# Scholarly Works

##### Akhtar Khan

Associate Professor### 2015 Submissions

#### Journal Paper

Khan, Akhtar A. and Dumitru Motreanu. "Existence Theorems for Elliptic and Evolutionary." *J Optim Theory Appl* 167. (2015): 1136â€“1161. Print. *

Jadamba, B., *et al*. "Identification of Flexural Rigidity in a Kirchhoff Plates Model." *Mathematical Problems in Engineering* ID 290301. (2015): 1--11. Print. *

Khan, Akhtar A., Christiane Tammer, and Constantin Zalinescu. "Regularization of quasi-variational inequalities." *Optimization* 64. (2015): 1703--1724. Print. *

Bush, Nathan, *et al*. "Identification Of A Parameter in Fourth-Order Partial Differential Equations By An Equation Error Approach." *Mathematica Slovaca* 65. (2015): 1--13. Print. *

#### Book Chapter

Khan, Akhtar A., Elisabeth Koebis, and Christiane Tammer. "Scalarization Methods in Multiobjective Optimization, Robustness, Risk Theory and Finance." *Multiple Criteria Decision Making in Finance.* Ed. M. Al-Shammari. Berlin, Germany: Springer, 2015. 135-157. Print. *

Gockenbach, M., *et al*. "Proximal Methods for the Elastography Inverse Problem of Tumor Identification Using an Equation Error Approach." *Advances in Variational and Hemivariational Inequalities.* Berlin, Germany: Springer, 2015. 169--192. Print. *

#### Journal Editor

Grecksch, Wilfried, *et al*, ed. *JOTA.* New York: Springer, 2015. Print. *

#### Invited Keynote/Presentation

Khan, Akhtar A. "An Optimization Framework for the Elasticity." *Variational Analysis And Applications.* International Centre for Scientific Culture "E. Majorana" School of Mathematics "G. Stampacchia". Erice, Italy. 28 Aug. 2015. Conference Presentation. *

Khan, Akhtar A. "Stability of the Elasticity Imaging Inverse Problem." *Applied Inverse Problems.* Inverse Problems Society. Helsinki, Finland. 25 May 2015. Conference Presentation. *

Khan, Akhtar A. "Computational Methods for Elastography Inverse Problem,." *High Performance Computing in Science and Engineering.* University of Ostrava. Ostrava, zech Republic. 25 May 2015. Conference Presentation. *

Khan, Akhtar A. "On Evolutionary and Elliptic Quasi Variational Inequalities." *The 22nd International Symposium on Mathematical Programming,.* Carnegie Mellon University and University of Pittsburgh. Pittsburgh,, USA. 12 Jul. 2015. Conference Presentation. *

Khan, Akhtar A. "Some Aspects of Elastography Inverse Problem." *The Modeling and Optimization: Theory and Applications (MOPTA).* Lehigh University. Bethlehem, PA. 20 Jul. 2015. Conference Presentation. *

Khan, Akhtar A. "Parameter Identification in Variational Problems,." *Recent Developments in Applied Mathematics.* Palacky University Olomouc. Palacky, Czech Republic. 2 Feb. 2015. Conference Presentation. *

Khan, Akhtar A. "Heavy Ball with Friction Methods for Inverse Problems." *Joint Mathematics Meetings.* SIAM/MAA. San Antonio, USA. 10 Jan. 2015. Conference Presentation. *

### 2012 Submissions

#### Journal Paper

Khan, Akhtar A. and Doug Ward. "Toward Second-Order Sensitivity Analysis in Set-Valued Optimization." *Journal of Nonlinear and Convex Analysis* 13. (2012): 65-83. Print. *

Khan, Akhtar A. and M. Sama. "A Multiplier Rule for Stable Problems in Vector Optimization." *Journal of Convex Analysis* 19. (2012): 525-539. Print. *

Khan, Akhtar A. and M. Sama. "Optimal Control of Multivalued Quasi Variational Inequalities." *Nonlinear Analysis* 75. (2012): 1419-1428. Print. *

Khan, Akhtar A., B. Jadamba, and M. Sama. "Regularization for State Constrained Optimal Control Problems by Half Spaces Based Decoupling." *Systems Control Letters* 61. (2012): 707-713. Print. *

Khan, Akhtar A. and D. Motreanu. "Local Minimizers Versus X-Local Minimizers." *Optimization Letters* 10.1007/s11590-012-0474-8. (2012): 1-7. Web. *

Khan, Akhtar A. and C. Tammer. "Second-Order Optimality Conditions in Set-valued Optimization via Asymptotic Derivatives." *Optimization* 10.1080/02331934.2012.674948. (2012): 1-16. Web. *

Khan, Akhtar A., *et al*. "Proximal Point Methods for the Inverse Problem of Identifying Parameters in Beam Models." *Emerging Applications of Wavelet Methods* 1463. (2012): 16-38. Print. *

Khan, Akhtar A. and C. Tammer. "Generalized Dubovitskii-Milyutin Approach." *Vietnam Journal of Mathematics* 40. (2012): 285-304. Print. *

#### Invited Keynote/Presentation

Khan, Akhtar A. "A Convex Optimization Problem in Identifying Tumor Location." *The 21st International Symposium on Mathematical Programming.* N/A. Berlin, Germany. 19 Aug. 2012. Lecture. ∆

Khan, Akhtar A. "Ill Posed Quasi-Variational Inequalities with Multi-valued Maps." *The 6th International Conference on Inverse Problems: Modeling and Simulation.* IP. Antalya, Turkey. 21 May 2012. Lecture. ∆

Khan, Akhtar A. "Inverse Problems in Linear Elasticity: Compressible and Incompressible Cases." *The fourth International Workshop on Variational Analysis and Applications.* Stampacchia School of Mathematics, Erice. Sicily, Italy. 14 May 2012. Lecture. ∆

Khan, Akhtar A. "Conical Regularization for Optimal Control Problems." *Invited Talk.* University of Catania. Catania, Italy. 3 Mar. 2012. Lecture. ∆

Khan, Akhtar A. "Conical Regularization for Abstract Constrained Optimization Problems in Hilbert Spaces." *Joint Mathematics Meetings.* AMS/SIAM. Boston, MA. 4 Jan. 2012. Lecture. ∆

### 2011 Submissions

#### Journal Paper

Khan, Akhtar A., Baasansuren Jadamba, and Miguel Sama. "Generalized Solutions of Quasi Variational Inequalities." *Optimization Letters* doi:10.1007/s11590-011-0363-6. (2011): 1-11. Print. * £

#### Book Chapter

Khan, Akhtar A., Baasansuren Jadamba, and Miguel Sama. "Inverse Problems on Parameter Identification in Partial Differential Equations." *Mathematical Methods, Models and Algorithms in Science and Technology.* Singapore: World Scientific, 2011. 228- 258. Print. * ∆ £

#### Invited Keynote/Presentation

Khan, Akhtar A. "Conical Derivatives for Optimization Problems." *Applied Inverse Problems.* University of Texas at A&M. University of Texas at A&M, College Station, TX. 24 May 2011. Conference Presentation. £

Khan, Akhtar A. "Toward Second-Order Sensitivity Analysis in Set-Valued Optimization." *Joint Mathematics Meetings.* AMS/MAA. Sheraton, New Orleans, LA. 8 Jan. 2011. Conference Presentation. £

Khan, Akhtar A. "Inverse Problem for Quasi Variational Inequalities." *7th International Congress on Industrial and Applied Mathematics.* ICIAM. Vancouver Convention Centre, Vancouver, British Columbia, Canada. 18 Jun. 2011. Conference Presentation. £

### 2010 Submissions

#### Published Article

Khan, Akhtar,
B. Jadamba, M.S. Gockenbach. â€œA
Comparative Numerical Study of
Optimization Approaches for elliptic
Inverse Problems.â€ *JMI International
Journal of Mathematical Sciences*,
1 (2010): 1-20. Print. *

Khan, Akhtar, B.
Jadamba, B.D. Rouhani, F. Raciti.
â€œGeneralized solutions of multi-valued
monotone quasi variational inequalities.â€
*Optimization and Optimal Control: Theory
and Applications*, 2010. 227-240. Print. *

#### Formal Presentation

Khan, Akhtar.
â€œInverse Problems for Variational Equations
and Quasi-variational Inequalities.â€
*International Congress of Mathematicians
2010*. Hyderabad, India. August 2010.
Presentation.

Khan, Akhtar.
â€Ill-posed Quasi-Variational Inequalities.â€ *International Conference on Mathematics
and Applications*. New Delhi, India. 15-17
Aug. 2010. Presentation.

Khan, Akhtar. â€œStability Analysis of the Modified Output Least Squares for the Elliptic Inverse Problems.â€ *Satellite Conference on
Inverse Problems*. New Delhi, India.
14 Aug. 2010. Presentation.

Khan, Akhtar. â€œNumerical Methods for Elliptic Inverse Problems.â€ *International Conference on Optimization, Simulation and Control*. Ulannbaatar, Mongolia. 25-28 July 2010.
Presentation.