Dissertation > Excellent graduate degree dissertation topics show

Variational-Like Inequalities and Equilibrium Problems

Author: LiLinZuo
Tutor: DingXiePing
School: Sichuan Normal University
Course: Basic mathematics
Keywords: Variational inequality Extragradient Mann iterative algorithm Convergence A family of set-valued mappings Fixed-point theorem of set-valued mappings System of generalized vector quasi-equibrium problems Product G-convex space
CLC: O177
Type: Master's thesis
Year: 2006
Downloads: 63
Quote: 0
Read: Download Dissertation

Abstract


This paper mainly further studies several focus problems in nonlinear functional analysis unifies and generalizes some known results in recent literature.At first , a new extragradient iterative algorithm for solving the variational inequality problem on Rn is suggested. By using Mann iterative scheme, new searching direction and better step-size rule, the algorithm is different from any one in existing projection-type methods. Under a certain generalized monotonity condition, the global convergence of the iterative sequence generated by the new algorithm is proved.Next, we introduce some new systems of abstract generalized vector quasi-equilibrium problem in G-convex space. By applying the fixed point theorem of set-valued mappings of nocompact product G-convex space, some new existence theorems of system of generalized vector quasi-equibrium problems are proved, and this results extend the applictions of the fixed point theorem.

Related Dissertations

  1. Dilemma and Way Out of TV Media in Media Convergence Abstract,G206
  2. Fans Cultural Effects in Television Broadcasting,G223
  3. The Discussed on the Zeros and Except Values of Complex Differences Functions,O174.5
  4. TD-SCDMA and WLAN Network Convergence Technology Research,TN929.5
  5. Uniform Positioning Capabilities Engine Design and Implementation,TP311.52
  6. The Existence of Positive Solutions of a Class of Fourth-order Nonlinear Differential Equations,O175
  7. Strong Convergence Theorems for Variational Inequalities Problem and Some Relative Researches,O178
  8. Several Iterative methods and Strong Convergence Theorems for Equilibrium Problems,O177.2
  9. The Web 2.0 Era: How Newspapers Deal with the Challenges of New Media,G206
  10. The Second Order Dissipative Difference Scheme for the CAHN-ALLEN Equation with NEUMANN Boundary Condition,O175.8
  11. Research on Hierarchy and Convergence of Shanghai Junior and Senior Biology Teaching Materials,G633.91
  12. The Breakthrough of the Network Convergence,G211
  13. Foundations of the Statistical Learning Theory with Samples Corrupted by Equality-expected Noise on Quasi-probability Spaces,O211
  14. Asymptotic Properties of Several Classes of Nonlinear Differential Equations,O175.12
  15. Smoothing Newton Method for Nonlinear Programming Problem and SQP-Filter Method for Constrained Minimax Problem,O221.2
  16. The Improvement of Nonlinear Conjugate Gradient Methods,O224
  17. On the Boltzmann Equation: Entropy and Convergence to Equilibrium,O236
  18. An Inexact Extragradient Method for Variational Ineqaulity,O221
  19. Study on Vector Equilibrium Problems,O177
  20. The Solutions of a Fuzzy Relation Equation in a Complete Brouwer Lattice and the Problem on the Number of Transitive Relations,O159
  21. A Factorized Banded Inverse Preconditioner for Toeplitz Matrices,O151.21

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