality Conditions and Mixed Type Duality for Generalized Convex Multi-Objective Programming Problems,O221.6
  21. Analysis on the Problems and Countermeasures of Consumption and Industrial Structure in Shanxi Province,F121.3

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis > The theory of the linear space ( vector space )
© 2012 www.DissertationTopic.Net  Mobile