Phép chiếu và áp dụng giải bài toán tìm nghiệm chung giữa ánh xạ không giãn và bài toán bất đẳng thức biến phân 3

INFORMATION PAGE OF MASTER THESIS Thesis title: THE PROJECTION AND THE APPLICATION TO THE PROBLEM OF FINDING A COMMON POINT OF A VARIATIONAL INEQUALITIES AND A FINITE SYSTEM OF NONEXPANSIVE MAPPINGS Major: Analysis Code: K39 Name of Master student: Tran Quang Huy Name of Scientific Supervisor: Dr Nguyen Duc Hien Educational Institution: The University of DaNang, University of Uducation Summary * Content of thesis: - Thesis presented the basic knowledge system about convex analysis to serve the research work - Thesis presented a systematic presentation of the variational inequalities problems and the relationship between other problems such as equilibrium problem, optimization problem, fixed point problem - Proposed one-time projection method to find approximate solution for equilibrium problem * Sciencetific and pratical meaning of thesis: - The thesis is based on a rich source of references including 13 references, of which 02 are in Vietnamese, along with the knowledge that has been presented and researched in a relatively complete and accurate manner carefully reflected the scientific basis of the topic - The content presented in the thesis, specifically through exercises and application examples, also partly highlights the research problem * The next research direction of thesis: - Expanding the study of solving two-level equilibrium problems - Extend this research direction to the problem of finding a common solution between the equilibrium problem and the finite family of Lipschitz-type continuous nonexpanding and unconditional mappings of bifunctions f Signature of Supervisor TS Nguyen Duc Hien Researcher Tran Quang Huy