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Multiobjective Symmetric Duality in Higher-Order Fractional Variational Programming

Author

Listed:
  • Arshpreet Kaur

    (P.G. Department of Mathematics, MCM DAV College for Women, Chandigarh-160036, India)

  • Mahesh Kumar Sharma

    (School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab-147004, India)

  • Izhar Ahmad

    (Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran-31261, Saudi Arabia)

Abstract

We introduce new classes of higher-order functional, termed higher-order (F,α, Ï ,d)−convex and higher-order (C,α,Ï ,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.

Suggested Citation

  • Arshpreet Kaur & Mahesh Kumar Sharma & Izhar Ahmad, 2023. "Multiobjective Symmetric Duality in Higher-Order Fractional Variational Programming," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 40(02), pages 1-24, April.
    • Handle: RePEc:wsi:apjorx:v:40:y:2023:i:02:n:s0217595922500087
    DOI: 10.1142/S0217595922500087
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