| 摘要 | 第1-6页 |
| Abstract | 第6-10页 |
| Chapter 1 Preface | 第10-20页 |
| ·中文引言 | 第10-14页 |
| ·变分不等式理论的发展概况 | 第10-11页 |
| ·本文的研究动机 | 第11-12页 |
| ·本文工作概述 | 第12-14页 |
| ·Preface | 第14-20页 |
| ·The Background of Variational Inequality Theory | 第14-15页 |
| ·Research Motivation | 第15-16页 |
| ·Main Work Summary | 第16-20页 |
| Chapter 2 Fundamental Concepts and Fundamental Theory | 第20-23页 |
| ·Basic Concepts | 第20-22页 |
| ·Fundamental Theory | 第22-23页 |
| Chapter 3 Iterative Algorithms for Completely Generalized Quasi-variational-like Inclusions in Banach Spaces | 第23-36页 |
| ·Introduction | 第23页 |
| ·Preliminaries | 第23-27页 |
| ·Iterative Algorithms | 第27-29页 |
| ·Convergence Criteria | 第29-36页 |
| Chapter 4 Viscosity Approximation Methods for Variational Inequalities with Weakly Contractive Mappings | 第36-51页 |
| ·Viscosity Approximation Methods with Weakly Contractive Mappings for Nonexpansive Mappings | 第36-44页 |
| ·Introduction and Preliminaries | 第36-39页 |
| ·Main Results | 第39-44页 |
| ·Cesàro Means for Non-expansive Mappings and Weakly Contractive Mappings | 第44-51页 |
| ·Introduction | 第44-45页 |
| ·Preliminaries | 第45-46页 |
| ·Implicit Viscosity Sequence | 第46-51页 |
| Chapter 5 Auxiliary Variational Principle and Algorithm for A System of Completely Generalized Strongly Nonlinear Mixed Variational-like Inequalities | 第51-64页 |
| ·Introduction | 第51页 |
| ·Preliminaries | 第51-55页 |
| ·Auxiliary Problems and Algorithm | 第55-58页 |
| ·Existence and Convergence Theorem | 第58-64页 |
| Chapter 6 Iterative Algorithms for Multi-valued Nonlinear Variational Inclusion Problems with Generalized Accretive Mappings | 第64-80页 |
| ·A System of Multi-valued Variational Inclusions with(H:η)-accretive Operators in Banach Spaces | 第64-72页 |
| ·Introduction and Preliminaries | 第64-67页 |
| ·Variational Inclusion Problems | 第67-68页 |
| ·Convergence Theorem | 第68-72页 |
| ·Generalized(A,η)-accretive Mappings and Applications to Multi-valued Nonlinear Variational Inclusion Problems | 第72-80页 |
| ·Introduction | 第72页 |
| ·Preliminaries | 第72-77页 |
| ·Proximal Point Algorithm and Convergence | 第77-80页 |
| References | 第80-87页 |
| 致谢 | 第87-89页 |
| 答辩决议 | 第89-90页 |
| 攻读博士期间发表和未发表的论文 | 第90页 |
