Multiobjective Symmetric Duality in Higher-Order Fractional Variational Programming

Arshpreet Kaur (), Mahesh Kumar Sharma () and Izhar Ahmad
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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

Asia-Pacific Journal of Operational Research (APJOR), 2023, vol. 40, issue 02, 1-24

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.

Keywords: Symmetric programs; higher-order duality; variational programs (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0217595922500087

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