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206 results on '"ANTCZAK, TADEUSZ"'

10. Exponential type duality for η-approximated variational problems

Author

Jha Shalini, Das Prasun, and Antczak Tadeusz

Subjects
variational problem, η-approximated variational problem, mond-weir dual variational problem, (p,r)-invexity, Management information systems, T58.6-58.62
Abstract

In this article, we use the so-called η-approximation method for solving a new class of nonconvex variational problems with exponential (p, r)-invex functionals. In this approach, we construct η-approximated variational problem and η-approximated Mond- Weir dual variational problem for the considered variational problem and its Mond-Weir dual variational problem. Then several duality results for considered variational problem and its Mond-Weir dual variational problem are proved by the help of duality results established between η-approximated variational problems mentioned above.

Published
2020
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43. Minimax programming under (p, r)-invexity

Author

Antczak, Tadeusz

Subjects
Mathematical programming -- Usage, Mathematical optimization -- Usage, Decision-making -- Analysis, Business, Business, general, Business, international
Abstract

The significance of minimax models and methods are recognized in a great variety of optimal decision making situations. The application of (p, r)-invexity for a class of minimax programming problems in the area of the mathematical programming is discussed.

Published
2004

44. (p, r)-Invexity in multiobjective programming

Author

Antczak, Tadeusz

Subjects
Mathematical optimization -- Analysis, Duality theory (Mathematics) -- Usage, Mathematical programming -- Analysis, Business, Business, general, Business, international
Abstract

A generalization of convexity, namely (p, r)-invexity, is considered in the case of nonlinear multi-objective programming problems where the functions involved are differentiable. Some duality results are obtained for such optimization problems.

Published
2004

48. Multiobjective programming under d-invexity

Author

Antczak, Tadeusz

Subjects
Multiple criteria decision making -- Research, Nonlinear programming -- Research, Business, Business, general, Business, international
Abstract

Research into a generalization of convexity with regard to nonlinear multiobjective programming problems with functions which are nondifferentiable is presented. This work uses directional derivatives in connection with a hypothesis of an invex form.

Published
2002

50. Parametric nondifferentiable multiobjective fractional programming under (b, Ψ, Φ, ρ)-univexity

Author

ANTCZAK, Tadeusz and VERMA, Ram

Subjects
Matematik, Mathematics::Optimization and Control, Parametric multiobjective fractional programming,nondifferentiable vector-valued $(b,\Psi,\Phi,\rho )$-univex function,parametric optimality conditions,parametric duality, Mathematics
Abstract

In this paper, we are concerned with optimality conditions and duality results for nondifferentiable multiobjective fractional programming problems. Parametric necessary optimality conditions are established for such vector optimization problems in which each component of the involved functions is locally Lipschitz. Further, under the introduced concept of nondifferentiable $(b,\Psi ,\Phi ,\rho )$-univexity, the parametric sufficient optimality conditions are established for a new class of nonconvex multiobjective fractional programming problems. Furthermore, for the considered multiobjective fractional programming problem, its parametric vector dual problem in the sense of Schaible is defined. Then several duality theorems are also established under $(b,\Psi ,\Phi ,\rho )$% -univexity hypotheses.

Published
2018

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