Multiobjective Symmetric Duality in Higher-Order Fractional Variational Programming

Arshpreet Kaur, Mahesh Kumar Sharma, Izhar Ahmad*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We introduce new classes of higher-order functional, termed higher-order (F, α, ρ, d)−convex and higher-order (C, α, ρ, d)−convex functionals. These classes are illustrated by nontrivial examples. A pair of higher-order multiobjective symmetric fractional variational programs with cone constraints and fixed boundary conditions is formulated. Appropriate duality results are discussed utilizing the aforementioned assumptions. The results in this paper are generalizations of the results already existing in literature.

Original languageEnglish
Article number2250008
JournalAsia-Pacific Journal of Operational Research
Issue number2
StatePublished - 1 Apr 2023

Bibliographical note

Publisher Copyright:
© World Scientific Publishing Co. & Operational Research Society of Singapore.


  • higher-order duality
  • Symmetric programs
  • variational programs

ASJC Scopus subject areas

  • Management Science and Operations Research


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