1. Full name: Dang Xuan Son                                                     2. Sex: Male

3. Date of birth: 27/12/1981                                            4. Place of birth: Hai Phong

5. Admission decision number:  5718/QĐ-ĐHKHTN on December 19, 2014 by the Rector of  the  VNU University of Science.

6. Changes in academic process: Non.

7. Official thesis title: Solution methods for generalized split feasibility problems related with equilibrium problems.

8. Major: Mathematical Analysis                                          9. Code: 62460102

10. Supervisors: Prof. DSc. Le Dung Muu  

                        Prof. DSc. Pham Ky Anh  

11. Summary of the new findings of the thesis

Establishing a new iterative scheme for finding a common element of the set of fixed points of a finite family of strict pseudocontractions and the solution set of pseudomonotone and Lipschitz-type continuous equilibrium problems.

Proposing a new method for solving variational inequalities over the common solution set to a variational inequality problem and a fixed point problem involving demicontractive mappings.

Proposing parallel algorithm for solving a class of variational inequalities over the set of common fixed points for a finite family of demicontractive mappings.

Proposing a new algorithm for generalized split feasibility problems related with equilibrium problems and fixed point problems.

Proposing a new algorithm for minimizing the distance function under the solution set of a split equilibrium problem.

12. Paratical applicability, if any: Applying some models in economics, image processing, radiotherapy, electricity production problem with environmental indicators…

13. Further research directions, if any: Study new tools to access broader problem-solving classes, present practical models with numerical examples, evaluate the convergence speed of algorithms…

14. Thesis-related publications:

[1] Anh P.N., Son D.X. (2011), "A new method for a finite family of pseudocontractions and equilibrium problems", Journal of Applied Mathematics and
Informatics., 29, pp. 1179-1191 (SCOPUS).

 [2] Dinh B.V., Son D.X., Anh T.V. (2017), "Extragradient-Proximal Methods for
Split Equilibrium and Fixed Point Problems in Hilbert Spaces", Vietnam J.
Math., 45 (4), pp. 651-668 (SCOPUS).

 [3] Son D.X. (2018), "An algorithm for solving a class of bilevel split problems
involving pseudomonotone equilibrium problem", Afrika Matematika. DOI
:10.1007/s13370-018-0614-0 (SCOPUS).

 [4] Hieu D.V., Son D.X., Anh P.K., Muu L.D. (2018), "A two-step extragradientviscosity method for variational inequalities and fixed point problems", Acta Math Vietnam. DOI: 10.1007/s40306-018-0290-z (SCOPUS).

 [5] Muu L.D., Anh T.V., Son D.X. (2018), "Parallel algorithms for solving a
class of variational inequalities over the common fixed points set of a finite family of demicontractive mappings", Numer. Funct. Anal. Optim. DOI:
10.1080/01630563.2018.1485695 (SCIE).