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Fractional variational duality results for higher-order multiobjective problems

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Abstract

This paper provides a study of multiobjective fractional variational programs involving support functions. It then explains the concept of higher-order K–\(\eta \) convex. The paper’s motivation is to study the duality results for the value of primal and dual programs. The numerical example of functional is discussed, which is higher-order K–\(\eta \) convex but not first-order K–\(\eta \) convex. A real-world example is considered to verify the results of the weak duality theorem.

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Acknowledgements

The first author is grateful to CSIR, New Delhi, India for providing (File 09/677(0043)/2019-EMR-I) financial support for this research work and the second author gratefully acknowledges technical support from the Seed Money Project TU/DORSP/57/7293 of TIET, Patiala. Also, authors acknowledge DST-FIST (Govt. of India, SR/FST/MS-1/2017/13) for sponsoring School of Mathematics, TIET, Patiala.

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  1. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, India

    Vivek Dhingra & N. Kailey

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  1. Vivek Dhingra
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  2. N. Kailey
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Correspondence to N. Kailey.

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Dhingra, V., Kailey, N. Fractional variational duality results for higher-order multiobjective problems. Japan J. Indust. Appl. Math. 40, 1175–1201 (2023). https://doi.org/10.1007/s13160-023-00572-z

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  • DOI: https://doi.org/10.1007/s13160-023-00572-z

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