Viện Toán học - VAST

Chuyên đề

Applications of Variational Analysis to Set Facility Location Problems

• Giảng viên: Tiến sĩ Nguyễn Mậu Nam, Department of Mathematics, The University of Texas Pan American, Hoa Kỳ
• Thời gian:    Ngày 26/07/2011, Sáng & Chiều
• Địa điểm:     Phòng 201, Viện Toán học

Chương trình 

09:00-10:00 Applications of Variational Analysis to Set Facility Location Problems: Problems Formulation

10:00-10:30 Nghỉ giải lao

10:30-11:30 Applications of Variational Analysis to Set Facility Location Problems: Tools of Variational Analysis (calculus rules cua minimal time functions va distance functions)

11:30-14:00 Ăn trưa & nghỉ trưa

14:00-15:00 Applications of Variational Analysis to Set Facility Location Problems: Optimality Conditions

15:00-15:30 Nghỉ giải lao

15:30-16:30 Applications of Variational Analysis to Set Facility Location Problems: Numerical Implementation

Đôi lời giới thiệu:

♣ Loạt bài giảng chuyên đề này được tổ chức trong khuôn khổ chương trình "Hợp tác nghiên cứu và đào tạo về Giải tích biến phân và Tối ưu hoá, định hướng ứng dụng trong một số ngành kỹ thuật" theo Nghị định thư Việt Nam-Hoa Kỳ.

♣ Tiến sĩ Nguyễn Mậu Nam đã bảo vệ luận án PhD tại Khoa Toán, Đại học Quốc gia Wayne, Detroit, Bang Michigan, Hoa Kỳ, dưới sự hướng dẫn của Giáo sư Boris S. Mordukhovich. Một số công trình nghiên cứu tiêu biểu:

1. Boris Mordukhovich, Nguyen Mau Nam, and Juan Salinas: Solving a generalized Heron problem by means of convex analysis, submitted to American Mathematical Monthly .

2. Nguyen Mau Nam and Bingwu Wang: Outer semicontinuity of subdifferential and normal cone mappings, submitted to Applicable Analysis.

3. Nguyen Mau Nam and Bingwu Wang: Metric regularity, tangential distances, and generalized differentiation in Banach spaces, to appear in Nonlinear Analysis .

4. Boris Mordukhovich and Nguyen Mau Nam: Subgradients of minimal time functions under minimal requirements, to appear in Journal of Convex Analysis (2011).

5. Boris Mordukhovich and Nguyen Mau Nam: Applications of variational analysis to a generalized Fermat - Torricelli problem, Journal of Optimization Theory and Applications 3 (2011), 431-454.

6. Nguyen Mau Nam: Coderivatives of normal cone mappings and applications to Lipschitzian stability, Nonlinear Analysis 73 (2010) 2271-2282.

7.   Rene Henrion, Boris Mordukhovich, and Nguyen Mau Nam Nam: Second-order analysis of polyhedron systems in finite and infinite dimensions with applications to robust stability of variational inequalities, SIAM Journal on Optimization 20 (2010), 2199-2227.

8.  Boris Mordukhovich and Nguyen Mau Nam. Limiting subgradients of minimal time functions in Banach spaces, Journal of Global Optimization 46 (2010) 615-633.

9.      Boris Mordukhovich, Nguyen Mau Nam, and Bingwu Wang: Metric regularity of mappings and generalized normals to set images. Journal of Set-Valued and Variational Analysis 17 (2009) 359-387.

10.      Boris Mordukhovich and Nguyen Mau Nam: Variational analysis of extended generalized equations via coderivative calculus in Asplund spaces. Journal of Mathematical Analysis and Applications 350 (2009), 663-679.

11.      Wondi Gemerew, Boris Mordukhovich, and Nguyen Mau Nam: Coderivative calculus and metric regularity for constraint and variational systems. Nonlinear Analysis 70 (2009), 529-552.

12.      Boris Mordukhovich, Nguyen Mau Nam, and Nguyen Dong Yen: Subgradients of marginal functions in parametric mathematical programming. Mathematical Programming 116 (2009), 396-369.

13.      Nguyen Mau Nam and Nguyen Dong Yen: Relationships between approximate Jacobians and coderivatives. Journal of Nonlinear and Convex Anal. 8 (2007), 121-133.

14.      Boris Mordukhovich and Nguyen Mau Nam:  Exact calculus for proximal subgradients with applications to optimization. ESAIM Proc. 17 (2007), 80-95.

15.     Boris Mordukhovich, Nguyen Mau Nam, and Nguyen Dong Yen:  Frechet subdifferential calculus and optimality conditions in nondifferentiable programming. Optimization 55 (2006), 685--708.

16.      Boris Mordukhovich and Nguyen Mau Nam: Subgradient of distance functions at out-of-set points. Taiwanese Journal of Mathematics 10 (2006), 299-326.

17.      Boris Mordukhovich and Nguyen Mau Nam: Subgradient of distance functions with applications to Lipschitzian stability. Mathematical  Programming 104 (2005), Ser. B., 635--668.

18.  Boris Mordukhovich and Nguyen Mau Nam: Variational stability and marginal functions via generalized differentiation. Mathematics Operation Research 30 (2005), 800--816.