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1

Solving a Generalized Heron Problem by Means of Convex Analysis

Boris S. Mordukhovich, Nguyen Mau Nam and Juan Salinas Jr.

Journal:

American Mathematical Monthly

Year:

2012

Language:

english

File:

PDF, 260 KB

english, 2012

2

Minimizing Differences of Convex Functions with Applications to Facility Location and Clustering

Nam, Nguyen Mau, Rector, R. Blake, Giles, Daniel

Journal:

Journal of Optimization Theory and Applications

Year:

2017

Language:

english

File:

PDF, 1.25 MB

english, 2017

3

An Easy Path to Convex Analysis and Applications

Mordukhovich, Boris S., Nam, Nguyen Mau

Journal:

Synthesis Lectures on Mathematics and Statistics

Year:

2013

Language:

english

File:

PDF, 1.17 MB

english, 2013

4

Limiting subgradients of minimal time functions in Banach spaces

Boris S. Mordukhovich, Nguyen Mau Nam

Journal:

Journal of Global Optimization

Year:

2010

Language:

english

File:

PDF, 271 KB

english, 2010

5

Ketoprofen encapsulated cucurbit[6]uril nanoparticles: a new exploration of macrocycles for drug delivery

To Hoai, Nguyen, Thi Dao, Phuong Tuyen, Phu, Quoc Nam, Le, Duy Dam, Nguyen, Tuan Anh, Nguyen, Tai Chi, Dang, Mau Chien

Journal:

Advances in Natural Sciences: Nanoscience and Nanotechnology

Year:

2012

Language:

english

File:

PDF, 1.13 MB

english, 2012

6

Variational Stability and Marginal Functions via Generalized Differentiation

Mordukhovich, Boris S., Nam, Nguyen Mau

Journal:

Mathematics of Operations Research

Year:

2005

Language:

english

File:

PDF, 241 KB

english, 2005

7

Exact calculus for proximal subgradients with applications to optimization

Mordukhovich, Boris S., Nam, Nguyen Mau, Piétrus, Alain, H., Michel

Journal:

ESAIM Proceedings

Year:

2007

Language:

english

File:

PDF, 245 KB

english, 2007

8

Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2010

Language:

english

File:

PDF, 346 KB

english, 2010

9

Variational analysis of extended generalized equations via coderivative calculus in Asplund spaces

Boris S. Mordukhovich, Nguyen Mau Nam

Journal:

Journal of Mathematical Analysis and Applications

Year:

2009

Language:

english

File:

PDF, 226 KB

english, 2009

10

Subgradient of distance functions with applications to Lipschitzian stability

Boris S. Mordukhovich, Nguyen Mau Nam

Journal:

Mathematical Programming

Year:

2005

Language:

english

File:

PDF, 294 KB

english, 2005

11

Applications of Variational Analysis to a Generalized Fermat-Torricelli Problem

Boris Mordukhovich, Nguyen Mau Nam

Journal:

Journal of Optimization Theory and Applications

Year:

2011

Language:

english

File:

PDF, 550 KB

english, 2011

12

Variational Analysis of Marginal Functions with Applications to Bilevel Programming

Boris S. Mordukhovich, Nguyen Mau Nam, Hung M. Phan

Journal:

Journal of Optimization Theory and Applications

Year:

2012

Language:

english

File:

PDF, 880 KB

english, 2012

13

Metric Regularity of Mappings and Generalized Normals to Set Images

Boris S. Mordukhovich, Nguyen Mau Nam, Bingwu Wang

Journal:

Set-Valued and Variational Analysis

Year:

2009

Language:

english

File:

PDF, 494 KB

english, 2009

14

Metric regularity, tangential distances and generalized differentiation in Banach spaces

Nguyen Mau Nam, Bingwu Wang

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2012

Language:

english

File:

PDF, 264 KB

english, 2012

15

Minimal Time Functions and the Smallest Intersecting Ball Problem with Unbounded Dynamics

Nam, Nguyen Mau, Villalobos, Maria Cristina, An, Nguyen Thai

Journal:

Journal of Optimization Theory and Applications

Year:

2012

Language:

english

File:

PDF, 712 KB

english, 2012

16

Second-Order Analysis of Polyhedral Systems in Finite and Infinite Dimensions with Applications to Robust Stability of Variational Inequalities

Henrion, René, Mordukhovich, Boris S., Nam, Nguyen Mau

Journal:

SIAM Journal on Optimization

Year:

2010

Language:

english

File:

PDF, 341 KB

english, 2010

17

Constructions of Solutions to Generalized Sylvester and Fermat–Torricelli Problems for Euclidean Balls

Nguyen Mau Nam, Nguyen Hoang, Nguyen Thai An

Journal:

Journal of Optimization Theory and Applications

Year:

2014

Language:

english

File:

PDF, 849 KB

english, 2014

18

Variational Analysis of Directional Minimal Time Functions and Applications to Location Problems

Nguyen Mau Nam, Constantin Zălinescu

Journal:

Set-Valued and Variational Analysis

Year:

2013

Language:

english

File:

PDF, 420 KB

english, 2013

19

The smallest enclosing ball problem and the smallest intersecting ball problem: existence and uniqueness of solutions

Boris Mordukhovich, Nguyen Mau Nam, Cristina Villalobos

Journal:

Optimization Letters

Year:

2013

Language:

english

File:

PDF, 166 KB

english, 2013

20

Lipschitz properties of nonsmooth functions and set-valued mappings via generalized differentiation

Nam, Nguyen Mau, Lafferriere, Gerardo

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2013

Language:

english

File:

PDF, 416 KB

english, 2013

21

Layered viscosity solutions of nonautonomous Hamilton–Jacobi equations: Semiconvexity and relations to characteristics

Nguyen, Hoang, Nguyen, Mau Nam

Journal:

Journal of Mathematical Analysis and Applications

Year:

2014

Language:

english

File:

PDF, 304 KB

english, 2014

22

A Unified Approach to Convex and Convexified Generalized Differentiation of Nonsmooth Functions and Set-Valued Mappings

Nam, Nguyen Mau, Hoang, Nguyen Dinh, Rector, R. Blake

Journal:

Vietnam Journal of Mathematics

Year:

2014

Language:

english

File:

PDF, 422 KB

english, 2014

23

Partial Second-Order Subdifferentials in Variational Analysis and Optimization

Mordukhovich, Boris S., Nam, Nguyen Mau, Yen Nhi, Nguyen Thi

Journal:

Numerical Functional Analysis and Optimization

Year:

2014

Language:

english

File:

PDF, 284 KB

english, 2014

24

Outer semicontinuity of subdifferential and normal cone mappings

Nam, Nguyen Mau, Wang, Bingwu

Journal:

Applicable Analysis

Year:

2012

Language:

english

File:

PDF, 231 KB

english, 2012

25

Applications of variational analysis to a generalized Heron problem

Mordukhovich, Boris S., Nam, Nguyen Mau, Salinas, Juan

Journal:

Applicable Analysis

Year:

2012

Language:

english

File:

PDF, 449 KB

english, 2012

26

Nonsmooth Algorithms and Nesterov's Smoothing Technique for Generalized Fermat--Torricelli Problems

Nam, Nguyen Mau, An, Nguyen Thai, Rector, R. Blake, Sun, Jie

Journal:

SIAM Journal on Optimization

Year:

2014

Language:

english

File:

PDF, 381 KB

english, 2014

27

Subdifferential formulas for a class of non-convex infimal convolutions

Nam, Nguyen Mau

Journal:

Year:

2014

Language:

english

File:

PDF, 155 KB

english, 2014

28

Directions for the measurement of the power factor of cables at power frequencies and at voltages up to 200 kV [Report (Ref. F/S4) of the British Electrical and Allied Industries Research Association]

Nam, Nguyen Mau

Journal:

Journal of the Institution of Electrical Engineers

Year:

1935

Language:

english

File:

PDF, 676 KB

english, 1935

29

On a convex set with nondifferentiable metric projection

Akmal, Shyan S., Nam, Nguyen Mau, Veerman, J. J. P.

Journal:

Optimization Letters

Year:

2015

Language:

english

File:

PDF, 290 KB

english, 2015

30

Generalized Differentiation and Characterizations for Differentiability of Infimal Convolutions

Nam, Nguyen Mau, Van Cuong, Dang

Journal:

Set-Valued and Variational Analysis

Year:

2015

Language:

english

File:

PDF, 391 KB

english, 2015

31

Geometric approach to convex subdifferential calculus

Mordukhovich, Boris S., Nam, Nguyen Mau

Journal:

Year:

2015

Language:

english

File:

PDF, 707 KB

english, 2015

32

The Log-Exponential Smoothing Technique and Nesterov’s Accelerated Gradient Method for Generalized Sylvester Problems

An, Nguyen Thai, Giles, Daniel, Nam, Nguyen Mau, Rector, R. Blake

Journal:

Journal of Optimization Theory and Applications

Year:

2016

Language:

english

File:

PDF, 836 KB

english, 2016

33

Variational Stability and Marginal Functions via Generalized Differentiation

Boris S. Mordukhovich and Nguyen Mau Nam

Journal:

Mathematics of Operations Research

Year:

2005

Language:

english

File:

PDF, 2.25 MB

english, 2005

34

Convergence analysis of a proximal point algorithm for minimizing differences of functions

An, Nguyen Thai, Nam, Nguyen Mau

Journal:

Year:

2017

Language:

english

File:

PDF, 1.62 MB

english, 2017

35

Extremality of convex sets with some applications

Mordukhovich, Boris S., Nam, Nguyen Mau

Journal:

Optimization Letters

Year:

2017

Language:

english

File:

PDF, 478 KB

english, 2017

36

Clustering and multifacility location with constraints via distance function penalty methods and dc programming

Nam, Nguyen Mau, An, Nguyen Thai, Reynolds, Sam, Tran, Tuyen

Journal:

Year:

2018

Language:

english

File:

PDF, 2.27 MB

english, 2018

37

Bornological Coderivative and Subdifferential Calculus in Smooth Banach Spaces

Nam, Nguyen Mau, Phan, Hung M., Wang, Bingwu

Journal:

Set-Valued and Variational Analysis

Year:

2019

Language:

english

File:

PDF, 647 KB

english, 2019

38

Quasi-relative interiors for graphs of convex set-valued mappings

Van Cuong, Dang, Mordukhovich, Boris S., Nam, Nguyen Mau

Journal:

Optimization Letters

Year:

2019

Language:

english

File:

PDF, 324 KB

english, 2019

39

Smoothing techniques and difference of convex functions algorithms for image reconstructions

Mau Nam, Nguyen, Hoai An, Le Thi, Giles, Daniel, Thai An, Nguyen

Journal:

Year:

2019

Language:

english

File:

PDF, 2.94 MB

english, 2019

40

Solving k-center problems involving sets based on optimization techniques

An, Nguyen Thai, Nam, Nguyen Mau, Qin, Xiaolong

Journal:

Journal of Global Optimization

Year:

2019

File:

PDF, 680 KB

2019

41

Solving a continuous multifacility location problem by DC algorithms

Bajaj, Anuj, Mordukhovich, Boris S., Nam, Nguyen Mau, Tran, Tuyen

Journal:

Optimization Methods and Software

Year:

2020

File:

PDF, 2.54 MB

2020

42

Preface

Khan, Akhtar A., Nguyen, Mau Nam, Tammer, Christiane, Truong, Bao

Journal:

Year:

2020

File:

PDF, 476 KB

2020

43

Algebraic core and convex calculus without topology

Van Cuong, Dang, Mordukhovich, Boris S., Mau Nam, Nguyen, Cartmell, Addison

Journal:

Year:

2020

File:

PDF, 1.98 MB

2020