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Author ID: khan.akhtar-ali Recent zbMATH articles by "Khan, Akhtar Ali"
Published as: Khan, Akhtar A.; Khan, A. A.; Khan, Akhtar; Khan, A.; Khan, Akhtar Ali
Homepage: https://people.rit.edu/aaksma/
External Links: MGP · ORCID · Google Scholar · dblp
all top 5

Serials

13 Optimization
6 Journal of Nonlinear and Variational Analysis
5 Computers & Mathematics with Applications
5 Pure and Applied Functional Analysis
4 Inverse Problems
4 Journal of Optimization Theory and Applications
4 Numerical Functional Analysis and Optimization
4 Journal of Nonlinear and Convex Analysis
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Journal of Convex Analysis
3 Optimization Letters
2 SIAM Journal on Control and Optimization
2 Journal of Global Optimization
2 Mathematical Problems in Engineering
2 Mathematics and Mechanics of Solids
2 Inverse Problems in Science and Engineering
1 Bulletin of the Australian Mathematical Society
1 Journal of Mathematical Analysis and Applications
1 Acta Mathematica Vietnamica
1 Analele Universității din Timișoara. Științe Matematice
1 Control and Cybernetics
1 Journal of Approximation Theory
1 Mathematica Slovaca
1 Proceedings of the American Mathematical Society
1 Tamkang Journal of Mathematics
1 Systems & Control Letters
1 Pakistan Journal of Statistics
1 Applied Mathematics Letters
1 Applied Mathematical Modelling
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Computational Optimization and Applications
1 Vietnam Journal of Mathematics
1 Taiwanese Journal of Mathematics
1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
1 Communications in Nonlinear Science and Numerical Simulation
1 Lobachevskii Journal of Mathematics
1 Nonlinear Analysis. Real World Applications
1 Boundary Value Problems
1 Journal of Industrial and Management Optimization
1 International Journal of Mathematics and Computer Science
1 International Journal of Mathematics and Analysis
1 Science China. Mathematics
1 SIAM/ASA Journal on Uncertainty Quantification
1 Springer Optimization and Its Applications
1 Applied Analysis and Optimization
1 Vector Optimization

Publications by Year

Citations contained in zbMATH Open

88 Publications have been cited 1,309 times in 756 Documents Cited by Year
Set-valued optimization. An introduction with applications. Zbl 1308.49004
Khan, Akhtar A.; Tammer, Christiane; Zălinescu, Constantin
265
2015
Nonlinear analysis and variational problems. In Honor of George Isac. Zbl 1178.49001
94
2010
Nonlinear quasi-hemivariational inequalities: existence and optimal control. Zbl 07332073
Zeng, Shengda; Migórski, Stanisław; Khan, Akhtar A.
53
2021
An abstract framework for elliptic inverse problems. I: An output least-squares approach. Zbl 1153.74021
Gockenbach, Mark S.; Khan, Akhtar A.
48
2007
Second-order optimality conditions in set optimization. Zbl 1071.49015
Jahn, J.; Khan, A. A.; Zeilinger, P.
47
2005
Inverse problems for nonlinear quasi-hemivariational inequalities with application to mixed boundary value problems. Zbl 1433.35462
Migórski, Stanisław; Khan, Akhtar A.; Zeng, Shengda
45
2020
Generalized contingent epiderivatives in set-valued optimization: Optimality conditions. Zbl 1134.90466
Jahn, Johannes; Khan, Akhtar A.
40
2002
Regularization of non-coercive quasi variational inequalities. Zbl 1006.49004
Giannessi, F.; Khan, A. A.
40
2000
Inverse problems for nonlinear quasi-variational inequalities with an application to implicit obstacle problems of \(p\)-Laplacian type. Zbl 1516.35530
Migórski, Stanisław; Khan, Akhtar A.; Zeng, Shengda
39
2019
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. Zbl 1330.35533
Jadamba, B.; Khan, A. A.; Rus, G.; Sama, M.; Winkler, B.
33
2014
Existence theorems for elliptic and evolutionary variational and quasi-variational inequalities. Zbl 1337.49012
Khan, Akhtar A.; Motreanu, Dumitru
31
2015
Regularization of quasi-variational inequalities. Zbl 1337.49005
Khan, Akhtar A.; Tammer, Christiane; Zalinescu, Constantin
29
2015
On the inverse problem of identifying Lamé coefficients in linear elasticity. Zbl 1155.74352
Jadamba, B.; Khan, A. A.; Raciti, F.
27
2008
Identification in variational and quasi-variational inequalities. Zbl 1391.49012
Gwinner, Joachim; Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel
24
2018
An abstract framework for elliptic inverse problems. II: An augmented Lagrangian approach. Zbl 1197.74048
Gockenbach, Mark S.; Khan, Akhtar A.
24
2009
Inverse problems for quasi-variational inequalities. Zbl 1387.35620
Khan, Akhtar A.; Motreanu, Dumitru
21
2018
The existence of contingent epiderivatives for set-valued maps. Zbl 1040.49025
Jahn, J.; Khan, A. A.
20
2003
Optimal control of multivalued quasi variational inequalities. Zbl 1236.49019
Khan, Akhtar A.; Sama, Miguel
19
2012
Identification of Lamé parameters in linear elasticity: a fixed point approach. Zbl 1085.35127
Gockenbach, Mark S.; Khan, Akhtar A.
18
2005
Some calculus rules for contingent epiderivatives. Zbl 1032.49021
Jahn, Johannes; Khan, Akhtar A.
18
2003
An equation error approach for the elasticity imaging inverse problem for predicting tumor location. Zbl 1352.92087
Crossen, E.; Gockenbach, M. S.; Jadamba, B.; Khan, A. A.; Winkler, B.
18
2014
Regularization of stochastic variational inequalities and a comparison of an \(L_p\) and a sample-path approach. Zbl 1287.49010
Jadamba, Baasansuren; Khan, Akhtar A.; Raciti, Fabio
18
2014
Equation error approach for elliptic inverse problems with an application to the identification of Lamé parameters. Zbl 1258.74087
Gockenbach, M. S.; Jadamba, B.; Khan, A. A.
16
2008
Inverse problems for generalized quasi-variational inequalities with application to elliptic mixed boundary value systems. Zbl 1487.49045
Cen, Jinxia; Khan, Akhtar A.; Motreanu, Dumitru; Zeng, Shengda
15
2022
Inverse problems for multi-valued quasi variational inequalities and noncoercive variational inequalities with noisy data. Zbl 1426.49040
Khan, Akhtar A.; Migorski, Stanislaw; Sama, Miguel
14
2019
A new conical regularization for some optimization and optimal control problems: convergence analysis and finite element discretization. Zbl 1275.49054
Khan, Akhtar A.; Sama, Miguel
13
2013
Inverse problems of parameter identification in partial differential equations. Zbl 1262.65160
Jadamba, B.; Khan, A. A.; Sama, M.
12
2011
Numerical estimation of discontinuous coefficients by the method of equation error. Zbl 1111.35110
Gockenbach, M. S.; Jadamba, B.; Khan, A. A.
11
2006
First-order and second-order adjoint methods for parameter identification problems with an application to the elasticity imaging inverse problem. Zbl 1387.92057
Jadamba, Baasansuren; Khan, Akhtar A.; Oberai, Assad A.; Sama, Miguel
11
2017
A new energy inversion for parameter identification in saddle point problems with an application to the elasticity imaging inverse problem of predicting tumor location. Zbl 1296.49032
Doyley, M. M.; Jadamba, B.; Khan, A. A.; Sama, M.; Winkler, B.
11
2014
A multiplier rule in set-valued optimisation. Zbl 1168.90574
Khan, Akhtar A.; Raciti, Fabio
10
2003
Dubovitskii-Milyutin approach in set-valued optimization. Zbl 1155.90015
Isac, G.; Khan, A. A.
10
2008
Second-order optimality conditions in set-valued optimization by a new tangential derivative. Zbl 1180.90246
Isac, G.; Khan, A. A.
10
2009
Regularization for state constrained optimal control problems by half spaces based decoupling. Zbl 1250.49004
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel
9
2012
A first-order adjoint and a second-order hybrid method for an energy output least-squares elastography inverse problem of identifying tumor location. Zbl 1292.35323
Cahill, Nathan D.; Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Winkler, Brian C.
9
2013
Gradient and extragradient methods for the elasticity imaging inverse problem using an equation error formulation: a comparative numerical study. Zbl 1354.92041
Gibali, A.; Jadamba, B.; Khan, A. A.; Raciti, F.; Winkler, B.
9
2016
Second-order optimality conditions in set-valued optimization via asymptotic derivatives. Zbl 1273.90159
Khan, Akhtar A.; Tammer, Christiane
9
2013
Uncertainty quantification in variational inequalities. Theory, numerics, and applications. Zbl 1479.49002
Gwinner, Joachim; Jadamba, Baasansuren; Khan, Akhtar A.; Raciti, Fabio
9
2022
Generalized solutions of quasi variational inequalities. Zbl 1259.90143
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel
9
2012
Iterative regularization for elliptic inverse problems. Zbl 1151.35102
Khan, A. A.; Rouhani, B. D.
8
2007
Continuity results for a class of variational inequalities with applications to time-dependent network problems. Zbl 1189.47061
Caruso, A. O.; Khan, A. A.; Raciti, F.
8
2009
First and second order optimality conditions in set optimization. Zbl 1196.90098
Kalashnikov, V.; Jadamba, B.; Khan, A. A.
7
2006
Error estimates for integral constraint regularization of state-constrained elliptic control problems. Zbl 1373.49041
Jadamba, B.; Khan, A.; Sama, M.
7
2017
A convex optimization framework for the inverse problem of identifying a random parameter in a stochastic partial differential equation. Zbl 1471.35332
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Starkloff, Hans-Jorg; Tammer, Christiane
7
2021
Contingent derivatives and regularization for noncoercive inverse problems. Zbl 1422.90060
Clason, Christian; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane
7
2019
Existence theorems and characterizations of generalized contingent epiderivatives. Zbl 1107.90440
Jahn, Johannes; Khan, Akhtar A.
6
2002
On the embedding of variational inequalities. Zbl 1047.47045
Rouhani, B. Djafari; Khan, A. A.
6
2003
A variational inequality based stochastic approximation for inverse problems in stochastic partial differential equations. Zbl 1472.35451
Hawks, Rachel; Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Yang, Yidan
6
2021
Penalization and regularization for multivalued pseudo-monotone variational inequalities with Mosco approximation on constraint sets. Zbl 1149.49014
Rouhani, B. Djafari; Khan, Akhtar A.; Raciti, Fabio
5
2008
Fuzzy filters in ordered semigroups. Zbl 1174.06018
Shabir, M.; Khan, A.
5
2008
Proximal methods for the elastography inverse problem of tumor identification using an equation error approach. Zbl 1319.35297
Gockenbach, Mark S.; Jadamba, Baasansuren; Khan, Akhtar A.; Tammer, Christiane; Winkler, Brian
5
2015
Local minimizers versus \(X\)-local minimizers. Zbl 1266.49041
Khan, Akhtar A.; Motreanu, Dumitru
5
2013
Existence theorems and regularization methods for non-coercive vector variational and vector quasi-variational inequalities. Zbl 1472.49015
Khan, Akhtar A.; Hebestreit, Niklas; Köbis, Elisabeth; Tammer, Christiane
5
2019
Computation formulas and multiplier rules for graphical derivatives in separable Banach spaces. Zbl 1176.90541
Hernández, E.; Khan, A. A.; Rodríguez-Marín, L.; Sama, M.
4
2009
On convex modified output least-squares for elliptic inverse problems: stability, regularization, applications, and numerics. Zbl 1400.90303
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane
4
2017
Evolutionary quasi-variational-hemivariational inequalities. I: Existence and optimal control. Zbl 07528375
Zeng, Shengda; Motreanu, Dumitru; Khan, Akhtar A.
4
2022
A multiplier rule for stable problems in vector optimization. Zbl 1251.49031
Khan, Akhtar A.; Sama, Miguel
3
2012
Inverse generalized vector variational inequalities with respect to variable domination structures and applications to vector approximation problems. Zbl 1485.46005
Elster, Rosalind; Hebestreit, Niklas; Khan, Akhtar A.; Tammer, Christiane
3
2018
A variational inequality based stochastic approximation for estimating the flexural rigidity in random fourth-order models. Zbl 1489.35312
Jadamba, Baasansuren; Khan, Akhtar A.; Raciti, Fabio; Sama, Miguel
3
2022
Identification of flexural rigidity in a Kirchhoff plates model using a convex objective and continuous Newton method. Zbl 1394.74100
Jadamba, B.; Kahler, R.; Khan, A. A.; Raciti, F.; Winkler, B.
3
2015
First-order and second-order adjoint methods for the inverse problem of identifying non-linear parameters in pdes. Zbl 1396.49028
Cho, M.; Jadamba, B.; Kahler, R.; Khan, A. A.; Sama, M.
3
2017
Stable conical regularization by constructible dilating cones with an application to \(L^{p}\)-constrained optimization problems. Zbl 1423.90167
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel
3
2019
Conical regularization for multi-objective optimization problems. Zbl 1418.90247
Jadamba, Baasansuren; Khan, Akhtar A.; López, Rubén; Sama, Miguel
3
2019
Toward second-order sensitivity analysis in set-valued optimization. Zbl 1262.90136
Khan, A. A.; Ward, D. E.
2
2012
Second-order optimality conditions in set-valued optimization with variable ordering structure. Zbl 1375.90240
Khan, Akhtar A.; Soleimani, Behnam; Tammer, Christiane
2
2017
Identification of a parameter in fourth-order partial differential equations by an equation error approach. Zbl 1363.35376
Bush, Nathan; Jadamba, Baasansuren; Khan, Akhtar A.; Raciti, Fabio
2
2015
A convex inversion framework for identifying parameters in saddle point problems with applications to inverse incompressible elasticity. Zbl 1508.65153
Jadamba, Baasansuren; Khan, Akhtar A.; Richards, Michael; Sama, Miguel
2
2020
Generalized solutions of multi-valued monotone quasi-variational inequalities. Zbl 1229.90233
Jadamba, Baasansuren; Khan, Akhtar A.; Raciti, Fabio; Djafari Rouhani, Behzad
2
2010
An iteratively regularized stochastic gradient method for estimating a random parameter in a stochastic PDE. A variational inequality approach. Zbl 07557729
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Yang, Yidan
2
2021
Deterministic and stochastic optimal control and inverse problems. Zbl 1483.93002
2
2022
Generalized Dubovitskii-Milyutin approach in set-valued optimization. Zbl 1302.90159
Khan, Akhtar A.; Tammer, Christiane
2
2012
Inverse problem of estimating the stochastic flexural rigidity in fourth-order models. Zbl 1482.35274
Grecksch, Wilfried; Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane
2
2021
Variational analysis and set optimization. Developments and applications in decision making. Zbl 1416.49001
2
2019
Regularization methods for scalar and vector control problems. Zbl 1429.49026
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane
2
2019
On the envelope of a variational inequality. Zbl 1184.49010
Giannessi, F.; Khan, A. A.
1
2010
Regularized auxiliary problem principle for variational inequalities. Zbl 0960.49004
Baasansuren, J.; Khan, A. A.
1
2000
A regularization approach for variational inequalities with pseudo-monotone operators. Zbl 1005.90061
Kalashnikov, Vyacheslav; Khan, Akhtar Ali
1
2000
A regularization approach for variational inequalities. Zbl 0980.49010
Khan, A. A.
1
2001
On time dependent vector equilibrium problems. Zbl 1098.90065
Khan, A.; Riciti, F.
1
2005
A convex objective functional for elliptic inverse problems. Zbl 1158.35103
Gockenbach, M. S.; Khan, A. A.
1
2006
Generalized projections on general Banach spaces. Zbl 1515.41014
Khan, Akhtar A.; Li, Jinlu; Reich, Simeon
1
2023
Stochastic elliptic inverse problems. Solvability, convergence rates, discretization, and applications. Zbl 1522.35577
Dambrine, Marc; Khan, Akhtar A.; Sama, Miguel; Starkloff, Hans-Jörg
1
2023
Inverse problems for a class of elliptic obstacle problems involving multivalued convection term and weighted \((p,q)\)-Laplacian. Zbl 1509.35385
Zeng, Shengda; Migórski, Stanisław; Khan, Akhtar A.; Yao, Jen-Chih
1
2023
Stability analysis of conically perturbed linearly constrained least-squares problems by optimizing the regularized trajectories. Zbl 1475.90052
Khan, A.; Sama, M.
1
2021
A new regularized stochastic approximation framework for stochastic inverse problems. Zbl 1519.35367
Dippon, Jürgen; Gwinner, Joachim; Khan, Akhtar A.; Sama, Miguel
1
2023
Inverse problems in variational inequalities by minimizing energy. Zbl 1458.35475
Hao, Dinh Nho; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane
1
2019
Analyzing the role of the inf-sup condition for parameter identification in saddle point problems with application in elasticity imaging. Zbl 1458.35476
Jadamba, Baasansuren; Khan, Akhtar A.; Richards, Michael; Sama, Miguel; Tammer, Christiane
1
2020
Optimality conditions in nonlinear vector optimization with variable ordering structures. Zbl 1478.90118
Jahn, Johannes; Khan, Akhtar A.
1
2021
Generalized projections on general Banach spaces. Zbl 1515.41014
Khan, Akhtar A.; Li, Jinlu; Reich, Simeon
1
2023
Stochastic elliptic inverse problems. Solvability, convergence rates, discretization, and applications. Zbl 1522.35577
Dambrine, Marc; Khan, Akhtar A.; Sama, Miguel; Starkloff, Hans-Jörg
1
2023
Inverse problems for a class of elliptic obstacle problems involving multivalued convection term and weighted \((p,q)\)-Laplacian. Zbl 1509.35385
Zeng, Shengda; Migórski, Stanisław; Khan, Akhtar A.; Yao, Jen-Chih
1
2023
A new regularized stochastic approximation framework for stochastic inverse problems. Zbl 1519.35367
Dippon, Jürgen; Gwinner, Joachim; Khan, Akhtar A.; Sama, Miguel
1
2023
Inverse problems for generalized quasi-variational inequalities with application to elliptic mixed boundary value systems. Zbl 1487.49045
Cen, Jinxia; Khan, Akhtar A.; Motreanu, Dumitru; Zeng, Shengda
15
2022
Uncertainty quantification in variational inequalities. Theory, numerics, and applications. Zbl 1479.49002
Gwinner, Joachim; Jadamba, Baasansuren; Khan, Akhtar A.; Raciti, Fabio
9
2022
Evolutionary quasi-variational-hemivariational inequalities. I: Existence and optimal control. Zbl 07528375
Zeng, Shengda; Motreanu, Dumitru; Khan, Akhtar A.
4
2022
A variational inequality based stochastic approximation for estimating the flexural rigidity in random fourth-order models. Zbl 1489.35312
Jadamba, Baasansuren; Khan, Akhtar A.; Raciti, Fabio; Sama, Miguel
3
2022
Deterministic and stochastic optimal control and inverse problems. Zbl 1483.93002
2
2022
Nonlinear quasi-hemivariational inequalities: existence and optimal control. Zbl 07332073
Zeng, Shengda; Migórski, Stanisław; Khan, Akhtar A.
53
2021
A convex optimization framework for the inverse problem of identifying a random parameter in a stochastic partial differential equation. Zbl 1471.35332
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Starkloff, Hans-Jorg; Tammer, Christiane
7
2021
A variational inequality based stochastic approximation for inverse problems in stochastic partial differential equations. Zbl 1472.35451
Hawks, Rachel; Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Yang, Yidan
6
2021
An iteratively regularized stochastic gradient method for estimating a random parameter in a stochastic PDE. A variational inequality approach. Zbl 07557729
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Yang, Yidan
2
2021
Inverse problem of estimating the stochastic flexural rigidity in fourth-order models. Zbl 1482.35274
Grecksch, Wilfried; Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane
2
2021
Stability analysis of conically perturbed linearly constrained least-squares problems by optimizing the regularized trajectories. Zbl 1475.90052
Khan, A.; Sama, M.
1
2021
Optimality conditions in nonlinear vector optimization with variable ordering structures. Zbl 1478.90118
Jahn, Johannes; Khan, Akhtar A.
1
2021
Inverse problems for nonlinear quasi-hemivariational inequalities with application to mixed boundary value problems. Zbl 1433.35462
Migórski, Stanisław; Khan, Akhtar A.; Zeng, Shengda
45
2020
A convex inversion framework for identifying parameters in saddle point problems with applications to inverse incompressible elasticity. Zbl 1508.65153
Jadamba, Baasansuren; Khan, Akhtar A.; Richards, Michael; Sama, Miguel
2
2020
Analyzing the role of the inf-sup condition for parameter identification in saddle point problems with application in elasticity imaging. Zbl 1458.35476
Jadamba, Baasansuren; Khan, Akhtar A.; Richards, Michael; Sama, Miguel; Tammer, Christiane
1
2020
Inverse problems for nonlinear quasi-variational inequalities with an application to implicit obstacle problems of \(p\)-Laplacian type. Zbl 1516.35530
Migórski, Stanisław; Khan, Akhtar A.; Zeng, Shengda
39
2019
Inverse problems for multi-valued quasi variational inequalities and noncoercive variational inequalities with noisy data. Zbl 1426.49040
Khan, Akhtar A.; Migorski, Stanislaw; Sama, Miguel
14
2019
Contingent derivatives and regularization for noncoercive inverse problems. Zbl 1422.90060
Clason, Christian; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane
7
2019
Existence theorems and regularization methods for non-coercive vector variational and vector quasi-variational inequalities. Zbl 1472.49015
Khan, Akhtar A.; Hebestreit, Niklas; Köbis, Elisabeth; Tammer, Christiane
5
2019
Stable conical regularization by constructible dilating cones with an application to \(L^{p}\)-constrained optimization problems. Zbl 1423.90167
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel
3
2019
Conical regularization for multi-objective optimization problems. Zbl 1418.90247
Jadamba, Baasansuren; Khan, Akhtar A.; López, Rubén; Sama, Miguel
3
2019
Variational analysis and set optimization. Developments and applications in decision making. Zbl 1416.49001
2
2019
Regularization methods for scalar and vector control problems. Zbl 1429.49026
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane
2
2019
Inverse problems in variational inequalities by minimizing energy. Zbl 1458.35475
Hao, Dinh Nho; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane
1
2019
Identification in variational and quasi-variational inequalities. Zbl 1391.49012
Gwinner, Joachim; Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel
24
2018
Inverse problems for quasi-variational inequalities. Zbl 1387.35620
Khan, Akhtar A.; Motreanu, Dumitru
21
2018
Inverse generalized vector variational inequalities with respect to variable domination structures and applications to vector approximation problems. Zbl 1485.46005
Elster, Rosalind; Hebestreit, Niklas; Khan, Akhtar A.; Tammer, Christiane
3
2018
First-order and second-order adjoint methods for parameter identification problems with an application to the elasticity imaging inverse problem. Zbl 1387.92057
Jadamba, Baasansuren; Khan, Akhtar A.; Oberai, Assad A.; Sama, Miguel
11
2017
Error estimates for integral constraint regularization of state-constrained elliptic control problems. Zbl 1373.49041
Jadamba, B.; Khan, A.; Sama, M.
7
2017
On convex modified output least-squares for elliptic inverse problems: stability, regularization, applications, and numerics. Zbl 1400.90303
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane
4
2017
First-order and second-order adjoint methods for the inverse problem of identifying non-linear parameters in pdes. Zbl 1396.49028
Cho, M.; Jadamba, B.; Kahler, R.; Khan, A. A.; Sama, M.
3
2017
Second-order optimality conditions in set-valued optimization with variable ordering structure. Zbl 1375.90240
Khan, Akhtar A.; Soleimani, Behnam; Tammer, Christiane
2
2017
Gradient and extragradient methods for the elasticity imaging inverse problem using an equation error formulation: a comparative numerical study. Zbl 1354.92041
Gibali, A.; Jadamba, B.; Khan, A. A.; Raciti, F.; Winkler, B.
9
2016
Set-valued optimization. An introduction with applications. Zbl 1308.49004
Khan, Akhtar A.; Tammer, Christiane; Zălinescu, Constantin
265
2015
Existence theorems for elliptic and evolutionary variational and quasi-variational inequalities. Zbl 1337.49012
Khan, Akhtar A.; Motreanu, Dumitru
31
2015
Regularization of quasi-variational inequalities. Zbl 1337.49005
Khan, Akhtar A.; Tammer, Christiane; Zalinescu, Constantin
29
2015
Proximal methods for the elastography inverse problem of tumor identification using an equation error approach. Zbl 1319.35297
Gockenbach, Mark S.; Jadamba, Baasansuren; Khan, Akhtar A.; Tammer, Christiane; Winkler, Brian
5
2015
Identification of flexural rigidity in a Kirchhoff plates model using a convex objective and continuous Newton method. Zbl 1394.74100
Jadamba, B.; Kahler, R.; Khan, A. A.; Raciti, F.; Winkler, B.
3
2015
Identification of a parameter in fourth-order partial differential equations by an equation error approach. Zbl 1363.35376
Bush, Nathan; Jadamba, Baasansuren; Khan, Akhtar A.; Raciti, Fabio
2
2015
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. Zbl 1330.35533
Jadamba, B.; Khan, A. A.; Rus, G.; Sama, M.; Winkler, B.
33
2014
An equation error approach for the elasticity imaging inverse problem for predicting tumor location. Zbl 1352.92087
Crossen, E.; Gockenbach, M. S.; Jadamba, B.; Khan, A. A.; Winkler, B.
18
2014
Regularization of stochastic variational inequalities and a comparison of an \(L_p\) and a sample-path approach. Zbl 1287.49010
Jadamba, Baasansuren; Khan, Akhtar A.; Raciti, Fabio
18
2014
A new energy inversion for parameter identification in saddle point problems with an application to the elasticity imaging inverse problem of predicting tumor location. Zbl 1296.49032
Doyley, M. M.; Jadamba, B.; Khan, A. A.; Sama, M.; Winkler, B.
11
2014
A new conical regularization for some optimization and optimal control problems: convergence analysis and finite element discretization. Zbl 1275.49054
Khan, Akhtar A.; Sama, Miguel
13
2013
A first-order adjoint and a second-order hybrid method for an energy output least-squares elastography inverse problem of identifying tumor location. Zbl 1292.35323
Cahill, Nathan D.; Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Winkler, Brian C.
9
2013
Second-order optimality conditions in set-valued optimization via asymptotic derivatives. Zbl 1273.90159
Khan, Akhtar A.; Tammer, Christiane
9
2013
Local minimizers versus \(X\)-local minimizers. Zbl 1266.49041
Khan, Akhtar A.; Motreanu, Dumitru
5
2013
Optimal control of multivalued quasi variational inequalities. Zbl 1236.49019
Khan, Akhtar A.; Sama, Miguel
19
2012
Regularization for state constrained optimal control problems by half spaces based decoupling. Zbl 1250.49004
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel
9
2012
Generalized solutions of quasi variational inequalities. Zbl 1259.90143
Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel
9
2012
A multiplier rule for stable problems in vector optimization. Zbl 1251.49031
Khan, Akhtar A.; Sama, Miguel
3
2012
Toward second-order sensitivity analysis in set-valued optimization. Zbl 1262.90136
Khan, A. A.; Ward, D. E.
2
2012
Generalized Dubovitskii-Milyutin approach in set-valued optimization. Zbl 1302.90159
Khan, Akhtar A.; Tammer, Christiane
2
2012
Inverse problems of parameter identification in partial differential equations. Zbl 1262.65160
Jadamba, B.; Khan, A. A.; Sama, M.
12
2011
Nonlinear analysis and variational problems. In Honor of George Isac. Zbl 1178.49001
94
2010
Generalized solutions of multi-valued monotone quasi-variational inequalities. Zbl 1229.90233
Jadamba, Baasansuren; Khan, Akhtar A.; Raciti, Fabio; Djafari Rouhani, Behzad
2
2010
On the envelope of a variational inequality. Zbl 1184.49010
Giannessi, F.; Khan, A. A.
1
2010
An abstract framework for elliptic inverse problems. II: An augmented Lagrangian approach. Zbl 1197.74048
Gockenbach, Mark S.; Khan, Akhtar A.
24
2009
Second-order optimality conditions in set-valued optimization by a new tangential derivative. Zbl 1180.90246
Isac, G.; Khan, A. A.
10
2009
Continuity results for a class of variational inequalities with applications to time-dependent network problems. Zbl 1189.47061
Caruso, A. O.; Khan, A. A.; Raciti, F.
8
2009
Computation formulas and multiplier rules for graphical derivatives in separable Banach spaces. Zbl 1176.90541
Hernández, E.; Khan, A. A.; Rodríguez-Marín, L.; Sama, M.
4
2009
On the inverse problem of identifying Lamé coefficients in linear elasticity. Zbl 1155.74352
Jadamba, B.; Khan, A. A.; Raciti, F.
27
2008
Equation error approach for elliptic inverse problems with an application to the identification of Lamé parameters. Zbl 1258.74087
Gockenbach, M. S.; Jadamba, B.; Khan, A. A.
16
2008
Dubovitskii-Milyutin approach in set-valued optimization. Zbl 1155.90015
Isac, G.; Khan, A. A.
10
2008
Penalization and regularization for multivalued pseudo-monotone variational inequalities with Mosco approximation on constraint sets. Zbl 1149.49014
Rouhani, B. Djafari; Khan, Akhtar A.; Raciti, Fabio
5
2008
Fuzzy filters in ordered semigroups. Zbl 1174.06018
Shabir, M.; Khan, A.
5
2008
An abstract framework for elliptic inverse problems. I: An output least-squares approach. Zbl 1153.74021
Gockenbach, Mark S.; Khan, Akhtar A.
48
2007
Iterative regularization for elliptic inverse problems. Zbl 1151.35102
Khan, A. A.; Rouhani, B. D.
8
2007
Numerical estimation of discontinuous coefficients by the method of equation error. Zbl 1111.35110
Gockenbach, M. S.; Jadamba, B.; Khan, A. A.
11
2006
First and second order optimality conditions in set optimization. Zbl 1196.90098
Kalashnikov, V.; Jadamba, B.; Khan, A. A.
7
2006
A convex objective functional for elliptic inverse problems. Zbl 1158.35103
Gockenbach, M. S.; Khan, A. A.
1
2006
Second-order optimality conditions in set optimization. Zbl 1071.49015
Jahn, J.; Khan, A. A.; Zeilinger, P.
47
2005
Identification of Lamé parameters in linear elasticity: a fixed point approach. Zbl 1085.35127
Gockenbach, Mark S.; Khan, Akhtar A.
18
2005
On time dependent vector equilibrium problems. Zbl 1098.90065
Khan, A.; Riciti, F.
1
2005
The existence of contingent epiderivatives for set-valued maps. Zbl 1040.49025
Jahn, J.; Khan, A. A.
20
2003
Some calculus rules for contingent epiderivatives. Zbl 1032.49021
Jahn, Johannes; Khan, Akhtar A.
18
2003
A multiplier rule in set-valued optimisation. Zbl 1168.90574
Khan, Akhtar A.; Raciti, Fabio
10
2003
On the embedding of variational inequalities. Zbl 1047.47045
Rouhani, B. Djafari; Khan, A. A.
6
2003
Generalized contingent epiderivatives in set-valued optimization: Optimality conditions. Zbl 1134.90466
Jahn, Johannes; Khan, Akhtar A.
40
2002
Existence theorems and characterizations of generalized contingent epiderivatives. Zbl 1107.90440
Jahn, Johannes; Khan, Akhtar A.
6
2002
A regularization approach for variational inequalities. Zbl 0980.49010
Khan, A. A.
1
2001
Regularization of non-coercive quasi variational inequalities. Zbl 1006.49004
Giannessi, F.; Khan, A. A.
40
2000
Regularized auxiliary problem principle for variational inequalities. Zbl 0960.49004
Baasansuren, J.; Khan, A. A.
1
2000
A regularization approach for variational inequalities with pseudo-monotone operators. Zbl 1005.90061
Kalashnikov, Vyacheslav; Khan, Akhtar Ali
1
2000
all top 5

Cited by 766 Authors

54 Khan, Akhtar Ali
48 Zeng, Shengda
41 Sama, Miguel
35 Li, Shengjie
34 Migórski, Stanisław
32 Jadamba, Baasansuren
26 Tammer, Christiane
24 Raciti, Fabio
20 Huang, Nan-Jing
18 Anh, Nguyen Le Hoang
17 Liu, Zhenhai
17 Yao, Jen-Chih
16 Phan Quôc Khánh
16 Xiao, Yibin
15 Nguyen Van Thien
14 Cen, Jinxia
14 Novo-Sanjurjo, Vicente
13 Winkert, Patrick
12 Wang, Qilin
11 Lalitha, C. S.
11 Shehu, Yekini
11 Tung, Nguyen Minh
10 Qin, Xiaolong
10 Rădulescu, Vicenţiu D.
9 Bai, Yunru
9 Chen, Chunrong
9 Eichfelder, Gabriele
9 Gutiérrez, César
9 Jiménez, Bienvenido
9 Mordukhovich, Boris S.
9 Rodriguez Marin, Luis
8 Gwinner, Joachim
8 Köbis, Elisabeth
8 López, Ruben
8 Motreanu, Dumitru
8 Passacantando, Mauro
8 Tan, Bing
8 Wei, Hongzhi
7 Durea, Marius
7 Han, Yu
7 Huerga, Lidia
7 Sofonea, Mircea
7 Su, Tran Van
7 Wangkeeree, Rabian
7 Winkler, Brian C.
7 Yu, Guolin
7 Zhu, Shengkun
6 Ansari, Qamrul Hasan
6 Barbagallo, Annamaria
6 Chen, Jiawei
6 Eslamian, Mohammad
6 Hernández, Elvira
6 Khludnev, Aleksandr Mikhaĭlovich
6 Kovtunenko, Viktor Anatolievich
6 Nam, Nguyen Mau
6 Noor, Muhammad Aslam
6 Peng, Zhenhua
6 Teo, Kok Lay
6 Tung, Le Thanh
6 Wen, Chingfeng
6 Zeng, Biao
5 Cai, Dong-ling
5 Köbis, Markus Arthur
5 Li, Xiaobing
5 Liu, Yongjian
5 Noor, Khalida Inayat
5 Oussarhan, Abdessamad
5 Papageorgiou, Nikolaos S.
5 Srivastava, Manjari K.
5 Strugariu, Radu
5 Tang, Guoji
5 Vatulyan, Aleksandr Ovanesovich
5 Zălinescu, Constantin
5 Zhang, Chuangliang
4 Amahroq, Tijani
4 Anh, Lam Quoc
4 Bao, Nguyen Xuan Duy
4 Ceng, Lu-Chuan
4 Chen, Tao
4 Dudek, Sylwia
4 Gasiński, Leszek
4 Geoffroy, Michel H.
4 Gockenbach, Mark S.
4 Gunther, Christian
4 Gupta, Meenakshi
4 Güvenç, İlknur Atasever
4 Karaman, Emrah
4 Köbis, Elisabeth Anna Sophia
4 Liu, Sanyang
4 Liu, Tao
4 Long, Dang Hai
4 López-Cerdá, Marco Antonio
4 Mahmudov, Elimhan Nadir
4 Molho, Elena
4 Nguyen Le Hoang Anh
4 Peng, Zijia
4 Schöbel, Anita
4 Shahzad, Naseer
4 Soyertem, Mustafa
4 Uderzo, Amos
...and 666 more Authors
all top 5

Cited in 149 Serials

78 Journal of Optimization Theory and Applications
76 Journal of Global Optimization
67 Optimization
46 Optimization Letters
26 Positivity
20 Journal of Mathematical Analysis and Applications
20 Journal of Nonlinear and Variational Analysis
19 Communications in Nonlinear Science and Numerical Simulation
13 Applied Mathematics and Optimization
13 Numerical Functional Analysis and Optimization
13 Set-Valued and Variational Analysis
11 Inverse Problems
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 SIAM Journal on Optimization
10 Computers & Mathematics with Applications
10 Journal of Computational and Applied Mathematics
10 Journal of Inequalities and Applications
9 Computational and Applied Mathematics
9 Journal of Convex Analysis
8 Applicable Analysis
7 Mathematical Methods of Operations Research
6 Applied Mathematics and Computation
6 Asia-Pacific Journal of Operational Research
6 Vietnam Journal of Mathematics
6 Abstract and Applied Analysis
6 Nonlinear Analysis. Real World Applications
6 Journal of Applied Mathematics
6 Journal of Industrial and Management Optimization
6 Inverse Problems in Science and Engineering
5 Computer Methods in Applied Mechanics and Engineering
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Thai Journal of Mathematics
4 Fuzzy Sets and Systems
4 Japan Journal of Industrial and Applied Mathematics
4 Journal of Inverse and Ill-Posed Problems
3 Journal of Differential Equations
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 SIAM Journal on Control and Optimization
3 Operations Research Letters
3 Acta Mathematicae Applicatae Sinica. English Series
3 The Journal of Geometric Analysis
3 European Journal of Operational Research
3 Mathematical Programming. Series A. Series B
3 Computational Optimization and Applications
3 Filomat
3 Discrete and Continuous Dynamical Systems. Series B
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Journal of Applied Mathematics and Computing
3 Journal of Fixed Point Theory and Applications
3 Journal of Nonlinear Science and Applications
3 Advances in Nonlinear Analysis
3 Open Mathematics
2 Acta Mathematica Vietnamica
2 Demonstratio Mathematica
2 International Journal for Numerical Methods in Engineering
2 Monatshefte für Mathematik
2 Results in Mathematics
2 Acta Applicandae Mathematicae
2 Bulletin of the Iranian Mathematical Society
2 Applied Mathematics Letters
2 Annals of Operations Research
2 SIAM Journal on Mathematical Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Taiwanese Journal of Mathematics
2 Journal of Applied Mechanics and Technical Physics
2 Communications in Contemporary Mathematics
2 Analysis and Applications (Singapore)
2 Fixed Point Theory
2 Computational Management Science
2 Discrete and Continuous Dynamical Systems. Series S
2 Science China. Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Afrika Matematika
2 Advances in Operator Theory
2 Fixed Point Theory and Algorithms for Sciences and Engineering
1 Bulletin of the Australian Mathematical Society
1 Journal of Applied Mathematics and Mechanics
1 Journal of Computational Physics
1 Journal of the Franklin Institute
1 Ukrainian Mathematical Journal
1 Chaos, Solitons and Fractals
1 Functiones et Approximatio. Commentarii Mathematici
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Approximation Theory
1 Kybernetika
1 Le Matematiche
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Numerische Mathematik
1 Siberian Mathematical Journal
1 Circuits, Systems, and Signal Processing
1 Applied Mathematics and Mechanics. (English Edition)
1 Applied Numerical Mathematics
1 Computational Mechanics
1 Journal of Scientific Computing
1 Science in China. Series A
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 YUJOR. Yugoslav Journal of Operations Research
...and 49 more Serials
all top 5

Cited in 36 Fields

412 Operations research, mathematical programming (90-XX)
377 Calculus of variations and optimal control; optimization (49-XX)
141 Operator theory (47-XX)
133 Partial differential equations (35-XX)
82 Numerical analysis (65-XX)
67 Mechanics of deformable solids (74-XX)
47 General topology (54-XX)
36 Functional analysis (46-XX)
31 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
30 Global analysis, analysis on manifolds (58-XX)
29 Real functions (26-XX)
16 Ordinary differential equations (34-XX)
14 Systems theory; control (93-XX)
10 Biology and other natural sciences (92-XX)
9 Order, lattices, ordered algebraic structures (06-XX)
7 Convex and discrete geometry (52-XX)
7 Probability theory and stochastic processes (60-XX)
7 Fluid mechanics (76-XX)
6 Measure and integration (28-XX)
3 Approximations and expansions (41-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 General and overarching topics; collections (00-XX)
2 Mathematical logic and foundations (03-XX)
2 Number theory (11-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Integral equations (45-XX)
1 History and biography (01-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year