Title: Second order duality for variational problem via efficiency of higher order

Authors: Promila Kumar; Bharti Sharma

Addresses: Department of Mathematics, Gargi College (University of Delhi), New Delhi 110049, India ' Department of Mathematics, University of Delhi, Delhi 110007, India

Abstract: A mixed type second order dual of a multiobjective variational problem has been considered. Notion of generalised second order (F, ρ, θ, m)-invexity is introduced which is utilised to obtain duality results using efficiency of higher order as optimality criteria. Generalised second order (F, ρ, θ, m)-invexity assumptions broadens the domain of the problem, whereas efficiency of higher order leads to stronger results.

Keywords: second order duality; variational problem; efficiency of higher order.

DOI: 10.1504/IJMOR.2019.096976

International Journal of Mathematics in Operational Research, 2019 Vol.14 No.1, pp.15 - 29

Received: 02 Feb 2017
Accepted: 29 May 2017

Published online: 14 Dec 2018 *

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