Multiobjective higher order symmetric  duality via variational and Cone constraints

Authors

  • Narmada Behera Department of Mathematics, School of Applied Sciences,\\Kalinga Institute of Industial Techmology$($KIIT$)$ Deemed to be University,\\ Bhubaneswar-751024,odisa.India
  • Saumya Ranjan Jena Department of Mathematics, School of Applied Sciences,\\Kalinga Institute of Industial Techmology$($KIIT$)$ Deemed to be University,\\ Bhubaneswar-751024,odisa.India.
  • G. Biswal Department of Mathematics, KISS, Bhubaneswar-751024, India
  • S. K. Padhan Department of Mathematics, Veer Surendra Sai University of Technology,Burla-768018, India

Abstract

Over cone constraints a new model for a pair of multiobjective third order symmetric duality is established. Under the assumptions of third order $F$-convexity, several duality results (weak duality, strong duality and converse duality) are discussed. The current efforts generalize a few well-known findings that are published in the literature.

Published

11/28/2025