Higher order efficiency and duality for multiobjective variational problem

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

Abstrakty

EN

In this paper, multiobjective variational programming problem is considered. Mond-Weir type higher order duality results are established by using the efficiency of higher order as the optimization tool. In order to prove these results, we propose the notion of generalized higher order (F,ρ,θ,m,h)−invexity.

Słowa kluczowe

EN

higher order duality; variational problem; efficiency of higher order

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2017
• Tom: Vol. 46, no. 2
• Strony: 137--145
• Opis fizyczny: Bibliogr. 5 poz., rys.

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

• [1] JAYSWAL, A., STANCU-MINASIAN, I. M. and CHOUDHURY S. (2015) Second order duality for variational problems involving generalized convexity. Opsearch 52, 582–596.
• [2] KUMAR, P. and SHARMA, B. (2016) Multiobjective variational problem through generalized (F,ρ)-Invex functionals of higher order. Communications on Applied Nonlinear Analysis 23(3), 79–92. MITITELU, S. and STANCU-MINASIAN, I. M. (2009) Efficiency and duality for multiobjective fractional variational problems with (ρ,b)-quasiinvexity. Journal of Operations Research 19, 85–99.
• [3] PADHAN, S. K. and NAHAK, C. (2013) Higher order generalized invexity in variational problems. Mathematical Methods in the Applied Sciences 36, 1334–1341.
• [4] SHARMA, S. (2015) Duality for higher order variational control programming problems. International Transactions in Operational Research, 1–12.
• [5] STANCU-MINASIAN, I. M. and MITITELU, S. (2008) Multiobjective fractional variational problems with (ρ,b)-quasiinvexity. Rom. Acad. Series A Math. Phys. Tech. Sci. Inf. Sci 9, 5–11.

Uwagi

PL

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