Optimality conditions and duality for generalized fractional minimax programming involving locally Lipschitz (b,Ψ,Φ,ρ) -univex functions

• Autorzy: Antczak T. , Mishra S. K. , Upadhyay B. B.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we are concerned with optimality conditions and duality results of generalized fractional minimax programming problems. Sufficient optimality conditions are established for a class of nondifferentiable generalized fractional minimax programming problems, in which the involved functions are locally Lipschitz (b,Ψ,Φ,ρ)-univex. Subsequently, these optimality conditions are utilized as a basis for constructing various parametric and nonparametric duality models for this type of fractional programming problems and proving appropriate duality theorems.

Słowa kluczowe

EN

generalized fractional minimax programming; locally Lipschitz (b,Ψ,Φ,ρ)-univex function; optimality conditions; duality

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2018
• Tom: Vol. 47, no. 1
• Strony: 5--32
• Opis fizyczny: Bibliogr. 44 poz., rys., tab.

Twórcy

autor

Antczak T.

• Faculty of Mathematics and Computer Science, University of L ´od´z, Banacha 22, 90-238 Lodz, Poland

autor

Mishra S. K.

• Department of Mathematics, Institute of Science, Banaras Hindu University Varanasi-221005, India bhu

autor

Upadhyay B. B.

• Department of Mathematics, Indian Institute of Technology Patna Bihta-801103, Bihar, India

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).