(F, ρ)-invexity of higher order for multiobjective fractional variational problem

• Autorzy: Kumar P. , Sharma B.
• Języki publikacji: EN

Abstrakty

EN

Multiobjective fractional variational problem is considered and sufficient optimality conditions, characterizing efficiency of higher order, are obtained under the assumptions of (F,ρ)−invexity of higher order on the functionals involved. Parametric higher order dual of the above stated problem is proposed. Duality theorems are proved to relate efficient solutions of higher order for primal and its dual problem using generalized class of functionals.

Słowa kluczowe

EN

multiobjective; fractional; variational problem; efficiency of higher order; invexity; optimality; higher order duality

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2018
• Tom: Vol. 47, no. 2
• Strony: 131--146
• Opis fizyczny: Bibliogr. 23 poz., rys., tab.

Twórcy

autor

Kumar P.

• Department of Mathematics, Gargi College, (University of Delhi), New Delhi 110049, India

autor

Sharma B.

• Department of Mathematics, University of Delhi, Delhi 110007, India

Bibliografia

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• [16] PATEL, R. (2005) Mixed type duality for multiobjective fractional variational problem. International Journal of Mathematics and Mathematical Sciences 2005:1, 109–124.
• [17] SHARMA, S., JAYSWAL, A. and CHOUDHURY, S.(2017) Sufficiency and mixed type duality for multiobjective variational control problems involving α − V − univexity. Evolution Equations and Control Theory 6, 93–109.
• [18] STANCU-MINASIAN , I. M. (1997) Fractional Programming: Theory, Methods and Applications. Kluwer Academic Publishers, Dordrecht, The Netherlands.
• [19] STANCU-MINASIAN, I. M. and MITITELU, S. (2008) Multiobjective fractional variational problems with (ρ,b)-quasiinvexity. Proc. Rom. Acad. Ser. A Math. Phys. Tech. Sci. Inf. Sci. 9, 1.
• [20] STANCU, A. M. and STANCU-MINASIAN, I. M. (2011) Sufficiency criteria in continuous-time nonlinear programming under generalized (α,ρ)− (η,θ)-type I invexity. Rev. Roumaine Math. Pures Appl. 56(2), 169–179.
• [21] STANCU, A. M. and STANCU-MINASIAN, I. M. (2012) Carath´eodoryJohn-type sufficiency criteria in continuous-time nonlinear programming under generalized type I invexity. Math. Reports 16(64)4, 345–354.
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Uwagi

PL

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