Compute Distance To:
 Author ID: antczak.tadeusz Published as: Antczak, Tadeusz; Antczak, T.
 Documents Indexed: 108 Publications since 2001 Co-Authors: 19 Co-Authors with 26 Joint Publications 159 Co-Co-Authors
all top 5

### Co-Authors

 80 single-authored 5 Arana-Jiménez, Manuel 3 Abdulaleem, Najeeb 3 Jha, Shalini 2 Jayswal, Anurag 2 Mishra, Shashi Kant 2 Pitea, Ariana 2 Slimani, Hachem 2 Studniarski, Marcin 2 Upadhyay, Balendu Bhooshan 1 Das, Prasun 1 Jaisawal, Pushkar 1 Kisiel, Krzysztof 1 Laha, Vivek 1 Michalak, Anna 1 Ruiz-Garzón, Gabriel 1 Shukla, Kalpana 1 Stasiak, Aleksandra 1 Treanţă, Savin 1 Zalmai, G. J.
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### Serials

 9 Numerical Functional Analysis and Optimization 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Journal of Mathematical Analysis and Applications 6 Journal of Global Optimization 5 Journal of Optimization Theory and Applications 4 Computers & Mathematics with Applications 4 Applied Mathematics and Computation 4 European Journal of Operational Research 4 Filomat 3 Control and Cybernetics 3 Journal of Computational and Applied Mathematics 3 Taiwanese Journal of Mathematics 3 Journal of Advanced Mathematical Studies 2 Mathematical Methods in the Applied Sciences 2 Asia-Pacific Journal of Operational Research 2 Mathematical and Computer Modelling 2 Turkish Journal of Mathematics 2 Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka 2 Journal of Applied Analysis 2 Journal of Inequalities and Applications 2 The ANZIAM Journal 2 Folia Mathematica 2 Journal of Industrial and Management Optimization 2 An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 1 Calcolo 1 Commentationes Mathematicae Universitatis Carolinae 1 Kybernetika 1 Optimal Control Applications & Methods 1 Journal of Information & Optimization Sciences 1 Bulletin of the Iranian Mathematical Society 1 Annals of Operations Research 1 Applications of Mathematics 1 YUJOR. Yugoslav Journal of Operations Research 1 International Journal of Computer Mathematics 1 Computational and Applied Mathematics 1 Opuscula Mathematica 1 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 1 Journal of Nonlinear and Convex Analysis 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Miskolc Mathematical Notes 1 Computational Management Science 1 Carpathian Journal of Mathematics 1 Pacific Journal of Optimization 1 Optimization Letters 1 International Journal of Optimization: Theory, Methods and Applications 1 International Journal of Mathematics in Operational Research 1 Journal of Applied Analysis and Computation
all top 5

### Fields

 104 Operations research, mathematical programming (90-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 20 Real functions (26-XX) 9 Numerical analysis (65-XX) 2 Convex and discrete geometry (52-XX) 1 Operator theory (47-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

79 Publications have been cited 642 times in 341 Documents Cited by Year
$$(p,r)$$-invex sets and functions. Zbl 1051.90018
2001
Mean value in invexity analysis. Zbl 1100.26005
2005
$$r$$-preinvexity and $$r$$-invexity in mathematical programming. Zbl 1129.90052
Antczak, T.
2005
New optimality conditions and duality results of $$G$$ type in differentiable mathematical programming. Zbl 1143.90034
2007
On $$G$$-invex multiobjective programming. I: Optimality. Zbl 1191.90052
2009
A new approach to multiobjective programming with a modified objective function. Zbl 1059.90126
2003
Multiobjective programming under $$d$$-invexity. Zbl 1027.90076
2002
On $$G$$-invex multiobjective programming. II: Duality. Zbl 1192.90186
2009
A class of $$B$$-($$p$$,$$r$$)-invex functions and mathematical programming. Zbl 1046.90101
2003
An $$\eta$$-approximation method in nonlinear vector optimization. Zbl 1093.90053
2005
$$(p,r)$$-invexity in multiobjective programming. Zbl 1053.90115
2004
Generalized fractional minimax programming with $$B-(p,r)$$-invexity. Zbl 1155.90455
2008
Exact penalty functions method for mathematical programming problems involving invex functions. Zbl 1163.90792
2009
$$G$$-pre-invex functions in mathematical programming. Zbl 1219.90126
2008
Minimax programming under $$(p,r)$$-invexity. Zbl 1061.90115
2004
Optimality and duality for nonsmooth multiobjective programming problems with $$V$$-$$r$$-invexity. Zbl 1206.49035
2009
The notion of $$V$$-$$r$$-invexity in differentiable multiobjective programming. Zbl 1140.90485
Antczak, T.
2005
$$(\Phi , \rho )$$-invexity in nonsmooth optimization. Zbl 1229.90133
Antczak, Tadeusz; Stasiak, Aleksandra
2011
An $$\eta$$-approximation approach for nonlinear mathematical programming problems involving invex functions. Zbl 1071.90032
2004
Lipschitz $$r$$-invex functions and nonsmooth programming. Zbl 1103.49303
2002
On $$(p,r)$$-invexity-type nonlinear programming problems. Zbl 1052.90072
2001
Relationships between pre-invex concepts. Zbl 1103.90398
2005
Generalized $$(p,r)$$-invexity in mathematical programming. Zbl 1097.90042
2003
Nonsmooth minimax programming under locally Lipschitz $$(\Phi , \rho )$$-invexity. Zbl 1245.90143
2011
A modified objective function method in mathematical programming with second order invexity. Zbl 1141.90538
2007
Proper efficiency and duality for a new class of nonconvex multitime multiobjective variational problems. Zbl 1308.65107
Pitea, Ariana; Antczak, Tadeusz
2014
Proper efficiency conditions and duality results for nonsmooth vector optimization in Banach spaces under $$(\varPhi, \rho)$$-invexity. Zbl 1235.90133
2012
Parametric approach to multitime multiobjective fractional variational problems under $$(F,\rho)$$-convexity. Zbl 1348.90560
Antczak, Tadeusz; Pitea, Ariana
2016
Saddle point criteria and duality in multiobjective programming via an $$\eta$$-approximation method. Zbl 1123.90343
2005
Parametric saddle point criteria in semi-infinite minimax fractional programming problems under $$(p,r)$$-invexity. Zbl 1346.90782
2015
Second order $$(\Phi, \rho)$$-$$V$$-invexity and duality for semi-infinite minimax fractional programming. Zbl 1364.90325
Antczak, Tadeusz; Zalmai, G. J.
2014
An $$\eta$$-approximation approach in nonlinear vector optimization with univex functions. Zbl 1202.90229
2006
A modified objective function method for solving nonlinear multiobjective fractional programming problems. Zbl 1163.90725
2006
The vector exact $$l_{1}$$ penalty method for nondifferentiable convex multiobjective programming problems. Zbl 1245.90113
2012
A new method of solving nonlinear mathematical programming problems involving $$r$$-invex functions. Zbl 1139.90023
2005
Optimality conditions in quasidifferentiable vector optimization. Zbl 1349.49017
Antczak, T.
2016
A new exact exponential penalty function method and nonconvex mathematical programming. Zbl 1211.90176
2011
Saddle points criteria via a second order $$\eta$$-approximation approach for nonlinear mathematical programming involving second order invex functions. Zbl 1242.90171
2011
On efficiency and mixed duality for a new class of nonconvex multiobjective variational control problems. Zbl 1298.65103
2014
Modified ratio objective approach in mathematical programming. Zbl 1093.90061
Antczak, T.
2005
A lower bound for the penalty parameter in the exact minimax penalty function method for solving nondifferentiable extremum problems. Zbl 1282.90171
Antczak, T.
2013
The minimal criterion for the equivalence between local and global optimal solutions in nondifferentiable optimization problem. Zbl 1387.90194
Arana-Jiménez, Manuel; Antczak, Tadeusz
2017
Exactness property of the exact absolute value penalty function method for solving convex nondifferentiable interval-valued optimization problems. Zbl 1386.49045
Antczak, T.
2018
A necessary and sufficient condition on the equivalence between local and global optimal solutions in variational control problems. Zbl 1431.49010
Treanţă, Savin; Arana-Jiménez, Manuel; Antczak, Tadeusz
2020
The exact $$l_1$$ penalty function method for constrained nonsmooth invex optimization problems. Zbl 1266.49024
2013
Saddle-point criteria in an $$\eta$$-approximation method for nonlinear mathematical programming problems involving invex functions. Zbl 1138.90027
Antczak, T.
2007
Optimality conditions and duality results for nonsmooth vector optimization problems with the multiple interval-valued objective function. Zbl 1399.90286
2017
Generalized $$B-(p, r)$$-invexity functions and nonlinear mathematical programming. Zbl 1176.90465
2009
An $$\eta$$-approximation approach to duality in mathematical programming problems involving $$r$$-invex functions. Zbl 1140.90048
2006
A second order $$\eta$$-approximation method for constrained optimization problems involving second order invex functions. Zbl 1212.90307
2009
Sufficient optimality criteria and duality for multiobjective variational control problems with $$B-(p,r)$$-invex functions. Zbl 1330.65095
Antczak, Tadeusz; Jiménez, Manuel Arana
2014
An $$\eta$$-approximation method for nonsmooth multiobjective programming problems. Zbl 1163.90699
2008
A sufficient condition for optimality in nondifferentiable invex programming. Zbl 1153.90560
2001
On optimality conditions and duality results in a class of nonconvex quasidifferentiable optimization problems. Zbl 1370.90185
Antczak, T.
2017
$$\eta$$-approximation method for non-convex multiobjective variational problems. Zbl 1375.65079
Antczak, Tadeusz; Michalak, Anna
2017
$$B$$-$$(p,r)$$-pre-invex functions. Zbl 1109.26009
2004
Optimality conditions and duality for nondifferentiable multiobjective programming problems involving $$d$$-$$r$$-type I functions. Zbl 1216.90068
2009
Sufficient optimality conditions for semi-infinite multiobjective fractional programming under ($$\Phi,\rho$$)-$$V$$-invexity and generalized ($$\Phi,\rho$$)-$$V$$-invexity. Zbl 1474.90464
2016
Saddle points criteria in nondifferentiable multiobjective programming with $$V$$-invex functions via an $$\eta$$-approximation method. Zbl 1205.90255
2010
G-saddle point criteria and G-Wolfe duality in differentiate mathematical programming. Zbl 1242.90224
2010
Second order duality results for multiobjective programming problems under second order $$(\Phi, \rho)$$-invexity. Zbl 1311.90105
2014
Saddle point criteria and the exact minimax penalty function method in nonconvex programming. Zbl 1279.49022
2013
Strict minimizers of order $$m$$ in nonsmooth optimization problems. Zbl 1150.90007
Antczak, Tadeusz; Kisiel, Krzysztof
2006
Second order convexity and a modified objective function method in mathematical programming. Zbl 1188.90251
2007
The $$l_{1}$$ penalty function method for nonconvex differentiable optimization problems with inequality constraints. Zbl 1203.90124
2010
Fractional programming with $$(p,r)$$-invexity. Zbl 1052.90093
2001
Saddle point criteria and Wolfe duality in nonsmooth $$(\Phi , \rho)$$-invex vector optimization problems with inequality and equality constraints. Zbl 1310.90101
2015
Modified objective function approach for multitime variational problems. Zbl 1424.49006
Jayswal, Anurag; Antczak, Tadeusz; Jha, Shalini
2018
Parametric nondifferentiable multiobjective fractional programming under $$(b,\Psi,\Phi,\rho)$$-univexity. Zbl 1424.90263
Antczak, Tadeusz; Verma, Ram
2018
On nonsmooth $$(\Phi,\rho)$$-invex multiobjective programming in finite-dimensional Euclidean spaces. Zbl 1319.90061
2014
Sufficient optimality criteria and duality for multiobjective variational control problems with $$G$$-type I objective and constraint functions. Zbl 1319.49033
2015
Duality for multiobjective variational control problems with $$(\Phi, \rho)$$-invexity. Zbl 1314.65080
2014
A new characterization of (weak) Pareto optimality for differentiable vector optimization problems with $$G$$-invex functions. Zbl 1225.90161
2011
The exact $$G$$-penalty function method and $$G$$-invex mathematical programming problems. Zbl 1235.90143
2011
The modified objective function method for univex multiobjective variational problems. Zbl 07040775
Antczak, Tadeusz; Jayswal, Anurag; Jha, Shalini
2019
Multiobjective programming with $$(p,r)$$-invexity. Zbl 1052.90073
2001
First-order duality results for a new class of nonconvex semi-infinite minimax fractional programming problems. Zbl 1343.90099
Antczak, Tadeusz; Mishra, S. K.; Upadhyay, B. B.
2016
Optimality conditions for $$E$$-differentiable vector optimization problems with the multiple interval-valued objective function. Zbl 1476.90295
Antczak, Tadeusz; Abdulaleem, Najeeb
2020
Optimality and duality results for $$E$$-differentiable multiobjective fractional programming problems under $$E$$-convexity. Zbl 07459320
Antczak, Tadeusz; Abdulaleem, Najeeb
2019
A necessary and sufficient condition on the equivalence between local and global optimal solutions in variational control problems. Zbl 1431.49010
Treanţă, Savin; Arana-Jiménez, Manuel; Antczak, Tadeusz
2020
Optimality conditions for $$E$$-differentiable vector optimization problems with the multiple interval-valued objective function. Zbl 1476.90295
Antczak, Tadeusz; Abdulaleem, Najeeb
2020
The modified objective function method for univex multiobjective variational problems. Zbl 07040775
Antczak, Tadeusz; Jayswal, Anurag; Jha, Shalini
2019
Optimality and duality results for $$E$$-differentiable multiobjective fractional programming problems under $$E$$-convexity. Zbl 07459320
Antczak, Tadeusz; Abdulaleem, Najeeb
2019
Exactness property of the exact absolute value penalty function method for solving convex nondifferentiable interval-valued optimization problems. Zbl 1386.49045
Antczak, T.
2018
Modified objective function approach for multitime variational problems. Zbl 1424.49006
Jayswal, Anurag; Antczak, Tadeusz; Jha, Shalini
2018
Parametric nondifferentiable multiobjective fractional programming under $$(b,\Psi,\Phi,\rho)$$-univexity. Zbl 1424.90263
Antczak, Tadeusz; Verma, Ram
2018
The minimal criterion for the equivalence between local and global optimal solutions in nondifferentiable optimization problem. Zbl 1387.90194
Arana-Jiménez, Manuel; Antczak, Tadeusz
2017
Optimality conditions and duality results for nonsmooth vector optimization problems with the multiple interval-valued objective function. Zbl 1399.90286
2017
On optimality conditions and duality results in a class of nonconvex quasidifferentiable optimization problems. Zbl 1370.90185
Antczak, T.
2017
$$\eta$$-approximation method for non-convex multiobjective variational problems. Zbl 1375.65079
Antczak, Tadeusz; Michalak, Anna
2017
Parametric approach to multitime multiobjective fractional variational problems under $$(F,\rho)$$-convexity. Zbl 1348.90560
Antczak, Tadeusz; Pitea, Ariana
2016
Optimality conditions in quasidifferentiable vector optimization. Zbl 1349.49017
Antczak, T.
2016
Sufficient optimality conditions for semi-infinite multiobjective fractional programming under ($$\Phi,\rho$$)-$$V$$-invexity and generalized ($$\Phi,\rho$$)-$$V$$-invexity. Zbl 1474.90464
2016
First-order duality results for a new class of nonconvex semi-infinite minimax fractional programming problems. Zbl 1343.90099
Antczak, Tadeusz; Mishra, S. K.; Upadhyay, B. B.
2016
Parametric saddle point criteria in semi-infinite minimax fractional programming problems under $$(p,r)$$-invexity. Zbl 1346.90782
2015
Saddle point criteria and Wolfe duality in nonsmooth $$(\Phi , \rho)$$-invex vector optimization problems with inequality and equality constraints. Zbl 1310.90101
2015
Sufficient optimality criteria and duality for multiobjective variational control problems with $$G$$-type I objective and constraint functions. Zbl 1319.49033
2015
Proper efficiency and duality for a new class of nonconvex multitime multiobjective variational problems. Zbl 1308.65107
Pitea, Ariana; Antczak, Tadeusz
2014
Second order $$(\Phi, \rho)$$-$$V$$-invexity and duality for semi-infinite minimax fractional programming. Zbl 1364.90325
Antczak, Tadeusz; Zalmai, G. J.
2014
On efficiency and mixed duality for a new class of nonconvex multiobjective variational control problems. Zbl 1298.65103
2014
Sufficient optimality criteria and duality for multiobjective variational control problems with $$B-(p,r)$$-invex functions. Zbl 1330.65095
Antczak, Tadeusz; Jiménez, Manuel Arana
2014
Second order duality results for multiobjective programming problems under second order $$(\Phi, \rho)$$-invexity. Zbl 1311.90105
2014
On nonsmooth $$(\Phi,\rho)$$-invex multiobjective programming in finite-dimensional Euclidean spaces. Zbl 1319.90061
2014
Duality for multiobjective variational control problems with $$(\Phi, \rho)$$-invexity. Zbl 1314.65080
2014
A lower bound for the penalty parameter in the exact minimax penalty function method for solving nondifferentiable extremum problems. Zbl 1282.90171
Antczak, T.
2013
The exact $$l_1$$ penalty function method for constrained nonsmooth invex optimization problems. Zbl 1266.49024
2013
Saddle point criteria and the exact minimax penalty function method in nonconvex programming. Zbl 1279.49022
2013
Proper efficiency conditions and duality results for nonsmooth vector optimization in Banach spaces under $$(\varPhi, \rho)$$-invexity. Zbl 1235.90133
2012
The vector exact $$l_{1}$$ penalty method for nondifferentiable convex multiobjective programming problems. Zbl 1245.90113
2012
$$(\Phi , \rho )$$-invexity in nonsmooth optimization. Zbl 1229.90133
Antczak, Tadeusz; Stasiak, Aleksandra
2011
Nonsmooth minimax programming under locally Lipschitz $$(\Phi , \rho )$$-invexity. Zbl 1245.90143
2011
A new exact exponential penalty function method and nonconvex mathematical programming. Zbl 1211.90176
2011
Saddle points criteria via a second order $$\eta$$-approximation approach for nonlinear mathematical programming involving second order invex functions. Zbl 1242.90171
2011
A new characterization of (weak) Pareto optimality for differentiable vector optimization problems with $$G$$-invex functions. Zbl 1225.90161
2011
The exact $$G$$-penalty function method and $$G$$-invex mathematical programming problems. Zbl 1235.90143
2011
Saddle points criteria in nondifferentiable multiobjective programming with $$V$$-invex functions via an $$\eta$$-approximation method. Zbl 1205.90255
2010
G-saddle point criteria and G-Wolfe duality in differentiate mathematical programming. Zbl 1242.90224
2010
The $$l_{1}$$ penalty function method for nonconvex differentiable optimization problems with inequality constraints. Zbl 1203.90124
2010
On $$G$$-invex multiobjective programming. I: Optimality. Zbl 1191.90052
2009
On $$G$$-invex multiobjective programming. II: Duality. Zbl 1192.90186
2009
Exact penalty functions method for mathematical programming problems involving invex functions. Zbl 1163.90792
2009
Optimality and duality for nonsmooth multiobjective programming problems with $$V$$-$$r$$-invexity. Zbl 1206.49035
2009
Generalized $$B-(p, r)$$-invexity functions and nonlinear mathematical programming. Zbl 1176.90465
2009
A second order $$\eta$$-approximation method for constrained optimization problems involving second order invex functions. Zbl 1212.90307
2009
Optimality conditions and duality for nondifferentiable multiobjective programming problems involving $$d$$-$$r$$-type I functions. Zbl 1216.90068
2009
Generalized fractional minimax programming with $$B-(p,r)$$-invexity. Zbl 1155.90455
2008
$$G$$-pre-invex functions in mathematical programming. Zbl 1219.90126
2008
An $$\eta$$-approximation method for nonsmooth multiobjective programming problems. Zbl 1163.90699
2008
New optimality conditions and duality results of $$G$$ type in differentiable mathematical programming. Zbl 1143.90034
2007
A modified objective function method in mathematical programming with second order invexity. Zbl 1141.90538
2007
Saddle-point criteria in an $$\eta$$-approximation method for nonlinear mathematical programming problems involving invex functions. Zbl 1138.90027
Antczak, T.
2007
Second order convexity and a modified objective function method in mathematical programming. Zbl 1188.90251
2007
An $$\eta$$-approximation approach in nonlinear vector optimization with univex functions. Zbl 1202.90229
2006
A modified objective function method for solving nonlinear multiobjective fractional programming problems. Zbl 1163.90725
2006
An $$\eta$$-approximation approach to duality in mathematical programming problems involving $$r$$-invex functions. Zbl 1140.90048
2006
Strict minimizers of order $$m$$ in nonsmooth optimization problems. Zbl 1150.90007
Antczak, Tadeusz; Kisiel, Krzysztof
2006
Mean value in invexity analysis. Zbl 1100.26005
2005
$$r$$-preinvexity and $$r$$-invexity in mathematical programming. Zbl 1129.90052
Antczak, T.
2005
An $$\eta$$-approximation method in nonlinear vector optimization. Zbl 1093.90053
2005
The notion of $$V$$-$$r$$-invexity in differentiable multiobjective programming. Zbl 1140.90485
Antczak, T.
2005
Relationships between pre-invex concepts. Zbl 1103.90398
2005
Saddle point criteria and duality in multiobjective programming via an $$\eta$$-approximation method. Zbl 1123.90343
2005
A new method of solving nonlinear mathematical programming problems involving $$r$$-invex functions. Zbl 1139.90023
2005
Modified ratio objective approach in mathematical programming. Zbl 1093.90061
Antczak, T.
2005
$$(p,r)$$-invexity in multiobjective programming. Zbl 1053.90115
2004
Minimax programming under $$(p,r)$$-invexity. Zbl 1061.90115
2004
An $$\eta$$-approximation approach for nonlinear mathematical programming problems involving invex functions. Zbl 1071.90032
2004
$$B$$-$$(p,r)$$-pre-invex functions. Zbl 1109.26009
2004
A new approach to multiobjective programming with a modified objective function. Zbl 1059.90126
2003
A class of $$B$$-($$p$$,$$r$$)-invex functions and mathematical programming. Zbl 1046.90101
2003
Generalized $$(p,r)$$-invexity in mathematical programming. Zbl 1097.90042
2003
Multiobjective programming under $$d$$-invexity. Zbl 1027.90076
2002
Lipschitz $$r$$-invex functions and nonsmooth programming. Zbl 1103.49303
2002
$$(p,r)$$-invex sets and functions. Zbl 1051.90018
2001
On $$(p,r)$$-invexity-type nonlinear programming problems. Zbl 1052.90072
2001
A sufficient condition for optimality in nondifferentiable invex programming. Zbl 1153.90560
2001
Fractional programming with $$(p,r)$$-invexity. Zbl 1052.90093
2001
Multiobjective programming with $$(p,r)$$-invexity. Zbl 1052.90073
2001
all top 5