Multiobjective Symmetric Duality in Higher-Order Fractional Variational Programming

Arshpreet Kaur; Mahesh Kumar Sharma; Izhar Ahmad

doi:10.1142/S0217595922500087

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 journal › Article › peer-review

Abstract

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 language	English
Article number	2250008
Journal	Asia-Pacific Journal of Operational Research
Volume	40
Issue number	2
DOIs	https://doi.org/10.1142/S0217595922500087
State	Published - 1 Apr 2023

Bibliographical note

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

Keywords

higher-order duality
Symmetric programs
variational programs

ASJC Scopus subject areas

Management Science and Operations Research

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10.1142/S0217595922500087

Cite this

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abstract = "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.",

keywords = "higher-order duality, Symmetric programs, variational programs",

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AU - Ahmad, Izhar

N1 - Publisher Copyright: © World Scientific Publishing Co. & Operational Research Society of Singapore.

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Y1 - 2023/4/1

N2 - 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.

AB - 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.

KW - higher-order duality

KW - Symmetric programs

KW - variational programs

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Multiobjective Symmetric Duality in Higher-Order Fractional Variational Programming

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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