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Awards

Early Career Travel Award, BAO TRUONG

Elementary Education Curriculum Map, BAO TRUONG

Graduate Student Publication & Presentation Grant, BAO TRUONG

Book Sections/Chapters

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A projection-type algorithm for pseudo-monotone non-Lipschitzian multivalued variational inequalities, Truong Q. Bao and Phan Q. Khanh

Conference Papers in Published Proceedings

On the structure of evidential gluts and gaps, Don Faust

On a nonconvex separation theorem and the approximate extremal principle in Asplund spaces., Bao Q. Truong

Subdifferential necessary conditions for extremal solutions to set-valued optimization problems with equilibrium constraints, Bao Q. Truong

Sufficient conditions for global weak Pareto solutions in multiobjective optimization, Bao Q. Truong and Boris Q. Mordukhovich

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Extended Pareto Optimality in Multiobjective Problem, Bao Q. Truong and Boris S. Mordukhovich

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Subdifferential necessary conditions for extremal solutions to set-valued optimization problems with equilibrium constraints, Bao Q. Truong and Boris S. Mordukhovich

To dual-space theory of set-valued optimization, Bao Q. Truong and Boris S. Mordukhovich

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Lagrange necessary conditions for Pareto minimizers in Asplund spaces and applications, Bao Q. Truong and Christiane Tammer

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Multistage hierarchical optimization problems with multi-criterion objectives, Bao Q. Truong, Roxin Zhang, and Quinghong Zhang

Generalized (alpha,beta,gamma,eta,rho,theta)-Invex Functions in Semiinfinite Fractional Programming, Part II : First-Order Duality Models, G J. Zalmai

Generalized (alpha,beta,gamma,eta,rho,theta)-Invex Functions in Semiinfinite Fractional Programming, Part III : Second-Order Duality Models, G J. Zalmai

Generalized (alpha,beta,gamma,eta,rho,theta)-Invex Functions in Semiinfinite Fractional Programming, Part I : Sufficient Optimality Conditions, G J. Zalmai

Generalized Second-Order (F,beta,phi,rho,theta)-Univex Functions and Duality Models in Semiinfinite Fractional Programming, G J. Zalmai

Generalized Second-Order (F,beta,phi,rho,theta)-Univex Functions and Parametric Duality Models in Semiinfinite Discrete Minmax Fractional Programming, G J. Zalmai

Hanson-Antczak-Type Generalized (alpha,beta,gamma,eta,rho,theta)-Invex Functions in Nondifferentiable Multiobjective Programming, Part II : First-Order Parametric Duality Models, G J. Zalmai

Hanson-Antczak-Type Generalized (alpha,beta,gamma,eta,rho,theta)-Invex Functions in Nondifferentiable Multiobjective Programming, Part III : Second-Order Parametric Duality Models, G J. Zalmai

Hanson-Antczak-Type Generalized (alpha,beta,gamma,eta,rho,theta)-Invex Functions in Nondifferentiable Multiobjective Programming, Part I : Necessary and Sufficient Efficiency Conditions, G J. Zalmai

Hanson-Antczak-Type Generalized (alpha,beta,gamma,eta,rho,theta)-Invex Functions in Nondifferentiable Multiobjective Programming, Part IV : Higher-Order Parametric Duality Models, G J. Zalmai

Hanson-Antczak-Type Generalized (alpha,beta,gamma,xi,eta,rho,theta)-V-Invex Functions in Semiinfinite Multiobjective Fractional Programming, Part II : First-Order Parametric Duality Models, G J. Zalmai

Hanson-Antczak-Type Generalized (alpha,beta,gamma,xi,eta,rho,theta)-V-Invex Functions in Semiinfinite Multiobjective Fractional Programming, Part III : Second-Order Parametric Duality Models, G J. Zalmai

Hanson-Antczak-Type Generalized (alpha,beta,gamma,xi,eta,rho,theta)-V-Invex Functions in Semiinfinite Multiobjective Fractional Programming, Part I : Sufficient Efficiency Conditions, G J. Zalmai

Hanson-Antczak-Type Generalized Invex Functions in Semiinfinite Minmax Fractional Programming, Part II : First-Order Parametric Duality Models, G J. Zalmai

Hanson-Antczak-Type Generalized Invex Functions in Semiinfinite Minmax Fractional Programming, Part III : Second-Order Parametric Duality Models, G J. Zalmai

Hanson-Antczak-Type Generalized Invex Functions in Semiinfinite Minmax Fractional Programming, Part I : Sufficient Optimality Conditions, G J. Zalmai

Second-Order Parameter-Free Duality Models in Semiinfinite Minmax Fractional Programming, G J. Zalmai

Second-Order Univex Functions and Generalized Duality Models for Multiobjective Programming Problems Containing Arbitrary Norms, G J. Zalmai

Semiinfinite Multiobjective Fractional Programming Problems Involving Hadamard Directionally Differentiable Functions, Part II : First-Order Parametric Duality Models, G J. Zalmai

Semiinfinite Multiobjective Fractional Programming Problems Involving Hadamard Directionally Differentiable Functions, Part I : Sufficient Efficiency Conditions, G J. Zalmai

Global Parametric Sufficient Efficiency Conditions for Semiinfinite Multiobjective Fractional Programming Problems Containing Generalized (alpha,eta,rho)-V-Invex Functions, G J. Zalmai and Qinghong Zhang

Necessary Efficiency Conditions for Semiinfinite Mulitobjective Optimization Problems Involving Hadamard Directionally Differentiable Functions, G J. Zalmai and Qinghong Zhang

Optimality Conditions and Duality Models for Continuous Minmax Fractional Programming Problems Containing Generalized (F,b,phi,rho,theta)-Univex Functions and Arbitrary Norms, Part II : First-Order Duality Models, G J. Zalmai and Qinghong Zhang

Optimality Conditions and Duality Models for Continuous Minmax Fractional Programming Problems Containing Generalized (F,b,phi,rho,theta)-Univex Functions and Arbitrary Norms, Part III : Second-Order Duality Models, G J. Zalmai and Qinghong Zhang

Optimality Conditions and Duality Models for Continuous Minmax Fractional Programming Problems Containing Generalized (F,b,phi,rho,theta)-Univex Functions and Arbitrary Norms, Part I : Necessary and Sufficient Optimality Conditions, G J. Zalmai and Qinghong Zhang

Parametric Duality Models for Semiinfinite Multiobjective Fractional Programming Problems Containing Generalized (alpha,eta,rho)-V-Invex Functions, G J. Zalmai and Qinghong Zhang

Determining weights for multi-objective optimization in posture prediction, Qinghong Zhang

Self-Dual Embedding for SDP Using ELSD and its Lagrangian Dual, Qinghong Zhang

Conference Presentations

Is Software Bloated: A Synthesis of Two Studies, Randy Appleton

Security in Linux: what to do and what to avoid, Randy Appleton

A visual application of reasoning and proof for the mathematics classroom, Carol Bell

Information Technology at Home and School: Access and Usage by Native, Carol Bell

The Role of Online Communities in Developing Students’ Understanding of Proof, Carol Bell

Using Functions to Create Pictures in Excel, Carol Bell

Visualizing and Representing Number Patterns, Carol Bell

En(light)ening Volume, David Buhl

Fractal Dimension: A Classroom Activity, David Buhl

Searching for Patterns, David Buhl

Using Snag It Software to Create Instructional.avi for the Classroom, David Buhl

A logic for handling conflicting evidential knowledge, Don Faust

Evidential Frameworks and Belief Systems, Don Faust

Explorationism, Evidence Logic, and the Question of the Non-necessity of All Belief Systems, Don Faust

Hanf's 'isomorphism of theories' and the concept of evidence, Don Faust

Questions in the Foundations of Mathematics which are as yet Unanswered and the Importance of Teaching About Them, Don Faust

Truth in mathematics and the broader society, Don Faust

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How does “collaboration” occur at all? Remarks on epistemological issues related to understanding / working with ‘the other’, Don Faust and Judith Puncochar

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Virtual Exosuit with Haptic Feedback, Mark Haara, Vivian Stark, Dallas Johnson, Jeff Horn, and Mounia Ziat

A Taxonomy And Some Analyses of Coevolution Algorithms, Jeffrey Horn

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Minimum Richness Equilibrium and Sudoku, Jeffrey Horn

Optimal Nesting of Species for Exact Cover: Many Against Many, Jeffrey Horn

Making Connections: Linking Concepts and Context, Peggy House

Classification of a Class of Counting Problems using Holographic Reductions, Michael Kowalczyk

Let Photography Revitalize Your Birding, J.D. Phillips

Developing Probability Concepts through Activities & Supporting Mathematical Communication with Mathematics Teaching in the Middle School, Stephen P Smith

Elementary mathematics methods courses: Dealing with the mismatch between theory and practice., Stephen P Smith

Extended Pareto optimality in multiobjective optimization, BAO TRUONG

Lagrange necessary conditions for Pareto minimizers and applications to mathematical finance, BAO TRUONG

Lagrange necessary conditions for Pareto minimizers in Asplund spaces and applications, BAO TRUONG

Necessary conditions for multiobjective optimization with preferences, BAO TRUONG

Necessary conditions for optimal solutions in constrained multiobjective optimization, BAO TRUONG

Necessary conditions for Pareto minimal points in Asplund spaces and applications to mathematical finance, BAO TRUONG

Set-valued optimization in welfare economics, BAO TRUONG

Some Applications of Mordukhovich Coderivative for Set-Valued Mappings to Multiobjective Optimization, BAO TRUONG

Some relationships between set-valued optimization and welfare economics, BAO TRUONG

Subdifferential necessary conditions for generalized-order optimal solutions in constrained set-valued optimization, BAO TRUONG

The Fermat rule for Set-Valued Mappings in Banach Spaces, BAO TRUONG

Linear programming over cones, Qinghong Zhang

Strong duality and embedding methods for semidefinite programming, Qinghong Zhang

The minimal cone for conic linear programming, Qinghong Zhang

Theorems of the alternative for semidefinite system, Qinghong Zhang

Understanding linear semi-infinite programming via linear programming over cones, Qinghong Zhang

Journal Articles

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Some algorithms for solving mixed variational inequalities, Truong Q. Bao and Phan Q. Khanh

Some algorithms for solving mixed variational inequalities, Truong Q. Bao and Phan Q. Khanh

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Are several recent generalizations of Ekeland’s variational principle more general than the original principle?, Truong Q. Bao and Phan Q. Khanh

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Necessary conditions for multiobjective optimization with equilibrium constraints, Truong Q. Bao, Boris S. Mordukhovich, and P. Gupta

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Suboptimality conditions in mathematical programs with equilibrium constraints., Truong Q. Bao, Boris S. Mordukhovich, and Pankaj Gupta

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Cold Hard Fractals, David Buhl and Sam Morey

The Moufang Laws, Global and Local, J D. Phillips

Various Subsemiring of the Field Q of Rational Numbers, J D. Phillips, V Kala, and M Korbelar

F-quasigroups Isotropic to Groups, J D. Phillips and T Kepka

Right Product Quasigroups and Loops, J D. Phillips, A Krapez, and M K. Kinyon

Cheban Loops, J D. Phillips and V Shcherbacov

Automated Theorem Proving in Quasigroup and Loop Theory, J D. Phillips and D Stanovsky

Bruck Loops with Abelian Inner Mapping Groups, J D. Phillips and D Stanovsky

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Existence of minimizers and necessary conditions for set-valued optimization with equilibrium constraints., Bao Q. Truong and Boris Q. Mordukhovich

Variational principles for set-valued mappings with applications to multiobjective optimization, Bao Q. Truong and Boris Q. Mordukhovich

Other

Preface: Phan Quoc Khanh, Special Issue on Optimization and Variational Analysis Honoring His 65th Birthday, Bao Q. Truong, Boris S. Mordukhovich, and Dinh The Luc