Dissertation > Excellent graduate degree dissertation topics show

Set the value of the generalized vector variational inequality problem of

Author: YuZuo
Tutor: XiaZunZuo
School: Dalian University of Technology
Course: Operational Research and Cybernetics
Keywords: Generalized Vector inequality Hausdorff topological vector space KKM-Fan Theorem Lower semi-continuous Monotonic Gap function
CLC: O178
Type: Master's thesis
Year: 2011
Downloads: 44
Quote: 0
Read: Download Dissertation

Abstract


Set-valued Mapping Generalized Vector Variational not equal (GVVTI) is an important promotion variational inequalities form , is the study of multi-objective planning, balance problems and other areas of mathematics and engineering issues important theoretical basis for medium and tools of this issue research involving set-valued analysis, convex analysis , linear and nonlinear analysis, nonsmooth analysis , functional analysis , etc., have important academic value. This paper mainly studied theoretically Hausdorff topological vector space valued mapping a class of generalized vector variational inequality problem of existence of solutions by adding the lower semi-continuous , C- monotone and other conditions , the use of classical KKM-Fan Theorem its equivalent existence problems for proof that this conclusion also unify and generalize many existing vector variational inequality existence issues. In solving variational inequalities , we often put a variational inequality problem is transformed into an optimization problem by solving the optimization problem so as to achieve the purpose of solving variational inequalities , while Gap function in this transformation process has played a crucial role. Gap functions were originally used in optimization problems and has been a series of good application , but the Gap function applied to the variational inequality problem developed in recent years is still a trend . Therefore, this paper proposed Hausdorff topological vector space valued generalized vector variational inequality model defines Gap function , and gives such a set-valued Generalized Vector Variational Inequalities exist necessary and sufficient conditions .

Related Dissertations

  1. Problem Solving Generalized Geometric Programming Two global optimization methods,O224
  2. Multiprocessor rate monotonic scheduling algorithm,TP332
  3. Based on non- monotonic utility function of the mean - Construction and analysis of variance model,F224
  4. Filter Trust Region Algorithms and Multiplier Algorithms for Nonlinear Bilevel Programs,O221.2
  5. ARM - based dynamic pressure records the research and development of the analyzer,TH812
  6. A Study on the Efficiency of Urban Domestic Waste Charge System,F299.24
  7. Some Complete Monotonicity Properties of the Gamma and Psi Functions with Applications,O178
  8. Levitin-polyak Well-posedness of Vector Equilibrium Problems,O224
  9. Levitin-polyak Well-posedness in Generalized Quasivariational-like Inequality Problems,O178
  10. Hot-rolled Steel Combination Wall Shear Capacity Analysis,TU392.1
  11. Projection data based non- monotonic variation restore full low-dose CT reconstruction,TP391.41
  12. On the Stability of Attractors,O411
  13. A class of nilpotent saddle point hyperelliptic Hamilton system polynomial perturbations of Abel Integral Studies,O175.12
  14. Complete Monotonicity and Strongly Complete Monotonicity Properties for the Gamma and Psi Functions,O174.66
  15. The Study on Integrate Performance and Collapse Performance of CS Panel Building Structure,TU317
  16. Stability of Solutions for Vector Equilibrium Problems,O189.11
  17. About the gamma function and the Barnes G- function completely monotone nature and inequality,O178
  18. Trust-region Algorithm for Nonlinear Programming,O221.2
  19. Inequalities and Complete Monotonicity Properties for Some Special Functions,O178
  20. Study on Exact Penalty Methods and Quasi-newton Methods with Application to Nonlinear Optimization Problems,O221.2
  21. Research on Sparse Quasi-Newton Method and Its Application,O242.23

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Inequality and other
© 2012 www.DissertationTopic.Net  Mobile