Uncertainty
Quantification in Variational
Inequalities. Theory,
Numerics, and Applications,
Baasansuren Jadamba, Akhtar A. Khan,
Fabio Raciti, CRC Press, 2019 (in
progress).

Introduction
to Set-Valued Optimization,
Akhtar A. Khan, Christiane Tammer,
Constantin Zalinescu, Springer, 2014,
765 pages.

Edited Books:

Variational
Analysis and Set Optimization.
Akhtar A. Khan, Elisabeth Koebis, and
Christiane Tammer, Taylor &
Francis, 2019.

Nonlinear
Analysis and Variational Problems,
Panos Pardalos, Themistocles M.
Rassias, Akhtar A. Khan, Springer,
2009.

Edited Journals
Special Issues:

Variational
Analysis and Nonsmooth
Optimization. Special
issue of the international
journal "Optimization"
dedicated to the 70th birthday
of Prof. Dr. Boris
Mordukhovich. Editors:
Akhtar Khan, Mau Nam Nguyen,
Christiane Tammer, Bao
Troung, 2019.

Biomechanical
constitutive model
identification. Special
issue of the international
journal "Mathematical Problems in
Engineering", Hindawi
Publications. Editors:
Guillermo Rus, Akhtar A. Khan,
Juan Melchor, Marie Muller.
2019.

Set-Valued
Optimization and Variational
Analysis. Special issue
of the international journal
"Optimization" dedicated to
the 65th birthday of Prof. Dr.
Johannes Jahn. Editors:
Gabriele Eichfelder, Akhtar
Khan, Andreas Lohne,
Christiane Tammer, 2018.

Variational
Analysis and Nonsmooth
Optimization.
Special issue of the
international journal
"Optimization" dedicated to
the memory of Jonathan Michael
Borwein. Editors: Regina
Burachik, Akhtar Khan,
Christiane Tammer, Doug
Ward, 2018.

Deterministic
and Stochastic Variational
Principles and Applications.
Special issue of the
international journal "Journal
of Optimization Theory and
Applications". Editors:
Wilfried Grecksch, Akhtar A.
Khan, Hannelore Lisei,
and Christiane Tammer,
Springer, 2015.

Research Papers

B. Jadamba, A. A.
Khan, and M. Sama, Stable Conical
Regularization by Constructible
Dilating Cones with an Application
to Lp-Constrained Optimization
Problems (revised version under
review), 2018.

L. Huerga, A. A. Khan,
M. Sama, A Henig Conical
Regularization Approach for
Circumventing the Slater Conundrum
in Linearly lp-Constrained Least
Squares (under review), 2018.

A. A. Khan, S.
Migorski, and M. Sama, Inverse
Problems for Multi-Valued Quasi
Variational Inequalities and
Noncoercvie Variational Inequalities
With Noisy Data, (under review),
2018.

N. Hebestreit, A. A.
Khan, E. Koebis, and C. Tammer,
Existence Theorems and
Regularization Methods for
Non-Coercive Vector Variational and
Vector Quasi-Variational
Inequalities, (under review), 2018.

B. Jadamba, A. A.
Khan, R. Lopez, and M. Sama, Conical
Regularization for Multi-Objective
Optimization Problems, (under
review), 2018.

C. Clason, A. A. Khan,
M. Sama, and C. Tammer, Contingent
Derivatives and Regularization for
Noncoercive Inverse Problems. DOI:
10.1080/02331934.2018.1442448.

D. N. Hao, A. A. Khan,
M. Sama, and C. Tammer, Inverse
Problems in Variational Inequalities
by Minimizing Energy. Accepted (at
press, 2018).

B. Jadamba, A. A.
Khan, R. Kahler, and M. Sama,
Elliptic Inverse Problems of
Identifying Nonlinear Parameters,
Pure and Applied Functional
Analysis, 3, 309--326 2018.

M. Cho, A. A. Khan, T.
Malysheva, M. Sama, and L.
White, Stability Analysis of
the Inverse Problem of Parameter
Identification in Mixed Variational
Problems, Applications of Nonlinear
Analysis, Springer, 134, 61--100,
2018.

A. A. Khan, D.
Motreanu, Inverse problems for
quasi-variational inequalities,
Journal of Global Optimization, 70,
401--411, 2018.

B. Jadamba, A. A.
Khan, M. Sama, C. Tammer, On convex
modified output least-squares for
elliptic inverse problems:
stability, regularization,
applications, and numerics,
Optimization, 60, 983--1012, 2017.

J. Gwinner, B.
Jadamba, A. A. Khan, M. Sama,
Identification in variational and
quasi-variational inequalities,
Journal of Convex Analysis, 25,
1--26, 2018.

B. Jadamba, A. A.
Khan, A. Oberai, M. Sama,
First-Order and Second-Order Adjoint
Methods For Parameter Identification
Problems with an Application to the
Elasticity Imaging Inverse Problem,
Inverse Problems in Science and
Engineering, 1-20, 2017. DOI:
10.1080/17415977.2017.1289195.

A. A. Khan, B.
Solemani, Chr. Tammer,
Second-Order Optimality Conditions
in Set-Valued Optimization with
Variable Ordering Structure, Pure
and Applied Functional
Analysis, Volume 2, No. 2,
305--316, 2017.

M. Cho, B. Jadamba, A.
A. Khan, A. A. Oberai, and M. Sama,
Identification in Mixed Variational
Problems by Adjoint Methods with
Applications, Modeling and
Optimization: Theory and
Applications, Springer, 213,
65-84, 2017.

M. Cho, B. Jadamba, R.
Kahler, A. A. Khan, and M. Sama,
First-order and second-order adjoint
methods for the inverse problem of
identifying nonlinear parameters in
PDEs, Industrial Mathematics and
Complex systems, Springer, pp.
147--163, 2017.

A.
Gibali, B. Jadamba, A. A. Khan, C.
Tammer, W. Winkler, Gradient and
Extragradient Methods for the
Elasticity Imaging Inverse Problem
Using an Equation Error Formulation: A
Comparative Numerical Study,
Contemporary Mathematics, 659, 65--89,
2016.

B.
Jadamba, A. A. Khan, F. Raciti, C.
Tammer, B. Winkler, Iterative Methods
for the Elastography Inverse Problem of
Locating Tumors, Essays in Mathematics
and its Applications, Springer, 109-141,
2016.

B.
Jadamba, A. A. Khan, M. Sama, C.
Tammer, An Optimization Framework for
Elliptic Inverse Problems: Stability,
Optimality, Regularization,
Discretization, and Applications.
(Revised version submitted on 10th
November, 2016).

A. A.
Khan, D. Motreanu, Existence Theorems
for Elliptic and Evolutionary
Variational and Quasi-Variational
Inequalities, Journal of Optimization
Theory and Application, 167,
1136--1161, 2015.

B.
Jadamba, A. A. Khan, M. Sama, Error
estimates for integral constraint
regularization of state-constrained
elliptic control problems,
Computational Optimization and
Application, 2016. pp. 1-33. DOI
10.1007/s10589-016-9885-2.

B.
Jadamba, A. A. Khan, M. Sama,
Stability of the Conical
Regularization for Constructible
Dilating Cones (Under review for
Optimization Letters, 2016).

E.
Koebis, A. A. Khan, C. Tammer,
Scalarization Methods in
Multiobjective Optimization,
Robustness, Risk Theory and Finance,
Springer, 135-157, 2015.

B.
Jadamba, A. A. Khan, R. Kahler, F.
Raciti, B. Winkler, Identification of
Flexural Rigidity in a Kirchhoff
Plates Model Using a Convex Objective
and Continuous Newton Method,
Mathematical Problems in Engineering,
Article ID 290301, 11 pages, 2015.

P.
Caya, B. Jadamba, A. A. Khan, F.
Raciti, B. Winkler, An Equation Error
Approach for the Identification of
Elastic Parameters in Beams and Plates
with $H_1$-Regularization, Lecture
Notes in Computer Sciences, Springer,
2015.

A. A.
Khan, C. Tammer, C. Zalinescu,
Regularization of Quasi variational
inequalities, Optimization, 64 (2015),
1703--1724.

N.
Bush, B. Jadamba, A. A. Khan, F.
Raciti, Identification of a Parameter
in Fourth-Order Partial Differential
Equations by an Equation Error
Approach, Mathematica Slovaca, 65
(2015), No. 5, 1--13.

M.
Gockenbach, B. Jadamba, A. A. Khan, C.
Tammer, W. Winkler, Proximal Method for
the Elastography Inverse problem of
Tumor Identification Using an Equation
Error Approach, Advances in Variational
and Hemivariational Inequalities,
169--192, Springer, 2015.

B.
Jadamba, A. A. Khan, G. Rus, M. Sama, B.
Winkler, A New Convex Inversion
Framework for Parameter Identification
in Saddle Point Problems with an
Application to the Elasticity Imaging
Inverse Problem of Predicting Tumor
Location, SIAM J. Appl.
Math., 74(5), 1486--1510, 2014.

M.
Doyley, B. Jadamba, A. A. Khan, M.
Sama, B. Winkler, A New Energy
Inversion Framework for Parameter
Identification in Saddle Point
Problems with an Application to the
Elasticity Imaging Inverse Problem of
Predicting Tumor Location, Numerical
Functional Analysis and Application,
35, 984--1017, 2014.

E.
Crossen, M. S. Gockenbach, B. Jadamba,
A. A. Khan, B. Winkler, An Equation
Error Approach for the Elasticity
Imaging Inverse Problem for Predicting
Tumor Location, Computers Math. Appl. 67
(2014) 122--135.

B.
Jadamba, A. A. Khan, F. Raciti,
Regularization of stochastic variational
inequalities and a comparison of an
$L_p$ and a sample path approach,
Nonlinear Analysis, 94 (2014) 65--83.

A. A.
Khan, M. Sama, A New Conical
Regularization for Some Optimization
and Optimal Control Problems:
Convergence Analysis and Finite
Element Discretization, Numerical
Functional Analysis and Optimization,
34 (2013) 861--895.

N.
Cahill, B. Jadamba, A. A. Khan, M.
Sama, and B. Winkler, A First-Order
Adjoint and a Second-Order Hybrid
Method for an Energy Output Least
Squares Elastography Inverse Problem
of Identifying Tumor Location,
Boundary Value Problems, 2013,
2013:263.

A.
Gibali, B. Jadamba, A. A. Khan, J.
Oleksyn, Gradient and Extragradient
Methods for an Elliptic Inverse
Problem of Parameter Identification: A
Numerical Study, I. J. Pure and
Applied Mathematics, 4 (2013), 33--51.

A. A.
Khan, C. Tammer, Generalized
Dubovitskii-Milyutin Approach in
Set-Valued Optimization, Vietnam
Journal of Mathematics, 40, 285--304,
2012.

A. A.
Khan, D. Motreanu, Local Minimizers
Versus X-Local Minimizers,
Optimization Letters, 7, 1027--1033,
2013.

A. A.
Khan, C. Tammer, Second-Order
Optimality Conditions in Set-valued
Optimization via Asymptotic
Derivatives, Optimization, 62,
743--758, 2013.

B.
Jadamba, A. A. Khan, M. Paulhamus and M.
Sama, Proximal Point Methods for the
Inverse Problem of Identifying
Parameters in Beam Models, Emerging
Applications of Wavelet Methods,
American Institute of Physics, 1463
(2012) 16--38.

A. A.
Khan. M. Sama, Regularization for
State Constrained Optimal Control
Problems by Half Spaces Based
Decoupling, Systems Control Letters,
61 (2012) 707–-713.

A. A.
Khan, M. Sama, Optimal Control of
Multivalued Quasi Variational
Inequalities, Nonlinear Analysis, 75
(2012) 1419–-1428.

A. A.
Khan. M. Sama, A Multiplier Rule for
Stable Problems in Vector
Optimization, J. Convex Analysis, 19
(2012) 525--539.

A. A.
Khan, D. Ward, Toward Second-Order
Sensitivity Analysis in Set-Valued
Optimization, Journal of Nonlinear and
Convex Analysis, 13, 65-83, 2012.

B.
Jadamba, A. A. Khan, M. Sama, Inverse
Problems on Parameter Identification
in Partial Differential Equations,
Mathematical Methods, Models and
Algorithms in Science and Technology,
World Scientific, 228--258, 2011.

B.
Jadamba, A. A. Khan, M. Sama,
Generalized Solutions of Quasi
Variational Inequalities, Optimization
Letters, 6, 1221--1231, 2012.

B.
Jadamba, M.S. Gockenbach, A. A. Khan,
A Comparative Numerical Study of
Optimization Approaches for elliptic
Inverse Problems, JMI International
Journal of Mathematical Sciences, 1
(2010) 35--56.

B.
Jadamba, B.D. Rouhani, A. A. Khan, F.
Raciti, Generalized Solutions of
Multi-valued Monotone Quasi
Variational Inequalities. Optimization
and Optimal Control: Theory and
Applications, edited by A.
Chinchuluun, P.M. Pardalos, R. Enkhbat
and I, Tseveendorj, Springer, 227-240,
2010.

M.S.
Gockenbach, A. A. Khan, An Abstract
Framework for Elliptic Inverse
Problems. Part 2: An Augmented
Lagrangian Approach, Mathematics and
Mechanics of Solids, 14 (2009)
517--539.

E.
Hernandez, A. A. Khan, L.
Rodriguez-Marin, M. Sama, Computation
Formulas and Multiplier Rules for
Graphical Derivatives in Separable
Banach Spaces, Nonlinear Analysis, 71
(2009) 4241--4250.

G.
Isac, A. A. Khan, Second-order
Optimality Conditions in Set-valued
Optimization by a New Tangential
Derivative, Acta Mathematica
Vietnamica, 34 (2009) 81--90.

F.
Giannessi, A. A. Khan, On the Envelope
of a Variational Inequality, Nonlinear
Analysis and Variational Problems,
Springer-Verlag, 2009, 285--294.

A.
Caruso A. A. Khan, F. Raciti,
Continuity Results for a Class of
Variational Inequalities with
Application to Time Dependent Network
Problems, Numerical Functional
Analysis and Optimization, 30 (2009)
1278--1288.

G.
Isac, A. A. Khan, Dubovitski-Milutin
Approach in Set-valued Optimization,
SIAM Journal on Control and
Optimization, 47 (2008) 144--162.

B.
Jadamba, A. A. Khan, Error Estimates
for the Inverse Problem of Identifying
Variable Coefficients by the Modified
Least-squares, Indian J. Industrial
and Applied Mathematics, 1 (2008)
1--9. B. Djafari Rouhani, A. A. Khan,
F. Raciti, Penalization and
Regularization for Multi-valued
Pseudo-monotone Variational
Inequalities with Mosco Approximation
on Constraint Sets, J. Global
Optimization, 40 (2008) 147--153.

M. S.
Gockenbach, B. Jadamba, A. A. Khan,
Equation Error Approach for Elliptic
Inverse Problems with an Application
to the Identification of Lam\'e
Parameters, Inverse Problems in
Science and Engineering, 16 (2008)
349--367.

B.
Jadamba, A. A. Khan, F. Raciti, On the
Inverse Problem of Identifying Lam'e
coefficients in Linear Elasticity,
Computer and Mathematics with
Applications, 56 (2008) 431--443.

A. A.
Khan, B.D. Rouhani, Iterative
Regularization for Elliptic Inverse
Problems, Computer and Mathematics
with Applications, 54 (2007) 850--860.

M.
S. Gockenbach, A. A. Khan, An Abstract
Framework for Elliptic Inverse
Problems. Part 1: An Output
Least-squares Approach, Mathematics
and Mechanics of Solids, 12 (2007)
259--276.

M. S.
Gockenbach, B. Jadamba, A. A. Khan,
Numerical Estimation of Discontinuous
Coefficients by the Method of Equation
Error, International Journal of
Mathematics and Computer Science, 1
(2006) 343--359.

B.
Jadamba and V.V. Kalashnikov, A. A.
Khan, First and Second Order
Optimality Condition in
Set-Optimization. In: Optimization
with multivalued mappings, S.~Dempe
et. al., Springer, 265--276, 2006.

M. S.
Gockenbach, A. A. Khan, Identification
of Lam\'e Parameters in Linear
Elasticity: A Fixed Point Approach,
Journal of Industrial and Management
Optimization, 1 (2005) 487--497.

J.
Jahn, A. A. Khan, P. Zeilinger, Second
order optimality conditions in
set-valued optimization, Journal of
Optimization Theory and Applications,
125 (2005) 331--347.

M. S.
Gockenbach, A. A. Khan, A Convex
Objective Functional for Elliptic
Inverse Problems, In: Mathematical
models and methods for real world
systems, K.M. Furuti, M.Z. Nashed and
A.H. Siddiqi (eds.), Chapman \&
Hall/CRC,

389--419, 2005.

A. A.
Khan, F. Raciti, On Traffic
Equilibrium Problems: Further Models.
In: Variational analysis and
applications, F. Giannessi and A.
Maugeri, Kluwer Academic Publishers,
579--588, 2005.

J.
Jahn, A. A. Khan, Some Calculus Rules
for Contingent Epiderivatives,
Optimization, 52 (2003) 113--125.

A. A.
Khan, F. Raciti, A Multiplier Rule in
Set-valued Optimization, Bulletin of the
Australian Mathematical Society, 68
(2003) 93--100.

B.
Djafari Rouhani, A. A. Khan, On the
Embedding of Variational Inequalities,
Proceedings of the American
Mathematical Society, 131 (2003)
3861--3871.

J.
Jahn, A. A. Khan, On the Existence of
Contingent Epiderivatives for
Set-valued Maps, Applied Mathematics
Letters, 16 (2003) 1179--1185.

J.
Jahn, A. A. Khan, Generalized
Contingent Epiderivatives in
Set-valued Optimization: Optimality
Conditions, Numerical Functional
Analysis and Optimization, 28 (2002)
807--831.

J.
Jahn, A. A. Khan, Existence Theorems
and Characterizations of Generalized
Contingent Epiderivatives, Journal of
Nonlinear and Convex Analysis, 3
(2002) 1--15.

A. A.
Khan, A Regularization Approach for
Variational Inequalities, Computers and
Mathematics with Applications, 42 (2001)
65--74.

F.
Giannessi, A. A. Khan, Regularization of
Non-coercive Quasi Variational
Inequalities, Control and Cybernetics,
29 (2000) 91--110.

V. V.
Kalashniko, A. A. Khan, A
Regularization Approach for
Variational Inequalities with
Pseudo-monotone Operators. In:
Operations research proceedings 1999.
Selected papers of the symposium,
Magdeburg, Germany,

K.
Ahmad, A. A. Khan, Study of
Variational Inequalities with Monotone
Operators. In: Industrial and applied
mathematics, A.H.~Siddiqi and K.Ahmad
(eds.), Narosa Publishing House,
London, 116--127, 1998.

K.
Ahmad, A. A. Khan, Solution of
Variational Inequalities by Operator
Method of Regularization. In:
Functional analysis. Selected topics,
P.~K.~Jain (ed.), Narosa Publishing
House, London, 140--151, 1998.

B.
Jadamba, A. A. Khan, Regularized
Auxiliary Problem Principle for
Variational Inequalities, Computers
and Mathematics with Applications, 4
(2000) 995--1002.